Asymptotic Stabilization of Continuous-Time Linear Systems with Input and State Quantizations

Abstract EN

This paper discusses the asymptotic stabilization problem of linear systems with input and state quantizations.

In order to achieve asymptotic stabilization of such systems, we propose a state-feedback controller comprising two control parts: the main part is used to determine the fundamental characteristics of the system associated with the cost, and the additional part is employed to eliminate the effects of input and state quanizations.

In particular, in order to implement the additional part, we introduce a quantizer with a region-decision making process (RDMP) for a certain linear switching surface.

The simulation results show the effectiveness of the proposed controller.