Resilient H_∞ sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays

ABSTRACT

The resilient sliding mode control (SMC) problem for a class of discrete-time descriptor Takagi–Sugeno (T-S) fuzzy systems with multiple state delays is addressed. Attention is focused on the design of a discrete-time SMC such that the admissibility as well as the H_∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays and external disturbances. Based on a new sliding function, a delay-dependent sufficient condition is established to ensure the desired performance of the sliding mode dynamics on the specified sliding mode surface. Moreover, a resilient SMC law is established to satisfy the reaching condition. Finally, two examples are given to show the effectiveness and advantages of the proposed design SMC scheme.

KEYWORDS:

• Fuzzy descriptor systems
• multiple time delays
• discrete sliding mode control (DSMC)
• resilient control

Disclosure statement

No potential conflict of interest was reported by the authors.