A Poly-quadratic Approach to Quantized Feedback Systems

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