Observer-based finite-time asynchronous sliding mode control for Markov jump systems with time-varying delay

The issue of finite-time sliding mode control (SMC) is studied for a class of Markov jump systems, in which parameter uncertainties, external disturbances and time-varying delay are considered. Firstly, a suitable observer-based SMC law is devised so that state trajectory of the system can reach the designed sliding mode surface in finite-time, the gain of the controller is asynchronous to the mode of original system. Meanwhile, the sufficient conditions of finite-time boundedness in the sliding phase and reaching phase are derived by the time partition strategy. Moreover, the gains of the observer and the observer-based controller will be acquired by using the linear matrix inequalities tool. In fine, emulation products are used to confirm the merits of the SMC strategy. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the issue of finite-time sliding mode control for a class of Markov jump systems considering parameter uncertainties, external disturbances, and time-varying delay. A suitable observer-based control law is devised to achieve the finite-time reaching of the sliding mode surface, with the controller gain asynchronous to the mode of the original system. The sufficient conditions for finite-time boundedness in the sliding phase and reaching phase are derived using the time partition strategy. Additionally, the gains of the observer and the observer-based controller are obtained using linear matrix inequalities, and the merits of the SMC strategy are confirmed through emulation products.