CN107933915A - A kind of air-robot based on six rotor wing unmanned aerial vehicles - Google Patents
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- G—PHYSICS
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- G05D1/00—Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
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Abstract
Description
技术领域technical field
本发明涉及一种空中机器人,尤其是一种基于六旋翼无人机的空中机器人。The invention relates to an aerial robot, in particular to an aerial robot based on a six-rotor drone.
背景技术Background technique
六旋翼无人机是一种装备有自动控制器、通信系统、传感器及数据处理单元等航空电子设备,并能够在无人干扰的情况下完成自主飞行任务的无人驾驶的飞行系统。它可根据机载设备对自身飞行状况及周边环境进行量化评估,从而制定合理的应对措施与飞行策略。另外,在自身机械机构出现故障时,六旋翼无人机还能根据当前结构特点采取最优解决方案。由于这些独特的优势,六旋翼无人机逐渐成为难以替代的空中平台,在军事与民用上有着广泛的应用。在军事上,它可用于战场勘察、禁飞巡逻、电子对抗、情报获取等任务;在民用上,它可用于环境监测、电力检测、高压巡线、森林防火、农林喷雾等作业。The six-rotor UAV is an unmanned flight system equipped with avionics such as automatic controllers, communication systems, sensors, and data processing units, and can complete autonomous flight tasks without human interference. It can quantitatively evaluate its own flight status and surrounding environment according to the airborne equipment, so as to formulate reasonable countermeasures and flight strategies. In addition, when its own mechanical mechanism fails, the six-rotor UAV can also adopt the optimal solution according to the current structural characteristics. Due to these unique advantages, the hexacopter UAV has gradually become an irreplaceable aerial platform and has a wide range of applications in military and civilian applications. In the military, it can be used for tasks such as battlefield survey, no-fly patrol, electronic countermeasures, and intelligence acquisition; in civilian use, it can be used for environmental monitoring, power detection, high-voltage line inspection, forest fire prevention, and agricultural and forestry spraying.
目前,国内外执行高空作业的机械臂无法自由快速运作且存在地形和高度的局限性,若将机械臂加装到旋翼飞行器上,则可大大增加机械臂操控的自由度,扩大机械臂的应用范围。六旋翼无人机不需要跑道就能够自动起飞与降落,且能够实现定点悬停。另外,六旋翼无人机比四旋翼无人机多了一对冗余桨叶,故抗风性能更强。因此,将机械臂装载到六旋翼无人机上,可以提高机械臂作业时的稳定性与鲁棒性。At present, domestic and foreign robotic arms that perform high-altitude operations cannot operate freely and quickly, and there are limitations in terrain and height. If the robotic arm is installed on the rotorcraft, the degree of freedom of robotic arm control can be greatly increased, and the application of the robotic arm can be expanded. scope. The six-rotor UAV can automatically take off and land without a runway, and can achieve fixed-point hovering. In addition, the six-rotor UAV has a pair of redundant blades than the quad-rotor UAV, so it has stronger wind resistance. Therefore, loading the robotic arm on the six-rotor UAV can improve the stability and robustness of the robotic arm during operation.
带机械臂的单旋翼空中机器人有广阔的应用前景,例如它能够迅速到达地面机器人无法进入的特殊环境(如火灾、水灾、地震灾害现场)执行安装或回收作业设备等精细任务。在现有的技术中,基于旋翼飞行器的空中机器人能够在三维空间中自由运动,具有垂直起降、定点悬停、灵活性高、机动性强的优点,可以代替人类完成高危环境信息获取与作业等任务。A single-rotor aerial robot with a robotic arm has broad application prospects. For example, it can quickly reach special environments that ground robots cannot enter (such as fire, flood, and earthquake disaster sites) to perform delicate tasks such as installing or recovering operating equipment. In the existing technology, aerial robots based on rotorcraft can move freely in three-dimensional space, have the advantages of vertical take-off and landing, fixed-point hovering, high flexibility, and strong maneuverability, and can replace humans to complete high-risk environmental information acquisition and operations and other tasks.
发明内容Contents of the invention
为解决现有技术存在六旋翼无人机与外部环境交互作业的缺陷,本发明提供一种基于六旋翼无人机的空中机器人,能够拓展空中机器人的应用领域,协助人工执行一些高危作业任务,降低人员伤亡的可能性,提高作业效率。In order to solve the defects of the prior art that the six-rotor UAV interacts with the external environment, the present invention provides an aerial robot based on the six-rotor UAV, which can expand the application field of the aerial robot and assist manual execution of some high-risk tasks. Reduce the possibility of casualties and improve operating efficiency.
为实现上述目的,本发明采用下述技术方案:To achieve the above object, the present invention adopts the following technical solutions:
一种基于六旋翼无人机的空中机器人,它包括六旋翼无人机、机载控制系统和二自由度机械臂,六旋翼无人机为六旋翼飞行器,六旋翼无人机机身顶部安装有机载控制系统,六旋翼无人机机身底部安装有二自由度机械臂;An aerial robot based on a six-rotor drone, which includes a six-rotor drone, an airborne control system and a two-degree-of-freedom mechanical arm. The six-rotor drone is a six-rotor aircraft, and the top of the six-rotor drone fuselage is installed There is an on-board control system, and a two-degree-of-freedom mechanical arm is installed at the bottom of the six-rotor UAV body;
机载控制系统包括飞行控制系统与机械臂控制系统,飞行控制系统实时采集六旋翼无人机的飞行数据,处理后产生指令实时传输,来控制六旋翼无人机的六个旋翼电机,机械臂控制系统实时采集二自由度机械臂各关节的位置及姿态信息,处理后发出指令来调整各转动关节的角度和夹持器的位置及姿态。The airborne control system includes the flight control system and the robotic arm control system. The flight control system collects the flight data of the six-rotor UAV in real time, and generates instructions for real-time transmission after processing to control the six rotor motors and the robotic arm of the six-rotor UAV. The control system collects the position and attitude information of each joint of the two-degree-of-freedom manipulator in real time, and issues instructions to adjust the angle of each rotating joint and the position and attitude of the gripper after processing.
进一步地,六个旋翼电机为3508-690kv无刷电机,且其转向两两相反;Furthermore, the six rotor motors are 3508-690kv brushless motors, and their directions are opposite in pairs;
六个旋翼电机由六个电调控制,并分别与对应六个旋翼相连。The six rotor motors are controlled by six ESCs and connected to the corresponding six rotors.
进一步地,六旋翼无人机机身包括脚架、机臂、中心板和挂载杆,六个机臂末端的电机座上分别对应安装有六个旋翼,中心板正下方设有挂载杆,挂载杆下方挂有锂电池;Furthermore, the fuselage of the six-rotor UAV includes a tripod, an arm, a center plate and a mounting rod, and six rotors are respectively installed on the motor bases at the ends of the six arms, and a mounting rod is provided directly below the center plate , a lithium battery is hung under the mounting bar;
中心板上安装有机载控制系统,挂载杆与二自由度机械臂固接;The on-board control system is installed on the center plate, and the mounting rod is fixedly connected to the two-degree-of-freedom mechanical arm;
中心板为U型连接板。The central board is a U-shaped connecting board.
进一步地,六旋翼无人机机身采用碳纤维材质;Further, the fuselage of the six-rotor UAV is made of carbon fiber;
六个旋翼均采用尼龙碳纤玻纤复合材质。The six rotors are all made of nylon carbon fiber glass fiber composite material.
进一步地,二自由度机械臂包括基座、前端连杆、后端连杆、夹持器和舵机模块,基座的前端与六旋翼无人机的挂载杆固接,基座的后端通过第一转动关节与前端连杆连接,前端连杆与后端连杆之间通过第二转动关节连接,后端连杆与夹持器之间通过第三转动关节连接,第一转动关节、第二转动关节和第三转动关节均由大扭力数字舵机控制来进行0-180度的旋转;Further, the two-degree-of-freedom mechanical arm includes a base, a front-end connecting rod, a rear-end connecting rod, a gripper, and a steering module. The end is connected to the front connecting rod through the first rotating joint, the front connecting rod is connected to the rear connecting rod through the second rotating joint, the rear connecting rod is connected to the holder through the third rotating joint, and the first rotating joint , The second revolving joint and the third revolving joint are controlled by a high-torque digital servo to rotate 0-180 degrees;
舵机模型根据机载控制系统的控制信号,控制每个关节处的数字舵机来调整二自由度机械臂各转动关节的角度和夹持器的位置及姿态。According to the control signal of the onboard control system, the steering gear model controls the digital steering gear at each joint to adjust the angle of each rotating joint of the two-degree-of-freedom manipulator and the position and attitude of the gripper.
