An improved control technique for designing of composite non‐linear feedback control in constrained time‐delay systems

Abstract In this research, a novel delay‐dependent composite non‐linear feedback (CNF) control would be pointed for non‐linear time‐delay systems under actuator saturation. For this aim, first, the CNF controller would be formulated in the constrained time‐delay systems. Then, a linear matrix inequality (LMI) approach is presented to obtain the controller parameters. Hence, the control synthesis of the constrained non‐linear time‐delay systems is transformed into an optimisation problem subjected to some LMIs. The suggested controller is simulated in some numerical examples like a chemical reactor with separator and recycle. The computed quantitative results will demonstrate the capability of the proposed CNF control approach compared to other best methods

Stabilization of a Class of Stochastic Nonlinear Systems

This paper addresses two control schemes for stochastic nonlinear systems. Firstly, an adaptive controller is designed for a class of motion equations. Then, a robust finite-time control scheme is proposed to stabilize a class of nonlinear stochastic systems. The stability of the closed-loop systems is established based on stochastic Lyapunov stability theorems. Links between these two methods are given. The efficiency of the control schemes is evaluated using numerical simulations