Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 52, Issue 4, Pages 805-820Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2020.1841846
Keywords
Periodic piecewise systems; non-fragile control; Lyapunov matrix polynomials
Categories
Funding
- National Natural Science Foundation of China [62073083]
- Local Innovative and Research Teams Project of Guangdong Special Support Program [2019BT02X353]
- Guangdong Natural Science Funds for Distinguished Young Scholar [2019B151502026]
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This paper investigates non-fragile H-infinity control for periodic piecewise time-varying systems, analyzing the H-infinity performance using Lyapunov function and matrix polynomial properties to design controllers and guarantee system stability and performance.
This paper investigates the problem of non-fragile H-infinity control for periodic piecewise time-varying systems. Based on a Lyapunov function with continuous time-varying Lyapunov matrix polynomial, and combining with the positiveness and negativeness properties of matrix polynomials, the H-infinity performance analysis is first accomplished. Then consider two types of controller gain perturbations that are formulated by time-varying matrix parameters and norm-bounded uncertainties. The additive and multiplicative non-fragile controllers to guarantee the H-infinity performance of the system are formed, of which the controller gain could be solved with linear matrix inequalities directly. The designed non-fragile H-infinity controller is desirable in applications. Finally, numerical examples demonstrate the effectiveness of the proposed methods.
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