Reduced-order controllers for a class of mixed H2/H∞ control problems
This paper considers reduced-order controllers for a class of mixed H2/H∞ control problem. There is a new controller degree bound for the H∞ control problem in terms of the minimal rank of the system matrix pencils of these two transfer function matrices in the unstable region. When the unstable invariant zero exists, this paper shows the following important result: If the mixed H2/H∞ problem is solvable, then there must exist reduced-order controllers with orders less than that of generalized plant. Moreover, we can also give new feasible LMI-based design methods for constructing the reduced-order controller because of the constructive proof, which only involve algorithms and convex optimizatin of LMI. The result developed in this paper are valid both for the continous- and discrete-time mixed H2/H∞ control problems.
H∞ control reduced-order controller mixed H2/H∞ control linear matrix inequality(LMI)
CHEN Ling SHEN Xiaoqi ZENG Jianping
Department of Automation Xiamen University Xiamen, Fujian Province 361005, China
国际会议
武汉
英文
413-416
2007-07-25（万方平台首次上网日期，不代表论文的发表时间）