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Control of switched systems with actuator saturation

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Abstract

This paper is concerned with controller synthesis for linear switched systems with actuator saturation. Based on common Lyapunov function technique and multiple-Lyapunov function technique, two methods for designing state feedback controller are proposed respectively in terms of linear matrix inequalities for the switched systems with saturation. An approach on enlarging the attractive domain is then investigated. The application of the presented approach is illustrated finally by a numerical example.

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This work was supported by the National Natural Science Foundation of China(No. 60474034).

Yang SONG was born in Huainan, Anhui, in 1976. He received the B.E. degree from Dept. Automation of Nanjing University of Science & Technology (NUST) in 1998. His interests are switched systems, hybrid systems.

Zhengrong XIANG received his Ph. D. degree in Control Engineering from NUST in 1998. He is an associate professor in Automation Department in NUST. His interests include nonlinear system and robust control.

Qingwei CHEN received his M. E. and Ph. D. degrees from NUST in 1988 and 2004. He is now a professor in Automation Department in NUST. He is active in intelligent control and nonlinear control, AC servo systems.

Weili HU received B. E. and M. E. degrees from Tsinghua University and NUST, in 1965 and 1981. He is a professor in Automation Department in NUST. His interests focus on servo systems, networked control systems.

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Song, Y., Xiang, Z., Chen, Q. et al. Control of switched systems with actuator saturation. J. Control Theory Appl. 4, 38–43 (2006). https://doi.org/10.1007/s11768-006-5265-2

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  • DOI: https://doi.org/10.1007/s11768-006-5265-2

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