Observer-based Adaptive Control for a Class of Uncertain Switched Systems with Time-delay: A Sliding Mode Approach

This article is devoted to the exponential stabilization problem of time-varying delay switched systems with nonlinear uncertainties via sliding mode technique. First of all, anon-fragile observer is established to deal with the case that the partial or total measurement of state variables is unavailable, from which a new sliding manifold is constructed. An exponential stability criteria of the dynamics in sliding phase is then devised in accordance with Lyapunov stability theory, linear matrix inequality and average dwell time method. Furthermore, the arrival condition of the designated sliding manifold is satisfied by utilizing the developed adaptive sliding mode controller. At last, the feasibility of the proposed control scheme is confirmed through two illustrative examples.