An Optimal Design of Sampled-Data Systems with Communication Constraints

Abstract

This paper proposes a design method for NCSs (networked control systems), where plant and controller are linked through a serial communication network. The network has limitted capacity and control inputs and measured outputs are updated/sampled partially at each step. Assuming that the controller-plant communication is periodic, the design problem is formulated as one for sampled-data feedback systems with periodic discrete-time components. A necessary and sufficient condition for existence of discrete-time periodic controller is given in terms of LMIs, and a controller construction algorithm is derived. The proposed controller (if exists) is stabilizing and sub-optimizes the L₂-induced norm of the resultant NCS.