Stabilizing control for linear systems with low resolution sensors

This paper presents a stabilizing control for linear systems with low resolution sensors. The quantization error in low resolution sensors cannot be neglect, and then a stabilizer should take the error into account. The stabilizer may be realized as an event-based controller because measurement is performed when low resolution sensors output quantized values. The measurement output may be a constant value when the ideal output of the plant is within a quantization width. Therefore it is difficult to design a controller and estimator of the systems according to ordinary linear control system designs in the use of the measurement output. This paper proposes a simple controller designed which is based on the generalized holder concept to overcome this problem. The generalized holder consists of a dynamic holder and corrector, and this paper also presents the separation theorem about the pole assignments of both dynamic holder and corrector in our case.