Title: Controller reduction by balanced approach with guaranteed closed-loop performance

Authors: Deepak Kumar; J.P. Tiwari; S.K. Nagar

Addresses: Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221005, UP, India ' Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221005, UP, India ' Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221005, UP, India

Abstract: This paper addresses an algorithmic approach for controller reduction problem using balanced singular perturbation approximation (BSPA) technique for unweighted cases. The controller design methods generally lead to a controller of order comparable to plant and sometimes unstable controllers. For reduction of such controllers, a controller decomposition algorithm in conjunction with BSPA technique is presented. It is shown by numerical examples that reduced order controller by balanced truncation fails for some cases to stabilize the closed-loop system whereas resulting closed-loop system with reduced order controller using BSPA is guaranteed to preserve the closed-loop system stability and H_∞ performance.

Keywords: controller reduction; unstable controller decompositon; closed-loop performance; balanced singular perturbation approximation; controller design; system stability; H-infinity.

DOI: 10.1504/IJAAC.2012.048644

International Journal of Automation and Control, 2012 Vol.6 No.2, pp.105 - 119

Received: 08 Oct 2011
Accepted: 24 Nov 2011
Published online: 07 Nov 2014 *

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