Title :
H∞ control for nonlinear NCS with interval time-varying delay and packet dropouts
Author :
Chu, Hongyan ; Fei, Shumin ; Xia, Chunmei ; Zhai, Junyong
Author_Institution :
Sch. of Electr. & Autom. Eng., Nanjing Normal Univ., Nanjing, China
Abstract :
This paper presents a new approach to the problems of analysis and synthesis for nonlinear networked control systems(NNCSs) which can be represented by a T-S fuzzy model with consideration of interval-varying delay and packet dropouts. Neither free weighting matrices nor model transformations are employed in the derivation of system stability criteria. Instead, the significant features are to construct an improved Lyapunov function and to introduce an extended Jessen´s inequality. The controllers are shown in terms of linear matrices inequalities, which can be computed through solving a convex optimization problem. Simulation result and numerical example shows the effectiveness of the method.
Keywords :
H∞ control; Lyapunov methods; control system analysis; control system synthesis; convex programming; delays; distributed parameter systems; linear matrix inequalities; nonlinear control systems; stability criteria; time-varying systems; H∞ control; Jessen inequality; Lyapunov function; T-S fuzzy model; convex optimization problem; free weighting matrices; interval time-varying delay; linear matrices inequalities; model transformations; nonlinear networked control systems; packet dropouts; system stability criteria; Computational modeling; Control system synthesis; Delay; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Network synthesis; Nonlinear control systems; Stability criteria; LMI; T-S fuzzy model; convex optimization;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498716