Brief paper: A new approach to quantized feedback control systems

Authors:
Huijun Gao;Tongwen Chen
Affiliations:
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, PR China;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper presents a new approach to the problems of analysis and synthesis for quantized feedback control systems. Both single- and multiple-input cases are considered, with complete results provided for stability and H"~ performance analysis as well as controller synthesis for discrete-time state-feedback control systems with logarithmic quantizers. The most significant feature is the utilization of a quantization dependent Lyapunov function, leading to less conservative results, which is shown both theoretically and through numerical examples.