Title：Finite-time Stability and Time-varying H∞ Control for Periodic Piecewise Systems
Speaker: Professor James Lam
Department of Mechanical Engineering, The University of Hong Kong, Hong Kong
时间：2018年11月15日10:00-11:00
地点：2教南524
Abstract: Periodic piecewise systems, which combine the periodicity and switching properties, can be regarded as approximations of general periodic systems. In this talk, solutions to the finite-time stability, stabilization, L2-gain and H-infinity control problems for a class of continuous-time periodic piecewise linear systems are presented. Based on a piecewise Lyapunov-like function, the finite-time stability, stabilization and L2-gain criteria are proposed, and an H-infinity control scheme with periodically time-varying controller gains is designed to guarantee the finite-time boundedness of the closed-loop system. Numerical simulations are provided to show the effectiveness of the proposed criteria.
Short Biography：Professor J. Lam received a BSc (1st Hons.) degree in Mechanical Engineering from the University of Manchester, MPhil and PhD degrees from the University of Cambridge. Prior to joining the Department of Mechanical Engineering, The University of Hong Kong in 1993 where he is now Chair of Control Engineering, Professor Lam was lecturer at the City University of Hong Kong and the University of Melbourne. He is a Cheung Kong Chair Professor and a Highly Cited Researcher (2014, 2015, 2016, Thomson Reuters).
Professor Lam is a Chartered Mathematician, Chartered Scientist, Chartered Engineer, Fellow of IEEE, IET, IMA, and IMechE. He is Editor-in-Chief of IET Control Theory and Applications and Journal of The Franklin Institute, Subject Editor of Journal of Sound and Vibration, Editor of Asian Journal of Control, Associate Editor of Automatica, Proc. IMechE Part I: Journal of Systems and Control Engineering, International Journal of Systems Science, and three other SCI journals, and Senior Editor on Systems & Control of Cogent Engineering. His research interests include model reduction, robust control and filtering, delay systems, singular systems, positive systems, Markovian jump systems, multidimensional systems, networked control systems, vibration control, and complex networks.
Speaker: Professor James Lam
Department of Mechanical Engineering, The University of Hong Kong, Hong Kong
时间：2018年11月15日10:00-11:00
地点：2教南524
Abstract: Periodic piecewise systems, which combine the periodicity and switching properties, can be regarded as approximations of general periodic systems. In this talk, solutions to the finite-time stability, stabilization, L2-gain and H-infinity control problems for a class of continuous-time periodic piecewise linear systems are presented. Based on a piecewise Lyapunov-like function, the finite-time stability, stabilization and L2-gain criteria are proposed, and an H-infinity control scheme with periodically time-varying controller gains is designed to guarantee the finite-time boundedness of the closed-loop system. Numerical simulations are provided to show the effectiveness of the proposed criteria.
Short Biography：Professor J. Lam received a BSc (1st Hons.) degree in Mechanical Engineering from the University of Manchester, MPhil and PhD degrees from the University of Cambridge. Prior to joining the Department of Mechanical Engineering, The University of Hong Kong in 1993 where he is now Chair of Control Engineering, Professor Lam was lecturer at the City University of Hong Kong and the University of Melbourne. He is a Cheung Kong Chair Professor and a Highly Cited Researcher (2014, 2015, 2016, Thomson Reuters).
Professor Lam is a Chartered Mathematician, Chartered Scientist, Chartered Engineer, Fellow of IEEE, IET, IMA, and IMechE. He is Editor-in-Chief of IET Control Theory and Applications and Journal of The Franklin Institute, Subject Editor of Journal of Sound and Vibration, Editor of Asian Journal of Control, Associate Editor of Automatica, Proc. IMechE Part I: Journal of Systems and Control Engineering, International Journal of Systems Science, and three other SCI journals, and Senior Editor on Systems & Control of Cogent Engineering. His research interests include model reduction, robust control and filtering, delay systems, singular systems, positive systems, Markovian jump systems, multidimensional systems, networked control systems, vibration control, and complex networks.