Design of Robust Decentralized Controller for Uncertain Large- Scale Interconnected Systems with Input Delay Using Reduction Method

doi:10.7523/j.issn.2095-6134.2005.1.006

›› 2005, Vol. 22 ›› Issue (1): 38-45.DOI: 10.7523/j.issn.2095-6134.2005.1.006

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Design of Robust Decentralized Controller for Uncertain Large- Scale Interconnected Systems with Input Delay Using Reduction Method

Zhu Liang, Jiang Changsheng, Fu Xiaorong

Department of Automatic Control Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Online:2005-01-15
Supported by:
supported by the Nat ional Natural Science Foundat ion of China( 90405011)

Abstract

Abstract:

This paper deals with a class of large-scale systems with input delay and parametric uncertainties. The stability of this class of systems is considered. Using the so-called reduction method, all subsystems are transferred. Then, a feedback controller design technique for decentralized stabilizat ion is provided. Unlike existing results, the controller ut ilizes the information on the size of the delay and employs the feedback of the past control history as well as the current state; thus, performance is improved and conservativeness is reduced significantly. With Lyapunov′s direct method, a sufficient condit ion for the stability is derived in terms of linear matrix inequalities (LMIs) . Hence, all results can be solved efficient ly. Finally, a numerical example is provided to illustrate the proposed method.

Key words: large-scale systems, delay system, uncertainty, robust control, LMIs

CLC Number:

O231.1

Zhu Liang, Jiang Changsheng, Fu Xiaorong. Design of Robust Decentralized Controller for Uncertain Large- Scale Interconnected Systems with Input Delay Using Reduction Method[J]. , 2005, 22(1): 38-45.

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Design of Robust Decentralized Controller for Uncertain Large- Scale Interconnected Systems with Input Delay Using Reduction Method

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