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Vol. 119, Issue 8, August 2010, pp.174-181




Determination of the Region of Stabilizing Controller Parameters of Polytopic Polynomials


1I. Thirunavukkarasu, 1V. I. George, 1Mukund Kumar Menon, 2S. Shanmuga Priya

1Dept of ICE, MIT, Manipal-India

2Dept of Chemical Engg, MIT, Manipal- India

E-mail: it_arasu@yahoo.co.in



Received: 7 May 2010   /Accepted: 17 August 2010   /Published: 31 August 2010


Abstract: In the scenario of robust controller design for any given MIMO process system, control-designer faces real challenges in computing the optimum region of controller-parameters by following the conventional methodologies. Such methods are, in fact, much complex for analyzing and hence time consuming. In this paper, we employ the method of Kharitonov’s Theorem to determine the region for stabilizing controller-parameters (of polytypic polynomials). The main advantage of using this method is that it can be adopted or not only SISO, but also for MIMO system of any order; even if having perturbations in them. The Generalized Kharitonov Theorem given here provides a constructive solution to this problem by reducing it to the Hurwitz stability of a prescribed set of extremal line segments. The number of line segments in this test set is independent of the dimension of the parameter space. This test set has many important extremal properties that are useful in control systems.


Keywords: MIMO system, Robust stability, Non square matrix, Region of stabilizing


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