Hidden mode based controller design for a class of hybrid singular Markovian jump delay systems

• Published in: IEEE access Vol. 10; p. 1
• Main Authors: Song, Wei, Li, Bo, Zhao, Junjie
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.01.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: actuator saturation; Actuators; Aerospace engineering; Behavioral sciences; Control systems design; Controllers; Delay effects; Finite-time <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H <sub xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">∞ control; Finite-time H∞ control; Hidden Markov models; Hybrid systems; Markov processes; stochastic singular systems; Switches; Symmetric matrices; time delay; Time lag
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2022.3231109

In this paper, the finite-time H ∞ control problem for a class of hybrid singular Markovian jump systems with time delay and actuator saturation is studied. Considering the discontinuities caused by Markovian jump switching behavior, a hidden mode based controller is designed to ensure the mean-square locally finite-time H ∞ stability of the considered system. Secondly, the parameter solving method of the designed controller is derived based on LMI method. Finally, a numerical example is given to verify the correctness of the method.