Lower Order Robust Controller Design using Polynomial Stabilization Approach

D'Souza, Jeane Marina and Thirunavukkarasu, I and George, V I (2010) Lower Order Robust Controller Design using Polynomial Stabilization Approach. In: International Conference on System Dynamics and Control -ICSDC, 19th -22nd August 2010, Manipal. (Submitted)

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Abstract

The problem of stabilizing a given but arbitrary linear time invariant continuous time system with the transfer functions P(s)=N(s)/D(s) , by a first order feedback controller C=x1s+x2 / s+x3. The complete set of stabilizing controllers is determined in the controller parameter space [ x1 , x2 , x3 ] . This includes an answer to the existence question of whether P(s) is “first order stabilizable” or not. The set is shown to be computable explicitly, for fixed x3. The results to stabilize lower order plants are extended to determine the subset of controllers which also satisfy various robustness and performance specifications. The problem is solved by converting the H problem into the simultaneous stabilization of the closed loop characteristic polynomial. The stability boundary of each of these polynomials can be computed explicitly for fixed x3 by solving linear equations. The union of the resulting stability regions yields the set of all set of all x1 and x2.The entire three dimensional set is obtained by sweeping x3 over the stabilizing range. Index Terms— lower order, robust controller, stabilizing

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: lower order, robust controller, stabilizing controller, stabilizing range.
Subjects: Engineering > MIT Manipal > Instrumentation and Control
Depositing User: MIT Library
Date Deposited: 16 Jul 2011 03:54
Last Modified: 16 Jul 2011 03:54
URI: http://eprints.manipal.edu/id/eprint/661

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