进一步地,夹持器由拟人机械手爪构成,机械手爪包括两组内侧为锯齿形圆弧面的半爪,每组半爪由三层锯齿形薄片通过螺栓连接组成。Further, the gripper is composed of anthropomorphic manipulator claws, and the manipulator claws include two sets of half-claws whose insides are sawtooth-shaped arc surfaces, and each set of half-claws is composed of three layers of sawtooth-shaped sheets connected by bolts.
进一步地,飞行控制系统包括STM32F427嵌入式模块、惯性测量单元、高度计、磁力计和双模GPS模块,STM32F427嵌入式模块、惯性测量单元、高度计和磁力计均垂直安装在机载控制板上,双模GPS模块安装在六旋翼无人机中心板的支架杆上;Further, the flight control system includes an STM32F427 embedded module, an inertial measurement unit, an altimeter, a magnetometer and a dual-mode GPS module. The STM32F427 embedded module, an inertial measurement unit, an altimeter and a magnetometer are all installed vertically on the airborne control board. The modular GPS module is installed on the bracket pole of the center plate of the six-rotor UAV;
惯性测量单元、高度计、磁力计和双模GPS模块用来测量空中机器人的姿态角、三轴加速度、三轴角速度、飞行高度和经纬度信息,被采集到的信息均由STM32F427嵌入式模块进行处理后产生指令,指令通过六个I/O端口分别实时传送给六个电调来控制六旋翼无人机的六个旋翼电机;The inertial measurement unit, altimeter, magnetometer and dual-mode GPS module are used to measure the attitude angle, three-axis acceleration, three-axis angular velocity, flight height and latitude and longitude information of the aerial robot. The collected information is processed by the STM32F427 embedded module Generate instructions, which are sent to the six ESCs in real time through the six I/O ports to control the six rotor motors of the hexacopter UAV;
双模GPS模块为GPS与电子罗盘集成模块。The dual-mode GPS module is an integrated module of GPS and electronic compass.
进一步地,机械臂控制系统包括中央处理器、加速度计、角速度计和线速度计,均垂直安装在机载控制板上;Further, the control system of the manipulator includes a central processing unit, an accelerometer, an angular velocity meter and a linear velocity meter, all of which are vertically installed on the airborne control board;
加速度计、角速度计和线速度计用来测量二自由度机械臂各关节的位置、线速度、角速度及相应的加速度信息,中央处理器根据采集到的信息发出指令给传送给数字舵机来调整相应转动关节的角度和夹持器的位置及姿态。The accelerometer, angular velocity meter and linear velocity meter are used to measure the position, linear velocity, angular velocity and corresponding acceleration information of each joint of the two-degree-of-freedom manipulator. The central processing unit sends instructions to the digital steering gear for adjustment according to the collected information Correspondingly rotate the angle of the joint and the position and posture of the gripper.
进一步地,二自由度机械臂的运动是由机械臂控制系统按照各关节最佳柔顺性准则来控制的,该准则根据下式计算机械臂运动学逆解:Further, the motion of the two-degree-of-freedom manipulator is controlled by the manipulator control system according to the optimal compliance criterion of each joint, which calculates the inverse kinematic solution of the manipulator according to the following formula:
其中,F(L)为求解机械臂逆解的目标函数,L为当前描述的机械臂,n为关节数目,qi(L)为第i个关节的目标位置,qid为第i个关节的当前位置。Among them, F(L) is the objective function for solving the inverse solution of the manipulator, L is the currently described manipulator, n is the number of joints, q i (L) is the target position of the i-th joint, and q id is the i-th joint the current location of .
进一步地,二自由度机械臂的前端连杆、后端连杆与夹持器长度的比例为0.45:0.45:1。Further, the ratio of the length of the front-end link, the back-end link of the two-degree-of-freedom robot arm to the length of the gripper is 0.45:0.45:1.
有益效果:Beneficial effect:
本发明解决了六旋翼无人机与外部环境交互作业的问题,实现了对空中或地面目标的捕捉,扩大空中机器人的应用范围,还具有稳定可靠、安全灵活、操作方便等优点。The invention solves the problem of interactive operation between the six-rotor UAV and the external environment, realizes the capture of air or ground targets, expands the application range of aerial robots, and has the advantages of stability, reliability, safety and flexibility, and convenient operation.
