Controller synthesis for constrained discrete-time switched positive linear systems. (February 2016)

• Record Type: Journal Article
• Authors: Liu, Jinjin; Zhang, Kanjian; Pang, Guochen; Wei, Haikun
• Is Part Of: Nonlinear analysis. Volume 19(2016)
• Page Start: 1
• Page End: 12
• Publication Date: 2016-02
• Subjects: Switched positive linear systems -- Stabilization -- Bounded controls -- Linear programming; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.07.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the controller synthesis for a class of discrete-time switched linear systems with bounds on the controls and the states. First, the synthesis of state-feedback controllers guaranteeing positivity and stability of the closed-loop system is studied for sign-restricted inputs. Also, the results can be extended to asymmetrically bounded controls and constrained states. All the derived conditions are shown as linear programming framework. In addition, a cost function is proposed to maximize the length of the box constraints on the initial state. Finally, several numerical examples illustrate the validity of the developed results.