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Zbl 1030.93042
Liberzon, Daniel
Hybrid feedback stabilization of systems with quantized signals. (English)
[J] Automatica 39, No.9, 1543-1554 (2003). ISSN 0005-1098

The author generalizes previous work of himself and R. Brackett (2000). He considers more general types of quantizers with quantization regions having arbitrary shapes as in [{\it J. Lunze}, {\it B. Nixdorf}, and {\it J. Schröder}, ibid. 35, 395-406 (1999; Zbl 0942.93026)]. In addition, he addresses the quantized feedback stabilization problem for nonlinear systems. Analogous results for systems with input quantization, both linear and nonlinear are developed in this paper. He uses Lyapunov stability, hybrid systems, and input to state stability notions for the analysis.
[Seenith Sivasundaram (Daytona Beach)]

MSC 2000:: *93D15 Stabilization of systems by feedback
93B12 Variable structure systems
93D25 Input-output approaches to stability of control systems
93C10 Nonlinear control systems

Keywords: quantization; hybrid control; Lyapunov function; input-to-state stability; feedback stabilization; nonlinear systems; input quantization; hybrid systems

Citations: Zbl 0942.93026

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