Finite-time observer-based control for Markovian jump systems with time-varying generally uncertain transition rates. (January 2021)

• Record Type: Journal Article
• Authors: Li, Mengjun; Li, Xiaohang; Lu, Dunke
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 43:Number 2(2021)
• Page Start: 451
• Page End: 463
• Publication Date: 2021-01
• Subjects: Markovian jump systems -- finite-time stability -- time-varying generally uncertain transition rates -- observer design -- quantization mechanism; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331220964706
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper addresses the finite-time observer-based control for Markovian jump systems with time-varying generally uncertain transition rates. In order to estimate the states, a suitable observer is designed, in which both external disturbance and Brownian motion exist. In order to solve the complex time-varying transition rates, a quantization mechanism is raised to prove the closed-loop system and the observer error system be stable. Sufficient conditions of the existences of both the observer and the observer-based controller are derived in terms of linear matrix inequalities. Eventually, two practical examples are given to testify the correctness of the results.