Title :
A novel switching control algorithm and stabilization condition
Author :
Jia, Bao-Zhu ; Ren, Guang ; Zhang, Jun-Dong
Author_Institution :
Marine Eng. Coll., Dalian Maritime Univ., China
Abstract :
This paper aiming at the phenomenon of nonsmooth switching in multiple systems, proposes a novel control algorithm named fuzzy switching multiple (FSM) models based on Takagi-Sugeno fuzzy model. Parallel distributed compensation (PDC) scheme is employed to design the controller for FSM. Linear matrix inequality (LMI) condition for ensuring the stability of the close-loop system consisting of a switching fuzzy model and controller is derived from using fuzzy Lyapunov function (FLF). Under this condition, the close-loop of FSM system guarantees stability as well as smooth switching performance. A design example illustrates the utility of the proposed approach.
Keywords :
Lyapunov matrix equations; closed loop systems; compensation; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; Takagi-Sugeno fuzzy model; close-loop system stability; controller design; fuzzy Lyapunov function; fuzzy switching multiple model; linear matrix inequality; nonsmooth switching; parallel distributed compensation; smooth switching; switching control algorithm; Fuzzy control; Fuzzy sets; Fuzzy systems; Lyapunov method; Nonlinear equations; Sliding mode control; Stability; State-space methods; Switches; Takagi-Sugeno model; Fuzzy control; smoothness; stability condition; switching;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527043