附图说明Description of drawings
图1为本发明一实施例的总体结构示意图;Fig. 1 is the overall structure schematic diagram of an embodiment of the present invention;
图2为本发明一实施例的六旋翼无人机结构示意图;Fig. 2 is a schematic structural diagram of a six-rotor UAV according to an embodiment of the present invention;
图3为本发明一实施例的二自由度机械臂结构示意图;3 is a schematic structural diagram of a two-degree-of-freedom mechanical arm according to an embodiment of the present invention;
图4为本发明一实施例的飞行控制系统结构框图;Fig. 4 is a structural block diagram of the flight control system of an embodiment of the present invention;
图5为本发明一实施例的机械臂控制系统结构框图。Fig. 5 is a structural block diagram of a control system of a manipulator according to an embodiment of the present invention.
具体实施方式Detailed ways
下面结合附图和实施例对本发明进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
本发明一种基于六旋翼无人机的空中机器人,如图1和2所示,它包括六旋翼无人机1、机载控制系统2和二自由度机械臂3,六旋翼无人机1为六旋翼飞行器,六旋翼无人机1机身顶部安装有机载控制系统2,六旋翼无人机1机身底部安装有二自由度机械臂3;The present invention is an aerial robot based on a six-rotor unmanned aerial vehicle, as shown in Fig. It is a hexacopter aircraft, with an on-board control system 2 installed on the top of the fuselage of the six-rotor drone 1, and a two-degree-of-freedom mechanical arm 3 installed at the bottom of the fuselage of the six-rotor drone 1;
机载控制系统2包括飞行控制系统与机械臂控制系统,飞行控制系统实时采集六旋翼无人机1的飞行数据,处理后产生指令实时传输,来控制六旋翼无人机1的六个旋翼电机5,机械臂控制系统实时采集二自由度机械臂3各关节的位置及姿态信息,处理后发出指令来调整各转动关节的角度和夹持器11的位置及姿态;The airborne control system 2 includes a flight control system and a robotic arm control system. The flight control system collects the flight data of the hexacopter UAV 1 in real time, and generates instructions for real-time transmission after processing to control the six rotor motors of the hexacopter UAV 1. 5. The manipulator control system collects the position and attitude information of each joint of the two-degree-of-freedom manipulator 3 in real time, and issues instructions to adjust the angle of each rotating joint and the position and attitude of the gripper 11 after processing;
六个旋翼电机5为3508-690kv无刷电机,且其转向两两相反,产生偏航力来互相抵消旋翼6对机身产生的力矩;The six rotor motors 5 are 3508-690kv brushless motors, and their steering directions are opposite in pairs, generating yaw force to offset the torque generated by the rotor 6 on the fuselage;
六个旋翼电机5由六个电调22控制,并分别与对应六个旋翼6相连,提供转速;The six rotor motors 5 are controlled by six electric regulators 22, and are respectively connected to the corresponding six rotors 6 to provide rotational speed;
六旋翼无人机1由机身、六个旋翼6和六个无刷电机5组成,给二自由度机械臂3提供了移动平台;The six-rotor UAV 1 is composed of a fuselage, six rotors 6 and six brushless motors 5, providing a mobile platform for the two-degree-of-freedom mechanical arm 3;
六旋翼无人机1机身包括脚架7、六个机臂8、两层中心板9和挂载杆10,中心板9正下方设有挂载杆10,挂载杆10下方挂有锂电池,便于为空中机器人提供动力来源;The fuselage of the six-rotor UAV 1 includes a tripod 7, six arms 8, a two-layer center plate 9 and a mounting rod 10. A mounting rod 10 is provided directly below the center plate 9. Batteries, which are convenient to provide power sources for aerial robots;
中心板9上安装有机载控制系统2,挂载杆10与二自由度机械臂3固接;An on-board control system 2 is installed on the center plate 9, and the mounting rod 10 is fixedly connected to the two-degree-of-freedom mechanical arm 3;
中心板9为U型连接板;The central plate 9 is a U-shaped connecting plate;
六旋翼无人机1机身采用碳纤维材质,具有密度小、硬度大、质量轻的优点,也避免了金属材料易产生金属疲劳、不耐腐蚀的缺点,起到结构框架的作用;The fuselage of the six-rotor UAV 1 is made of carbon fiber, which has the advantages of low density, high hardness, and light weight. It also avoids the shortcomings of metal materials that are prone to metal fatigue and corrosion resistance, and plays the role of a structural frame;
六个旋翼6均采用尼龙碳纤玻纤复合材质,具有轻质高强、耐腐蚀性好的优点;六个机臂8末端的电机座上分别对应安装有六个旋翼6,提供飞机向上运动的升力和提供飞行运动的操纵力与力矩。The six rotors 6 are all made of nylon carbon fiber glass fiber composite material, which has the advantages of light weight, high strength, and good corrosion resistance; six rotors 6 are respectively installed on the motor bases at the ends of the six arms 8 to provide lift for the upward movement of the aircraft And provide the control force and moment of flight motion.
