Asymptotic stabilization for switched affine systems with time delay: A novel dynamic event‐triggered mechanism

• Published in: International journal of robust and nonlinear control Vol. 33; no. 2; pp. 720 - 735
• Main Authors: Xie, Hongzhen, Zong, Guangdeng, Yang, Dong, Chen, Yunjun, Shi, Kaibo
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 25-01-2023
• Subjects: Algorithms; Asymptotic properties; asymptotic stability; Controllers; dynamic event‐triggered control; dynamic output feedback control; Dynamic stability; Linear matrix inequalities; Mathematical analysis; Output feedback; switched affine systems; Switching; Time lag; Voltage converters (DC to DC)
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.6439

This article concentrates on the asymptotic stabilization problem of switched affine systems (SASs) with unmeasurable states and time delay by constructing a novel dynamic event‐triggered mechanism (ETM). Given the limited network transmission and the difficulties caused by affine terms in excluding the triggering Zeno behavior, we propose a novel dynamic ETM. It has been shown that the dynamic ETM not only has fewer data transfers than the existing ETM but also avoids Zeno behavior while maintaining asymptotic stability. Then, by constructing a set of dynamic output feedback switched affine controllers and switching laws, delicately incorporating Lyapunov–Krasovskii functionals, an asymptotic stabilization criterion is derived for the closed‐loop SASs. The design methods of the controllers and switching laws are skillfully implemented by solving a set of linear matrix inequalities. Finally, an application example of the flyback DC–DC converter is offered to verify the proposed algorithm.