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Decentralized H-infinity state feedback control for discrete-time singular large-scale systems

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Abstract

The decentralized H-infinity control problem for discrete-time singular large-scale systems is considered. Based on the bounded real lemma of discrete-time singular systems, a sufficient condition for the existence of decentralized H-infinity controller for discrete-time singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities by linear matrix inequality (LMI) approach, and the feasible solutions to the system of LMIs provide a parameterized representation of a set of decentralized H-infinity controller. The given example shows the application of the method.

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou Jiangsu, 213001, China

    Songlin Wo

  2. School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu, 210094, China

    Yun Zou & Shengyuan XU

Authors
  1. Songlin Wo
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  2. Yun Zou
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  3. Shengyuan XU
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Corresponding author

Correspondence to Songlin Wo.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60874007).

Songlin WO was born in 1964. He received the B.S. and the M.S. degrees in Mathematics from Sichuan University in 1985 and in 1990, respectively, and Ph.D. degree in Control Theory and Control Engineering from Automatic Institute of Nanjing University of Science and Technology in 2005. Currently, he is a professor of Electrical and Information Engineering institute at Jiangsu Teachers University of Technology. His research interests include singular systems, and time-delay systems.

Yun ZOU was born in 1962. He received the B.S. degree in Mathematics from Northwestern University in 1983 and the M.S. and Ph.D. degree in Control Theory and Control Engineering from Automatic Institute of Nanjing University of Science and Technology in 1987 and in 1990, respectively. Currently, he is a professor of Automatic Institute at Nanjing University of Science and Technology. His research interests include differential-algebraic equation system, two dimensional systems, etc.

Shengyuan XU was born in 1968. He received the B.S. degree from Hangzhou Normal University, the M.S. degree from Qufu Normal University and Ph.D. degree from Automatic Institute of Nanjing University of Science and Technology, in 1990, 1996 and 1999, respectively. Currently, he is a professor of Automatic Institute at Nanjing University of Science and Technology. His research interests include robust filtering and control, singular systems, time-delay systems, multidimensional systems, and nonlinear systems.

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Wo, S., Zou, Y. & XU, S. Decentralized H-infinity state feedback control for discrete-time singular large-scale systems. J. Control Theory Appl. 8, 200–204 (2010). https://doi.org/10.1007/s11768-010-8060-z

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  • DOI: https://doi.org/10.1007/s11768-010-8060-z

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