Stabilization of semi-Markovian jump systems via a quantity limited controller. (November 2021)

• Record Type: Journal Article
• Authors: Wang, Guoliang
• Is Part Of: Nonlinear analysis. Volume 42(2021)
• Publication Date: 2021-11
• Subjects: Semi-Markovian jump system -- Markovian jump system -- Stabilization -- Quantity limited controller -- Linear matrix inequalities (LMIs); Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101085
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper addresses the stabilization problem of continuous-time semi-Markovian jump systems (s-MJSs), where the quantity of a controller to be designed has a limitation. A principle designing such a controller is proposed based on its stationary probability sequence. Sufficient conditions for the existence of the designed controller are obtained by applying a Lyapunov function approach and presented with LMIs. The controller mentioned above is proved to be a minimal variance approximation of mode-dependent controllers having total modes. More special cases about Markovian switching and without minimal variance approximation are further studied. A practical example is used to demonstrate the effectiveness and superiority of the proposed methods.