Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism

作者：

Highlights：

• This paper proposes a linear event-triggered control strategy for the first time on the 2-D uncertain switched systems with positivity constraints.

• By using the persistent dwell time idea and the co-positive-type Lyapunov function approach, sufficient conditions are presented to ensure that the resulting closed-loop systems are positive and robust exponentially stable.

• Based on the matrix decomposition technique, two kinds of event-triggered non-fragile controllers are designed, and the corresponding explicit design schemes are also provided in terms of feasible solutions for some linear programming problems.

摘要

•This paper proposes a linear event-triggered control strategy for the first time on the 2-D uncertain switched systems with positivity constraints.•By using the persistent dwell time idea and the co-positive-type Lyapunov function approach, sufficient conditions are presented to ensure that the resulting closed-loop systems are positive and robust exponentially stable.•Based on the matrix decomposition technique, two kinds of event-triggered non-fragile controllers are designed, and the corresponding explicit design schemes are also provided in terms of feasible solutions for some linear programming problems.

论文关键词：Roesser model,Persistent dwell time switching,Event-triggered scheme,Non-fragile control,Positivity

论文评审过程：Received 18 December 2020, Revised 7 March 2021, Accepted 5 April 2021, Available online 24 April 2021, Version of Record 24 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126266