Abstract

In this paper, we study quantized and delayed state feedback control of the linear time invariant (LTI) systems by considering the logarithmic quantizer and the quantized control input. The concepts of quadratic stabilization and control Lyapunov functionals (CLFs) are extended to the LTI systems with delays and quantized signals. After generalizing the sector bounded approach into LTI systems, we propose that a LTI time-delay system via the linear state feedback and quantization is quadratic stabilization if and only if the corresponding uncertain auxiliary system is quadratic stabilization under the case of the single control input or the multiple control inputs. Two examples are provided to illustrate the effectiveness of the proposed methods.

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