Optimal tuning of composite nonlinear feedback control in time-delay nonlinear systems

Abstract

A composite nonlinear feedback tracking control is mainly designed via the linear matrix inequality approach in the time-delay nonlinear systems. For achieving this purpose, the composite nonlinear feedback control design is firstly formulated in the nonlinear systems with time-delay. Then, a sufficient stability condition will be addressed in terms of the linear matrix inequality feasibility checking. Therefore, a stabilizing composite nonlinear feedback control policy can be obtained with solving of the linear matrix inequality. A quadratic cost function is considered as a performance index for optimal tuning of the composite nonlinear feedback control. A minimization problem subject to some linear matrix inequality constraints would be subsequently suggested to the composite nonlinear feedback control tuning. The proposed control method is numerically simulated in two time-delay dynamical systems. The effectiveness of the suggested control law will be shown in comparing with the existing control techniques.