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Coprime factors, strictly positive real functions, LMI and low-order controller design for SISO systems

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2 Author(s)
Wang, S. ; Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA ; Chow, J.H.

This paper develops a low-order controller design method requiring only the solution of a convex optimization problem. It addresses only linear continuous time-invariant single-input, single-output systems. The technique integrates several well-known results in control theory. An important step is the use of coprime factors so that based on strictly positive real functions, feedback stabilization using low-order controllers becomes a zero-placement problem which is convex. From this result, we develop algorithms to solve several optimal control problems, such as simultaneous pole-placement for several plants, H optimization, and H2 optimization. Four example systems are used to illustrate the design algorithms

Published in:

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on  (Volume:3 )

Date of Conference:

1998