Abstract
This paper deals with stabilization of continuous-time systems with ternary symbolic inputs. We consider to generate the control input based on PWM (pulse width modulation) whose duty ratio is given by a state feedback control law. The analysis and synthesis is done based on the discrete-time domain. Although the discretized system nonlinearly depends on duty ratio, a stabilizing state feedback gain and a corresponding invariant set can be obtained by using linear matrix inequalities. Moreover, we show that the origin can be exponentially stabilizable by using PWM-type control input for almost all the stabilizable continuous-time systems.
