Title :
H2 state feedback control for fuzzy singularly perturbed systems
Author :
Liu, Huaping ; Sun, Fuchun ; He, Kezhong ; Sun, Zengqi
Author_Institution :
Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China
Abstract :
This study introduces an H2 fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC ε-independent controller is developed to achieve the H2 performance for small enough ε. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).
Keywords :
H∞ control; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; singularly perturbed systems; state feedback; H2 state feedback control design; Takagi-Sugeno fuzzy model; bilinear matrix inequality; fuzzy parallel distributed compensation ϵ-independent controller; fuzzy singularly perturbed systems; linear matrix inequality; nonlinear singularly perturbed system; Control design; Control systems; Electrostatic precipitators; Fuzzy control; Fuzzy systems; Hydrogen; Lyapunov method; State feedback;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272469
