Reduced-order controller design for the general Hinfin control problem

Authors:
Jianping Zeng;Du Lin;Peng Cheng
Affiliations:
Department of Automation, Xiamen University, Xiamen, PR China;Department of Automatic Control, North China Institute of Technology, Taiyuan, PR China;Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing, PR China
Venue:
International Journal of Systems Science
Year:
2006

Citing 4
Cited 0

All controllers for the general H∞ control problem: LMI existence conditions and state space formulas

Automatica (Journal of IFAC)
Robust and optimal control

Robust and optimal control
Low-order control design for LMI problems using alternating projection methods

Automatica (Journal of IFAC)
Reduced-order controllers for continuous and discrete-time singular H∞ control problems based on LMI

Automatica (Journal of IFAC)

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Abstract

This paper considers reduced-order controller design for the general H∞ control problem. Based on linear matrix inequality (LMI), two new upper bounds of order reduction are proposed in continuous- and discrete-time contexts respectively. The bounds have a clear geometric interpretation and are only determined by the generalized plant parameter matrices. Moreover, the existence conditions of the reduced-order controller have the same forms as the well-known three LMIs, but with fewer dimension matrix variables. In comparison with the previous results, one of the main advantages is that our approach is applicable to general H∞ control. Furthermore, the existing results do not imply our results for singular H∞ control. An illustrative example is given to show the efficiency of our approach.