Hidden-Markov-Model-Based Asynchronous H∞ Tracking Control of Fuzzy Markov Jump Systems

This article is concerned with the problem of imperfect premise matching asynchronous H-infinity output tracking control for Takagi-Sugeno fuzzy Markov jump systems. A hidden Markov model is established due to the fact that the modes information of the system may not be accurately transmitted to the controller, which is used to depict the asynchronous phenomenon between the system modes and controller modes. The packet loss in the communication process is described by a stochastic variable subject to Bernoulli distribution. Then, based on a novel Lyapunov function, the mode-dependent and fuzzy-basis-dependent stability criteria are derived and the asynchronous control scheme is developed subject to an H-infinity tracking performance. Finally, two examples are provided to demonstrate the effectiveness of the proposed approach.

Automated summary

This article addresses the issue of imperfect premise matching and asynchronous behavior in H-infinity output tracking control for Takagi-Sugeno fuzzy Markov jump systems. A hidden Markov model is utilized to capture the asynchronous phenomenon between system and controller modes, with packet loss described by a stochastic variable. Novel Lyapunov function is employed to derive stability criteria and develop an asynchronous control scheme with H-infinity tracking performance, validated through two examples.