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Observer-based robust H-infinity control for uncertain switched systems

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Abstract

The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None of the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results.

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Authors and Affiliations

  1. Key Laboratory of Process Industry Automation Ministry of Education China, Northeastern University, Shenyang, Liaoning, 110004, China

    Zhengyi Song

  2. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Zhengyi Song & Jun Zhao

Authors
  1. Zhengyi Song
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  2. Jun Zhao
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Additional information

This work was supported by the National Natural Science Foundation of China (No. 60274009, 60574013).

Zhengyi SONG received the B.S. and M.S. degrees in mathematics in 1989 and 1996, respectively, both from Northeast Normal University, China. Currently, he is a Ph.D. candidate in Control Theory and Applications at Northeastern University. His research interests are switched systems and robust control.

Jun ZHAO received the B.S. and M.S. degrees in mathematics in 1982 and 1984, respectively, both from Liaoning University, China. He received his Ph.D. in Control Theory and Applications in 1991 at Northeastern University, China. From 1992 to 1993, he was a postdoctoral fellow at the same university. Since 1994 he has been with School of Information Science and Engineering, Northeastern University, China, where he is currently a professor. From February 1998 to February 1999, he was a visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign. His main research interests include hybrid systems, nonlinear systems, geometric control theory, and robust control.

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Song, Z., Zhao, J. Observer-based robust H-infinity control for uncertain switched systems. J. Control Theory Appl. 5, 278–284 (2007). https://doi.org/10.1007/s11768-006-6053-8

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  • DOI: https://doi.org/10.1007/s11768-006-6053-8

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