Stability Analysis for Uncertain Multiple-delay System with Unknown Actuator Parameters

The main focus of this work is on the inclusion of uncertain systems for the control of spatially distributed processes utilizing unknown actuator parameters and multiple-delay. Our main contribution is to introduce a sufficient condition for stability of this class of systems under different scenarios. We construct a special type of Lyapunov functional for the controller design problem. Unlike the existing techniques, the proposed controller designed method employed some limited free weighting matrices, leading to reduced computational demand as well as improved performance. Numerical examples are given to demonstrate the effectiveness of the designed controller.