Sivaramakumar, GR and Shankar, HN and Rajgopal, K (2003) An adaptive cascade compensator for a wide class of stable minimum or nonminimum phase plants through time moment estimation. In: International Journal of General Systems, 32 (1). pp. 1-24.
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Model Reference Adaptive Control (MRAC) of a wide repertoire of stable Linear Time Invariant (LTI) systems is addressed here. Even an upper bound on the order of the finite-dimensional system is unavailable. Further, the unknown plant is permitted to have both minimum phase and nonminimum phase zeros. Model following with reference to a completely specified reference model excited by a class of piecewise continuous bounded signals is the goal. The problem is approached by taking recourse to the time moments representation of an LTI system. The treatment here is confined to Single-Input Single-Output (SISO) systems. The adaptive controller is built upon an on-line scheme for time moment estimation of a system given no more than its input and output. As a first step, a cascade compensator is devised. The primary contribution lies in developing a unified framework to eventually address with more finesse the problem of adaptive control of a large family of plants allowed to be minimum or nonminimum phase. Thus, the scheme presented in this paper is confined to lay the basis for more refined compensators-cascade, feedback and both-initially for SISO systems and progressively for Multi-Input Multi-Output (MIMO) systems. Simulations are presented.
| Item Type: | Journal Article |
|---|---|
| Publication: | International Journal of General Systems |
| Publisher: | Taylor and Francis Group |
| Additional Information: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | Adaptive Control;Minimum Or Nonminimum Phase;Unknown Plant Order;Time Moments |
| Department/Centre: | Division of Electrical Sciences > Electrical Engineering |
| Date Deposited: | 03 Aug 2011 09:43 |
| Last Modified: | 03 Aug 2011 09:43 |
| URI: | http://eprints.iisc.ac.in/id/eprint/39712 |
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