Controller design of a NCS with guaranteed exponential stability- a trace minimization approach

Networked Control System (NCS) are the domain of control system in which the components, such as the sensors, controller and actuator are connected spatially over a network. A typical NCS has certain issues like network induced delay and packet dropouts that affect the performance of the system and thus modern-day researchers have focused their attention on this accruing topic that finds its application from robotics to process control. Most of them have addressed the problem mainly through methods based on Linear Matrix Inequalities, although much of them have stalled due to multiple constrains leading to BMIs. This paper introduces a method of solving dual constraints: to find the gain of the Full State Feed-back Controller (FSFC) using the cone complimentary linearization technique, along with the rate of decay of the NCS, thus assuring exponential stability of the same. The work in this paper has been done using the YALMIP toolbox and the results have been validated using MATLAB/SIMULINK, which assure the credibility of the same.