Finite-time asynchronous H∞ control for Markov jump repeated scalar non-linear systems with input constraints

This paper is concerned with the problem of finite-time H-infinity control for Markov jump repeated scalar nonlinear systems (MJRSNSs) with input constraints. The jumps between MJRSNSs and desired mode-dependent controllers are considered to be nonsynchronous. The mode transition of the controllers is governed by a nonstationary Markov chain, which can model the different degrees of asynchronous jumps between MJRSNSs and controllers. With the aid of Lyapunov-Krasovskii methodology, some H-infinity performance criteria for the MJRSNSs are proposed. Based on these criteria, sufficient conditions on the existence of the desired controllers are established, and then the gains of the controllers can be obtained by solving a convex optimization problem. Finally, an example is presented to illustrate the effectiveness of our method. (C) 2015 Elsevier Inc. All rights reserved.