Extended dissipative anti-disturbance control for delayed switched singular semi-Markovian jump systems with multi-disturbance via disturbance observer. (June 2021)

• Record Type: Journal Article
• Authors: Ding, Kui; Zhu, Quanxin
• Is Part Of: Automatica. Volume 128(2021)
• Publication Date: 2021-06
• Subjects: Extended dissipative performance -- Anti-disturbance control -- Delayed switched singular semi-Markovian jump systems -- Multi-disturbance -- Disturbance observer; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109556
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is devoted to investigating the issues on extended dissipative anti-disturbance control for switched singular semi-Markovian jump systems with multiple disturbance and time-delay via disturbance observer. Different from the existing results, this paper introduces a relatively new and comprehensive system model, namely, switched semi-Markovian jump model, which is more general than Markovian jump model in describing the phenomenon of random mutation of system structure and parameters. Moreover, the uncertain transition rates in the considered switched semi-Markovian process include two cases of indeterminate bounded and thoroughly unknown, rather than the common single partially unknown case. Particularly, the designed composite controller that ensures that the closed-loop system achieves stochastic admissible is easier to calculate than the related working methods. In addition, an optimization algorithm to constrain control gain is developed in this paper, which can effectively reduce control cost in practice to some extent. Finally, for the sake of substantiating the validity of the proposed method, a numerical example is provided.