Sliding Mode Output Feedback Controller Design of Discrete-Time Markov Jump System Based on Hidden Markov Model Approach

This paper investigates the problem of sliding mode controller design based on output feedback for discrete-time Markov jump systems. Considering the typical asynchronous phenomenon for jump systems, here we adopt the Hidden Markov Model (HMM) to quantify the asynchronous degree. Based on this, a st...

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Bibliographic Details
Published in:IEEE Access
Main Authors: Ming Xu, Longhua Ma, Hongyu Ma, Zhaowen Xu
Format: Article
Language:English
Published: IEEE 2021-01-01
Subjects:
Sliding mode control
HMM
output feedback
iterative algorithm
Online Access:https://ieeexplore.ieee.org/document/9486932/
Description
Summary:This paper investigates the problem of sliding mode controller design based on output feedback for discrete-time Markov jump systems. Considering the typical asynchronous phenomenon for jump systems, here we adopt the Hidden Markov Model (HMM) to quantify the asynchronous degree. Based on this, a static output feedback sliding surface is constructed. Sufficient conditions in terms of bilinear matrix inequalities are proposed ensuring the sliding motion dynamic to be stochastically stable and its <inline-formula> <tex-math notation="LaTeX">$\mathcal {H}_\infty $ </tex-math></inline-formula> performance for the considered discrete time Markov jump systems. Moreover, the reachability of the sliding mode surface is ensured by a predesigned control law. The whole design scheme is presented by using an iterative algorithm. Finally, simulation results are presented to illustrate the effectiveness of the design methodology.
ISSN:2169-3536

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