Title :
Synthesis of Discrete Nonlinear Passive Systems via Affine T-S Fuzzy Models with Input Energy Constraints
Author :
Chang, Wen-Jer ; Huang, Chien-Hsun ; Ku, Cheung-Chieh
Author_Institution :
Nat. Taiwan Ocean Univ., Keelung
Abstract :
In this paper, a Takagi-Sugeno (T-S) fuzzy controller is designed to deal with input energy constrained control problem for the discrete-time nonlinear passive systems which are presented by affine T-S fuzzy models. The stability conditions developed by Lyapunov theory are characterized as a bilinear matrix inequality (BMI) problem for the synthesis of the discrete-time nonlinear passive affine T-S fuzzy systems. It can not be solved via an optimization algorithm. Thus, an iterative linear matrix inequality (ILMI) algorithm is used to solve this BMI problem in this paper. Finally, a numerical simulation is given to show the applications of the present approach.
Keywords :
Lyapunov methods; control system synthesis; discrete systems; fuzzy control; iterative methods; linear matrix inequalities; nonlinear control systems; Lyapunov theory; T-S fuzzy models; Takagi-Sugeno fuzzy control; bilinear matrix inequality; discrete nonlinear passive systems; input energy constraints; iterative linear matrix inequality; Control system synthesis; Design engineering; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Oceans; Power engineering and energy; Stability analysis; Affine T-S fuzzy model; ILMI; Input constraint; S-procedure;
Conference_Titel :
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0828-3
Electronic_ISBN :
978-1-4244-0828-3
DOI :
10.1109/ICMA.2007.4303849
