Comments on “Stability, l2-Gain, and Robust $\text{H}_{\infty}$ Control for Switched Systems via N-Step-Ahead Lyapunov Function Approach”

IEEE Access

Siavash Fakhimi Derakhshan¹  Shoorangiz Shams Shamsabad Farahani² 

[1] Adaptive System Department, Institute of Information Theory and Automation, Czech Academy of Science, Prague, Czech Republic;Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Eslamshahr, Iran;

关键词: Switched system;    average dwell time;    N -step ahead Lyapunov function;    robust control;   

DOI  :  10.1109/ACCESS.2018.2886231

来源: DOAJ

【 摘 要 】

This paper presents a momentous aspect that should be considered in the stability analysis and synthesis of switched systems by investigating an N-step ahead Lyapunov function (LF) approach. By considering these traits, the proposed incorrect theorems in the aforementioned paper are revised to new ones. An illustrative numerical example manifests the effectiveness of our proposed approach. Unlike the assertion in the aforementioned paper when the monotonic requirement of LF is relaxed, the switching is not necessarily gentler. Also, our results indicate that our approach guarantees lower average dwell time.

【 授权许可】

Unknown