Finite-time control for Markovian jump systems subject to randomly occurring quantization

• Published in: Applied mathematics and computation Vol. 385; p. 125402
• Main Authors: Kang, Wei, Gao, Qingfei, Cao, Menglong, Cheng, Jun
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.11.2020
• Subjects: Finite-time stability; Markovian switching system; Measurement quantization; Observer-based controller; Finite-time stability; Observer-based controller; Measurement quantization; Markovian switching system
• ISSN: 0096-3003
• DOI: 10.1016/j.amc.2020.125402

•A novel nonhomogeneous Markovian switching system is constructed by absorbing the phenomena of unmeasurable state and randomly occurring quantization.•Sufficient admissibility conditions are derived in a finite-time domain by utilizing Lyapunov function method.•A DC motor model is presented to explain the feasibility and validity of the proposed design method. This paper is concerned with the issue of finite-time control for Markovian jump systems randomly occurring quantization. By absorbing the phenomena of unmeasurable state and randomly occurring quantization, a novel nonhomogeneous Markovian switching system is constructed, and an observer-based controller and non-fragile observer are designed. By utilizing Lyapunov function method, sufficient admissibility conditions are derived for the stability of the underlying system in a finite-time domain. Finally, a DC motor model is presented to explain the feasibility and validity of the proposed design method.