Fixed Order Multivariable Discrete-Time Control
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abstract
In this paper we develop a new algorithm to compute stabilizing sets for a fixed order digital controller for a multivariable plant. This computation is crucial in applications and few results are available. Our algorithm is based on a) the Tchebyshev representation of the unit circle image of a polynomial, b) recent results on sign-definite decomposition and c) bounded phase results from Robust Stability. These are combined to capture the unit circle image set of a polynomial over an interval set of controllers. The algorithm can be used recursively to obtain inner approximations of stabilizing sets. Examples are included to illustrate the algorithm. 2009 IEEE.
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Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference