Networked control for a class of T-S fuzzy systems with stochastic sensor faults. (English) Zbl 1285.93055

Peng, Chen; Fei, Min-Rui; Tian, Engang

Fuzzy Sets Syst. 212, 62-77 (2013).

Summary: This paper is concerned with networked control for a class of T-S fuzzy systems with stochastic sensor faults. First, a unified model of networked control system is proposed, which has two significant features: (a) the fault statistics of each sensor is individually quantified and (b) stochastic sensor faults and nonideal network Quality of Services (QoS), such as data dropout and network-induced delay, are coupled in a unified framework. Secondly, based on the Lyapunov-Krasovskii functional and the stochastic analysis technique, sufficient network-QoS-dependent conditions are derived for the stability analysis and controller design, respectively. Moreover, a modified Cone Complementary Linearization (CCL) algorithm is also introduced to solve the nonlinear matrix inequalities in the controller design. Finally, two examples are given to demonstrate the effectiveness of the proposed method.

MSC:

93C42	Fuzzy control/observation systems
94C12	Fault detection; testing in circuits and networks
93E03	Stochastic systems in control theory (general)
93B18	Linearizations

Keywords:

fuzzy system models; fault detection and diagnosis; networked control systems (NCSs); linear matrix inequalities (LMIs)