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Hybrid feedback stabilization of systems with quantized signals. (English) Zbl 1030.93042
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 [J. Lunze, B. Nixdorf, and 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.
93D15Stabilization of systems by feedback
93B12Variable structure systems
93D25Input-output approaches to stability of control systems
93C10Nonlinear control systems