H∞$$ {H}_{\infty } $$ tracking control for uncertain switched stochastic systems with mixed time‐varying delays

Abstract

This article concerns the exponential H ∞ tracking control problem of uncertain switched stochastic systems with mixed time-varying delays including discrete delay and distributed delay. First, according to the multiple Lyapunov-Krasovskii functional described by the mixed time-varying delays and the average dwell time method, a delay-dependent sufficient conclusion is obtained, which makes the augmented system mean-square exponential stable and satisfies the H ∞ tracking performance. Then, the corresponding controllers are designed to ensure that the system has H ∞ model reference tracking performance based on the above stability analysis. Finally, a numerical example and water quality preservation problems are employed to corroborate the usefulness of the method. K E Y W O R D Saverage dwell time, H ∞ tracking control, mixed time-varying delays, uncertain switched stochastic system

Security event‐triggered control for uncertain NCSs against multi‐channel optimal jamming attacks

“…The main sources of system uncertainty are unmodeled dynamics, time-varying system parameters, and external disturbances, which is mainly manifested in data-packet loss, time-delay and so forth. 22,23 A system with uncertainty is a more realistic circumstance, which makes research more difficult but far-reaching. In order to address the parameter uncertainty, a linear continuous-time robust control method is proposed by addressing an equivalent optimal control problem.…”

“…The main sources of system uncertainty are unmodeled dynamics, time‐varying system parameters, and external disturbances, which is mainly manifested in data‐packet loss, time‐delay and so forth 22,23 . A system with uncertainty is a more realistic circumstance, which makes research more difficult but far‐reaching.…”