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On the strong stabilization problem and performance of stable ℋ controllers

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2 Author(s)
Zeren, M. ; Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA ; Ozbay, H.

A strong stabilization problem is considered for MIMO finite dimensional linear time invariant systems. It is shown that if an algebraic Riccati equation (ARE) has a positive semi-definite solution, then a strongly stabilizing controller can be constructed using state space techniques. This controller is of the same order as the plant. Moreover, under this sufficient condition, a finite dimensional characterization of a fairly large set of strongly stabilizing controllers is obtained. Using a similar ARE, the authors (1996) constructed a stable suboptimal ℋ controller of order 2n, where n is the order of the generalized plant. The ℋ performance level attained by this controller is studied here. An alternative stable ℋ controller design method is also discussed

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:5 )

Date of Conference:

10-12 Dec 1997