H_2 controller design for eliminating the effect of input quantization

摘要

This paper tackles the problem of H_2 control for output-feedback linear systems with uniform input quantization. The basic idea is to increase each quantized input component by a quantizing level of -1, 0, or +1 so as to eliminate the effect of input quantization on the decreasing property of the Lyapunov function associated with the LQ cost, which results in successfully achieving H_2 performance. The resulting controller does not require any additional devices such as adjustable multipliers, or any tuning parameters that are closely related to the performance of the system. control, input quantization, linear matrix inequalities.