Optimization-Based Synthesis of Self-Triggered Controllers for Networked Systems

In this paper, for networked systems, synthesis of self-triggered controllers is addressed. In the proposed method, the control input and the sampling time such that a given cost function is minimized are computed simultaneously. First, the optimal control problem of continuous-time linear systems is rewritten as that of systems with integral continuous-time dynamics. Next, this problem is approximately reduced to a linear programming problem. The proposed method can be applied to model predictive control. Finally, the effectiveness of the proposed method is shown by a numerical example.