如图3所示,二自由度机械臂3包括基座15、前端连杆14、后端连杆12、夹持器11和舵机模块,基座15的前端与六旋翼无人机1的挂载杆10固接,基座15的后端通过第一转动关节131与前端连杆14连接,前端连杆14与后端连杆12之间通过第二转动关节132连接,后端连杆12与夹持器11之间通过第三转动关节133连接,第一转动关节131、第二转动关节132和第三转动关节133均由大扭力数字舵机28控制来进行0-180度的旋转;As shown in Figure 3, the two-degree-of-freedom mechanical arm 3 includes a base 15, a front-end connecting rod 14, a rear-end connecting rod 12, a gripper 11 and a steering module, and the front end of the base 15 is connected to the six-rotor UAV 1. The mounting rod 10 is fixedly connected, the rear end of the base 15 is connected with the front connecting rod 14 through the first rotating joint 131, the front connecting rod 14 is connected with the rear connecting rod 12 through the second rotating joint 132, and the rear connecting rod 12 and the holder 11 are connected by the third rotary joint 133, the first rotary joint 131, the second rotary joint 132 and the third rotary joint 133 are all controlled by a large torque digital steering gear 28 to perform 0-180 degree rotation ;
舵机模型根据机载控制系统2的控制信号,控制每个关节处的数字舵机28来调整二自由度机械臂3各转动关节的角度和夹持器11的位置及姿态;The steering gear model controls the digital steering gear 28 at each joint to adjust the angle of each rotating joint of the two-degree-of-freedom mechanical arm 3 and the position and attitude of the gripper 11 according to the control signal of the onboard control system 2;
夹持器11由拟人机械手爪构成,机械手爪包括两组内侧为锯齿形圆弧面的半爪,每组半爪由三层锯齿形薄片通过螺栓连接组成,用来夹持不规则物体。The gripper 11 is composed of anthropomorphic manipulator claws. The manipulator claws include two sets of half-claws whose insides are sawtooth-shaped arc surfaces. Each set of half-claws is composed of three layers of zigzag-shaped sheets connected by bolts to clamp irregular objects.
如图4所示,飞行控制系统包括STM32F427嵌入式模块19、惯性测量单元18、高度计16、磁力计20和双模GPS模块17,STM32F427嵌入式模块19、惯性测量单元18、高度计16和磁力计20均垂直安装在机载控制板上,双模GPS模块17安装在六旋翼无人机1中心板9的支架杆4上,防大电流对罗盘的干扰;As shown in Figure 4, the flight control system includes STM32F427 embedded module 19, inertial measurement unit 18, altimeter 16, magnetometer 20 and dual-mode GPS module 17, STM32F427 embedded module 19, inertial measurement unit 18, altimeter 16 and magnetometer 20 are all installed vertically on the airborne control board, and the dual-mode GPS module 17 is installed on the support rod 4 of the center plate 9 of the six-rotor UAV 1 to prevent the interference of large currents on the compass;
惯性测量单元18、高度计16、磁力计20和双模GPS模块17用来测量空中机器人的姿态角(俯仰角、滚转角、偏航角)、三轴加速度、三轴角速度、飞行高度和经纬度信息,被采集到的信息均由处理速度为500MHz STM32F427嵌入式模块19进行处理后产生指令,指令通过六个I/O端口21分别实时传送给六个电调22来控制六旋翼无人机1的六个旋翼电机5;Inertial measurement unit 18, altimeter 16, magnetometer 20 and dual-mode GPS module 17 are used to measure attitude angle (pitch angle, roll angle, yaw angle), three-axis acceleration, three-axis angular velocity, flight height and longitude and latitude information of aerial robot , the collected information is processed by the STM32F427 embedded module 19 with a processing speed of 500MHz to generate instructions, and the instructions are transmitted to the six ESCs 22 in real time through the six I/O ports 21 to control the six-rotor UAV 1. Six rotor motors 5;
双模GPS模块17为GPS与电子罗盘集成模块。The dual-mode GPS module 17 is an integrated module of GPS and electronic compass.
