Quantized State Feedback Stabilization Of Control Systems

In this paper, the quantized state feedback stabilization of linear and nonlinear systems with saturated quantizer is addressed. A quantized method of a state prediction and compensation is presented. Quantization error can be adequately measured by adjusting "zoom" parameter and it is analyzed by the method of trajectory analysis. Finally, a sufficient condition for a globally exponential stabilization under some certain conditions is obtained. A simulation example is presented to illustrate the results.The main works of this paper can be classified in the following two aspects:First, when the controlled system is linear, the replicated system is studied by the method of trajectory analysis. As the result, the sufficient condition for a globally exponential stabilization of the controlled system is obtained.Second, when the controlled system is nonlinear and satisfies a Lipschitz condition, using the quantized method of a state prediction and compensation, the method of trajectory analysis is extended to nonlinear systems. Finally, the sufficient condition for a globally exponential stabilization of the controlled system is also obtained...