Finite-Time H∞ Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint

• Published in: IEEE access Vol. 12; pp. 170089 - 170097
• Main Authors: Ren, Xuejing, Li, Bo, Zhao, Junjie
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Constraints; Control systems design; Design optimization; Feedback control; Finite-time H∞ controller design; H-infinity control; Linear matrix inequalities; optimize control; Output feedback; saturation constraint; Simulation; singular positive systems; Stability analysis; State feedback; Switches; Thermal stability; Time varying control; Time-varying systems; Uncertainty
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2024.3499348

In this article, the finite-time <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> control problem for singular positive Markovian jump systems with time-varying delay and saturation constraint was studied. Firstly, considering the discontinuities caused by the mode-dependent singular matrix and Markov jump switching behavior, a state feedback controller is designed to guarantee the positivity and mean-square locally finite-time <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> stability of the considered system. Secondly, the maximum finite-time domain of attraction of the considered system subject to input saturation is estimated. Finally, to show the effectiveness of our control strategy, the simulation results are given.