Asynchronous L-1-gain control of uncertain switched positive linear systems with dwell time

作者：Li, Yang^*; Zhang, Hongbin

来源：ISA Transactions, 2018, 75: 25-37.

DOI：10.1016/j.isatra.2018.02.013

• Asynchronous L-1-gain control
• Uncertain switched positive linear systems
• Dwell time
• Time-scheduled multiple linear co-positive
• Lyapunov function

In this paper, dwell time (DT) stability, L-1-gain performance analysis and asynchronous L-1-gain controller design problems of uncertain switched positive linear systems (SPLSs) are investigated. Via a time-scheduled multiple linear co-positive Lyapunov TSMLCLF) approach, convex sufficient conditions of DT stability and L-1-gain performance of SPLSs with interval and polytopic uncertainties are presented, Furthermore, by utilizing the feature that the TSMLCLF keeps decreasing even if the controller is running asynchronously with the system, the asynchronous L-1-gain controller design problem of SPLSs with interval and polytopic uncertainties is investigated. Convex sufficient conditions of the existence of time-varying asynchronous state-feedback controller which can ensure the closed-loop system's positivity, stability and L-1-gain performance are established, and the controller gain matrices can be calculated instantaneously online. The obtained L-1-gain in the paper is standard. All the results are presented in terms of linear programming. A practical example is provided to show the effectiveness of the results.

• 出版日期2018-4
• 单位电子科技大学