如图5所示,机械臂控制系统包括中央处理器26、加速度计24、角速度计25和线速度计27,均垂直安装在机载控制板上;As shown in Figure 5, the mechanical arm control system includes a central processing unit 26, an accelerometer 24, an angular velocity meter 25 and a linear velocity meter 27, all vertically installed on the airborne control panel;
加速度计24、角速度计25和线速度计27用来测量二自由度机械臂3各关节的位置、线速度、角速度及相应的加速度信息,中央处理器26根据采集到的信息发出指令给传送给数字舵机28来调整相应转动关节的角度和夹持器11的位置及姿态。Accelerometer 24, angular velocity meter 25 and linear velocity meter 27 are used to measure the position, linear velocity, angular velocity and corresponding acceleration information of each joint of the two-degree-of-freedom mechanical arm 3, and the central processing unit 26 sends instructions to send to The digital steering gear 28 is used to adjust the angle of the corresponding rotating joint and the position and posture of the gripper 11 .
本发明的实施方式是空中机器人依靠六旋翼无人机1到达目标物的上方或所要求的工作区间,并根据飞行控制系统保持悬停状态。二自由度机械臂3通过机械臂控制系统根据目标物或者任务需求调整自身的位置与姿态精确地完成作业任务。本发明基于六旋翼无人机的空中机器人具有灵活性强、操作精度高、稳定性好的优点,适合代替人类或者地面机器人完成一些高危作业任务。The embodiment of the present invention is that the aerial robot relies on the six-rotor UAV 1 to reach the top of the target or the required work area, and maintains a hovering state according to the flight control system. The two-degree-of-freedom robotic arm 3 adjusts its position and posture according to the target or task requirements through the robotic arm control system to accurately complete the task. The aerial robot based on the six-rotor unmanned aerial vehicle of the present invention has the advantages of strong flexibility, high operation precision, and good stability, and is suitable for replacing humans or ground robots to complete some high-risk tasks.
本发明引入关节最佳柔顺性准则来优化机械臂的可操作性,采用基于优化算法求解机械臂运动学逆解的目标函数为:The present invention introduces the optimal joint compliance criterion to optimize the operability of the manipulator, and uses an optimization algorithm to solve the objective function of the inverse solution of the kinematics of the manipulator is:
其中,F(L)为求解机械臂逆解的目标函数,L为当前描述的机械臂,n为关节数目,qi(L)为第i个关节的目标位置,qid为第i个关节的当前位置。因此,求运动学逆解可转换成求解目标函数F(L)极小值问题。本发明使用人工杂草算法求解此最优化问题,具体的伪代码为:Among them, F(L) is the objective function for solving the inverse solution of the manipulator, L is the currently described manipulator, n is the number of joints, q i (L) is the target position of the i-th joint, and q id is the i-th joint the current location of . Therefore, finding the kinematics inverse solution can be transformed into solving the problem of the minimum value of the objective function F(L). The present invention uses the artificial weed algorithm to solve this optimization problem, and the specific pseudocode is:
随机产生杂草位置random weed location
目标函数通过人工杂草算法优化后,不仅可以得到关节的最佳柔顺性,也可以得到二自由度机械臂3的前端连杆14、后端连杆12与夹持器11长度的比例为0.45:0.45:1。After the objective function is optimized by the artificial weed algorithm, not only the optimal compliance of the joints can be obtained, but also the ratio of the lengths of the front end link 14, the rear end link 12 and the gripper 11 of the two-degree-of-freedom manipulator 3 is 0.45 :0.45:1.
对本发明保护范围的限制,所属领域技术人员应该明白,在本发明的技术方案的基础上,本领域技术人员不需要付出创造性劳动即可做出的各种修改或变形仍在本发明的保护范围以内。For the limitation of the protection scope of the present invention, those skilled in the art should understand that on the basis of the technical solution of the present invention, various modifications or deformations that those skilled in the art can make without creative labor are still within the protection scope of the present invention within.
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