Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes

Abstract

In this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes and the controller modes. Sufficient conditions are established in the form of strict LMIs to guarantee that the closed-loop system is stochastically admissible and strictly (Q, S, R) − β dissipative. An asynchronous output feedback controller is successfully proposed, which is more general than synchronous and mode-independent ones. Finally, the effectiveness and validity of the obtained results are illustrated by a numerical example. INDEX TERMS singular Markov jump systems, asynchronous dissipative control, hidden Markov model, linear matrix inequalities (LMIs), Takagi-Sugeno (T-S) fuzzy model

Event-Triggered Extended Dissipativity Fuzzy Filter Design for Nonlinear Markovian Switching Systems against Deception Attacks

“…Despite many successes in this research, most practical systems are highly nonlinear, so linear MJSs impose marked limitations in real-world applications. In addition to overcoming this drawback, the T-S fuzzy models have recently been applied to deal with nonlinear complex systems due to their effective approximation of smoothly nonlinear models [7][8][9][10][11]. In general, the T-S fuzzy system encompasses Type-1 and Type-2 fuzzy systems.…”

Finite-Time Control of Singular Linear Semi-Markov Jump Systems

“…When the system was subject to amplitude bounded disturbance, the PD state feedback control method was extended to the reachable set synthesis problem [23]. The dissipative control problem for T-S fuzzy singular MJSs was studied in [24], where the state-dependent noise and asynchronous modes were considered. Based on the extended passivity theory, a non-fragile filter was designed for singular MJSs with time-varying delay and missing measurements in [25].…”