Determination of the region of fixed order stabilizing controller for the dynamically varying systems

Thirunavukkarasu, I and George, V I and Menon, Mukund Kumar and Shanmugapriya, S (2010) Determination of the region of fixed order stabilizing controller for the dynamically varying systems. In: Proceedings of ICAMMM 2010, 13-15 December, Sultan Qaboos University, Oman.

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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 analysing 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 (dynamic variations in any system) 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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Stabilization region; polytopic polynomials; Kharitonov’s Theorem; R.H Stability
Subjects: Engineering > MIT Manipal > Chemical
Engineering > MIT Manipal > Instrumentation and Control
Depositing User: MIT Library
Date Deposited: 16 Apr 2015 06:24
Last Modified: 16 Apr 2015 06:24
URI: http://eprints.manipal.edu/id/eprint/142445

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