Abstract
A new fuzzy control method for nonlinear pipeline system is discussed in this paper. The nonlinear dynamics of pipeline system is composed by two gravity-flow tanks, and are described by Takagi-Sugeno (T-S) fuzzy model. The controller design is based on overall stability, and is carried out via the parallel distributed compensation (PDC) scheme. To obtain better output dynamic performance, a given bounds is introduced to the output of nonlinear systems. Moreover, by means of linear matrix inequality (LMI) technique, it is shown that the existence of such constrained control system can be transformed into the feasibility of a convex optimization problem. Finally, by applying the designed controller, the simulation results demonstrate the efficiency.
Supported by the Key Project of Chinese Ministry of Education (NO105088).
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Tanaka, K., Sugeno, M.: Stability Analysis and Design of Fuzzy Control Systems. Fuzzy Sets and Systems 45, 135–156 (1992)
Wang, H.O., Tanaka, K., Griffin, M.F.: Parallel Distributed Compensation of Nonlinear Systems by Takagi-Sugeno Fuzzy Model. In: Proc. FUZZ-IEEE/IFES 1995, pp. 531–538 (1995)
Boyd, S., EI Ghaoui, L., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia (1994)
Sira-Ramirez, H., Angulo-Nunez, M.I.: Passivity-Based Control of Nonlinear Chemical Processes. Int. J. Control 68, 971–996 (1997)
Teixeira, M.C.M., Zak, S.H.: Stabilizing Controller Design for Uncertain Nonlinear Systems Using Fuzzy Models. IEEE Trans. Fuzzy Syst. 7, 133–142 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liu, F., Chen, J. (2005). Fuzzy Control of Nonlinear Pipeline Systems with Bounds on Output Peak. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_120
Download citation
DOI: https://doi.org/10.1007/11539506_120
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28312-6
Online ISBN: 978-3-540-31830-9
eBook Packages: Computer ScienceComputer Science (R0)