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Robust input-output energy decoupling for uncertain singular systems

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Abstract

This paper addresses the robust input-output energy decoupling problem for uncertain singular systems in which all parameter matrices except E exist as time-varying uncertainties. By means of linear matrix inequalities (LMIs), sufficient conditions are derived for the existence of linear state feedback and input transformation control laws, such that the resulting closed-loop uncertain singular system is generalized quadratically stable and the energy of every input controls mainly the energy of a corresponding output, and influences the energy of other outputs as weakly as possible.

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Authors and Affiliations

  1. Institute of System Science, Northeastern University, Shenyang, Liaoning, 110004, PRC

    Xin-Zhuang Dong & Qing-Ling Zhang

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  1. Xin-Zhuang Dong
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  2. Qing-Ling Zhang
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Correspondence to Xin-Zhuang Dong.

Additional information

Xin-Zhuang Dong graduated from the Institute of Information Engineering of People’s Liberation Army, China, in 1994. She received the M. S. degree from the Institute of Electronic Technology of People’s Liberation Army, in 1998 and the Ph.D. degree from Northeastern University, China, in 2004. She is currently a post-doctoral fellow at the Key Laboratory of Systems and Control, CAS.

Her research interests include singular and nonlinear systems, especially the control of singular systems such as H ∞ control, passive control and dissipative control.

Qing-Ling Zhang received the Ph.D. degree from Northeastern University, China, in 1995. He is currently a professor with the Institute of Systems Science, Northeastern University. His research interests include singular systems, fuzzy systems, decentralized control, and H 2/H ∞ control.

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Dong, XZ., Zhang, QL. Robust input-output energy decoupling for uncertain singular systems. Int J Automat Comput 2, 37–42 (2005). https://doi.org/10.1007/s11633-005-0037-x

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  • DOI: https://doi.org/10.1007/s11633-005-0037-x

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