Title :
A new approach to exponential stabilization for a class of nonlinear networked systems with stochastic delays
Author :
Yao, Hejun ; Yuan, Zheng
Author_Institution :
Sch. of Math. & Stat., Anyang Normal Univ., Anyang, China
Abstract :
A new approach to exponential stabilization for a class of nonlinear networked systems with stochastic delays is given in this paper. By using the fuzzy T-S method, a new model of nonlinear networked control systems with is derived. The networked induced delays are assumed to have some stochastic characteristics. A stochastic variable satisfying Bernoulli distribution is introduced with the probability of the delays taking value in different interval. With the Lyapunov stability theorem, a exponential stabilization condition and a state feedback controller design method are obtained. And all the conditions are expressed in terms of LMI. Finally, a numerical example is given to demonstrate the validity of the results.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delay systems; distributed parameter systems; fuzzy systems; linear matrix inequalities; networked control systems; nonlinear control systems; state feedback; statistical distributions; stochastic systems; Bernoulli distribution; LMI; Lyapunov stability theorem; delay probability; exponential stabilization condition; fuzzy T-S method; linear matrix inequality; networked induced delays; nonlinear networked control systems; state feedback controller design method; stochastic delays; stochastic variable; Delay; Linear matrix inequalities; Networked control systems; Numerical stability; Stability criteria; Stochastic processes; Exponential Stability; Networked control systems; Stochastic delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244295
