Nonfragile Observer-Based Control for Markovian Jump Systems Subject to Asynchronous Modes

In this paper, the problem of resilient observer-based robust control is considered for discrete-time Markov jump systems subject to asynchronous models and extended dissipativity. The model uncertainty is in the interval type, which has an ability to describe parameter fluctuating phenomenon more accurately than using the norm-bounded uncertainty. A hidden Markov chain is employed to depict the mismatch between the original system and the observer-based controller. Conditions are provided to ensure the stability of the resulting closed-loop system with a desired dissipation performance regardless of the uncertainties. An example is presented to illustrate the effectiveness and potential of the proposed new design techniques.

Automated summary

This paper addresses the resilient observer-based robust control problem for discrete-time Markov jump systems with asynchronous models and extended dissipativity. It introduces interval-type model uncertainty for more accurate parameter fluctuation description and utilizes a hidden Markov chain to represent system-observer mismatch. Conditions are given to ensure stability of the closed-loop system with desired dissipation performance, regardless of uncertainties. An example is provided to demonstrate the effectiveness and potential of the new design techniques proposed.