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Design of switched controllers for discrete singular bilinear systems

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Abstract

In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear singular systems. The invariant principle and the switched controllers are used to globally stabilize a class of singular bilinear systems that are not open-loop stable.

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Authors and Affiliations

  1. Institute of Systems Science, College of Sciences, Northeastern University, Shenyang, Liaoning, 110004, China

    Xiuhua Zhang & Qingling Zhang

Authors
  1. Xiuhua Zhang
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  2. Qingling Zhang
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Additional information

This work was supported by the Science Technical Foundation of Liaoning of China (No. 2001401041).

Xiuhua ZHANG was born in 1963, in Liaoning Province, China. Her research interests include singular bilinear system, differential algebraic system theory and application.

Qingling ZHANG was born in 1956, in Liaoning Province, China. Since 1997, he has been a Professor and Dean of the College of Science at Northeastern University. He is also a member of the University Teaching Advisory Committee of National Ministry of Education. His research interests include descriptor system, fuzzy control, robust control and decentralizaed control.

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Zhang, X., Zhang, Q. Design of switched controllers for discrete singular bilinear systems. J. Control Theory Appl. 5, 312–316 (2007). https://doi.org/10.1007/s11768-005-5263-9

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  • DOI: https://doi.org/10.1007/s11768-005-5263-9

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