Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults

Highlights：

• This paper investigates the dissipativity problem for mode-dependent T-S fuzzy systems with time-delay and actuator faults through the sampled-data information.

• The hidden Markov model concept is developed to describe the asynchronous situation between the actual delayed fuzzy system and the proposed non-fragile reliable controller.

• Designing a reliable controller that deals with unknown actuator faults and gain fluctuations to achieve the stochastic stability and dissipativity of closed-loop fuzzy mode-dependent system.

• A novel sampling and mode-dependent Lyapunov–Krasovskii functional (LKF) is formulated to the proposed system. Then, the dissipativity and stochastic stability conditions are derived in the form of linear matrix inequalities.

• Finally, the derived theoretical results are validated by practical system models in the numerical example.