標題: Optimal static output feedback simultaneous regional pole placement
作者: Wu, JL
Lee, TT
電控工程研究所
Institute of Electrical and Control Engineering
關鍵字: barrier method;constrained optimization;regional pole placement;simultaneous stabilization
公開日期: 1-Oct-2005
摘要: The problem of optimal simultaneous regional pole placement for a collection of linear time-invariant systems via a single static output feedback controller is considered. The cost function to be minimized is a weighted sum of quadratic performance indices of the systems. The constrained region for each system can be the intersection of several open half-planes and/or open disks. This problem cannot be solved by the linear matrix inequality (LMI) approach since it is a nonconvex optimization problem. Based on the barrier method, we instead solve an auxiliary minimization problem to obtain an approximate solution to the original constrained optimization problem. Moreover, solution algorithms are provided for finding the optimal solution. Furthermore, a necessary and sufficient condition for the existence of admissible solutions to the simultaneous regional pole placement problem is derived. Finally, two examples are given for illustration.
URI: http://dx.doi.org/10.1109/TSMCB.2005.846650
http://hdl.handle.net/11536/13213
ISSN: 1083-4419
DOI: 10.1109/TSMCB.2005.846650
期刊: IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
Volume: 35
Issue: 5
起始頁: 881
結束頁: 893
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