Controller synthesis for constrained discrete-time switched positive linear systems

详细信息    查看全文

• 作者：Jinjin Liu ^{jjliu@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Kanjian Zhang ; Guochen Pang ; Haikun Wei
• 关键词：Switched positive linear systems ; Stabilization ; Bounded controls ; Linear programming
• 刊名：Nonlinear Analysis: Hybrid Systems
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：19
• 期：Complete
• 页码：1-12
• 全文大小：618 K

文摘

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.