H∞$$ {\mathcal{H}}_{\infty } $$ static output feedback control for singularly perturbed persistent dwell‐time switched systems with time‐varying delay and deception attacks

This paper studies the static output feedback control issue for discrete-time singularly perturbed switched time-delay systems subject to randomly occurring deception attacks, in which the sequence for activated subsystems is governed by the persistent dwell-time switching strategy. The practical present phenomena that parameters alternately switch in fast or slow frequencies are characterized suitably with such strategy. Meanwhile, the deception attacks are assumed to occur in a random way that obeys the Bernoulli distribution. Moreover, some sufficient conditions are established by means of the Lyapunov stability theory, which guarantee the closed-loop system is mean-square exponentially stable with a prescribed H infinity$$ {\mathcal{H}}_{\infty } $$ performance. Furthermore, based on the matrix processing technology, the desired controller gains are obtained. Finally, the rationality and effectiveness of the proposed method are verified by a numerical example.