In this paper, we address a synthesis problem of the parameter-dependent output feedback H∞ control for linear parameter-varying systems with time-delay. The scheme adopts the parameter-dependent past state information to construct the dynamic output feedback controller. In this case, on basis of the quadratic Lyapunov functional with parameter-dependence, we analyze the parameter-dependent H∞ stability conditions for the closed-loop time-delayed linear parameter-varying system in terms of linear matrix inequalities. However, this stability condition is of an infinite-dimension. To derive computationally tractable criteria for the dynamic output feedback controller, several slack variables and a convex relaxation technique are employed to have the infinite-dimensional condition of linear matrix inequalities cast into a finite dimensional convex optimization problem. By solving the convex optimization problem, we harvest the dynamic output feedback controller with memory for the time-delayed linear parameter-varying system. Finally, two examples are included to illustrate the effectiveness of the proposed approach.
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Recommended by Associate Editor Young Ik Son under the direction of Editor PooGyeon Park.
Jinjie Huang received his B.S. and M.S. degrees in automatic control from Harbin University of Science and Technology, Harbin, China, in 1990 and 1997, respectively, and a Ph.D. degree in control theory and control engineering from Harbin Institute of Technology, Harbin, China, in 2004. He is currently a full professor with the School of Automation and the School of Computer Science and Technology, Harbin University of Science and Technology, Harbin, China. His research interests include linear system control, network control system, nonlinear control system.
Xiaozhen Pan received her B.S. and M.S. degrees in automatic control from Harbin University of Science and Technology, Harbin, China, in 2014 and 2017, respectively, where she is currently working towards her Ph.D. degree. Her research interests include event-triggered control, robust control, and LPV system.
Xianzhi Hao received his B.S. and M.S. degrees in automatic control from Harbin University of Science and Technology, Harbin, China, in 2015 and 2017, respectively, where he is currently working towards his Ph.D. degree. His research interests include switching control, robust control, switched system and positive linear system.
Wanda Putra received his B.Eng. degree in Informatic Engineering and M.Eng. degree in Information Technology from Gadjah Mada University in 2015. Since August 2016, he is with the School of Computer Science and Technology from Harbin University of Science and Technology as a Ph.D. candidate. His research interests include mobile computing and network security.
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Huang, J., Pan, X., Hao, X. et al. Dynamic Output Feedback H∞ Control for Linear Parameter-varying Systems with Time-delay. Int. J. Control Autom. Syst. (2020). https://doi.org/10.1007/s12555-019-0792-z
- H∞ control
- linear matrix inequality
- linear parameter-varying system
- memory output feedback
- time-delayed system