Controller Design for Descriptor-type Systems with Distributed Timedelay Using Extension

Author:

Iftar Altug1

Affiliation:

1. Department of Electrical and Electronics Engineering, Eskisehir Technical University, 26555 Eskisehir, Turkey

Abstract

Controller design using extension is considered for descriptor-type systems with distributed time-delay. The approach is useful in decentralized controller design using overlapping decompositions. In this approach, a given largescale system is decomposed overlappingly into a number of subsystems and expanded such that the overlapping parts appear as disjoint. Since the subsystems appear as disjoint for the expanded system, it is easier to design a descentralized controller for the expanded system. This controller is then contracted for implementation on the original system. In the present paper, it is shown how to contract such a controller to guarantee stability and desired performance for the original system

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Electrical and Electronic Engineering

Reference30 articles.

1. D. D. Siljak, ˇ Large–Scale Dynamic Systems: Stability and Structure. New York: North–Holland, 1978.

2. ——, Decentralized Control of Complex Systems. San Diego: Academic Press, Inc., 1991.

3. M. Ikeda and D. D. Siljak, “Overlapping decompositions, expansions, ˇ and contractions of dynamic systems,” Large Scale Systems, vol. 1, pp. 29–38, 1980.

4. M. Ikeda, D. D. Siljak, and D. E. White, “Decentralized control with ˇ overlapping information sets,” Journal of Optimization Theory and Applications, vol. 34, pp. 279–310, 1981.

5. A. ˙Iftar and F. Khorrami, “A comparison of multiple time–scale analysis and overlapping decomposition,” IEEE Transactions on Systems, Man, and Cybernetics, vol. SMC–19, pp. 1296–1300, 1989.

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