DocumentCode :
835083
Title :
Design of multivariable feedback systems with stable plant
Author :
Desoer, C.A. ; Chen, M.J.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
26
Issue :
2
fYear :
1981
fDate :
4/1/1981 12:00:00 AM
Firstpage :
408
Lastpage :
415
Abstract :
This paper considers, in a general algebraic framework, the design of a unity-feedback multivariable system with a stable plant. The method is based on a simple parameterization of the four closed-loop transfer functions in terms of P , the plant transfer function, and Q=H_{y_{1}u_{1}} . In particular, the I/O transfer function Q=H_{y_{2},u_{1}}=PQ . Using the framework of rational transfer functions, we show that the closed-loop system will be exponentially stable if and only if Q is exponentially stable. Furthermore, if both P and Q are strictly proper then the controller is also strictly proper. The basic result is Design Theorem 2. An algorithm is given for obtaining strictly proper controllers such that the resulting I/O map is decoupled, all its poles can be chosen by the designer, and the same holds for zeros except, of course, for the C+-zeros prescribed by the C+-zeros of the plant. A discussion is included to temper these results by the constraints imposed by noise and plant saturation.
Keywords :
Multivariable systems; Output feedback; Stability; Algorithm design and analysis; Design methodology; Feedback; Linear systems; MIMO; Performance analysis; Poles and zeros; Stability; Time domain analysis; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1981.1102594
Filename :
1102594
Link To Document :
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