Optimal Control of a Class of Networked Systems Based on MLD Framework

A networked control system (NCS) is a control system in which plants, sensors, controllers, and actuators are connected through communication networks. In this paper, as one of the design problems for NCSs, we consider optimal sampled-data control of linear systems with uncertain input delay and uncertain sampling period. First, an input delay system is transformed into a discrete-time system with parameter uncertainty. Furthermore, the obtained system is expressed as a mixed logical dynamical model by using our previously proposed modeling method. Next, a given continuous-time cost function is transformed into a discrete-time cost function with parameter uncertainty, and the optimal control problem is approximately expressed as a mixed integer programming problem.