Strong stabilization of MIMO systems with restricted zeros in the unstable region
Date
2008-12Source Title
Proceedings of the IEEE Conference on Decision and Control
Publisher
IEEE
Pages
2220 - 2225
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
The strong stabilization problem (i.e., stabilization by a stable feedback controller) is considered for a class of finite dimensional linear, time-invariant, multi-input multioutput plants. It is assumed that the plant satisfies the parity interlacing property, which is a necessary condition for the existence of strongly stabilizing controllers. Furthermore, the plant class under consideration has no restrictions on the poles, on the zeros in the open left-half complex plane, on the zeros at the origin or at infinity; but only one finite positive real zero is allowed. A systematic strongly stabilizing controller design procedure is proposed that applies to any plant in the class, whereas alternative approaches may work for larger class of plants but only under certain sufficient conditions. The freedom available in the design parameters may be used for additional performance objectives although the only goal here is strong stabilization. In the special case of single-input single-output plants in the class considered, the proposed stable controllers have order one less than the order of the plant. © 2008 IEEE.
Keywords
Alternative approachesComplex planes
Design parameters
Feedback controllers
Finite dimensional
Interlacing properties
Multi input multi outputs
Performance objectives
Plant class
Positive reals
Single-input single-output plants
Stabilizing controllers
Stable controllers
Strong stabilizations
Sufficient conditions
Time invariants
Unstable regions
MIM devices
Multiplexing
Stabilization
Controllers