Class Of Neutral Delay Systems Research Articles

New results on BIBO stability analysis for a class of neutral delay systems

Abstract This paper studies bounded input bounded output (BIBO) stability for a class of neutral systems with time-varying delays. Based on Lyapunov method and linear matrix inequalities, some new BIBO stability criteria are established. The numerical simulation is made to demonstrate the effectiveness of the theoretical results obtained in this paper.

Neural Adaptive Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems

This paper is concerned with the problem of sliding mode control (SMC) for a class of neutral delay systems with unknown nonlinear uncertainties that may not satisfy the norm-bounded condition. A SMC scheme based on neural-network approximation is proposed for the uncertain neutral delay system. By means of linear matrix inequality (LMI) approach, a sufficient condition is given such that the resultant closed-loop system is guaranteed to be stable, and the states asymptotically converge to zero. When the LMI is feasible, the designs of both the sliding surface and the sliding mode control law can be easily obtained via convex optimization. It is shown that the state trajectories are driven toward the specified sliding surface that depends on the current states as well as the delayed states. Finally, a simulation result is given to illustrate the effectiveness of the proposed method.

Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems

In this article, the guaranteed cost control problem for a class of neutral delay systems is investigated. A linear--quadratic cost function is considered as a performance measure for the closed-loop system. Based on the Lyapunov method, delay-dependent criteria, which are expressed in terms of matrix inequalities, are proposed to guarantee the asymptotic stability of the system. The matrix inequalities can be solved easily by various efficient optimization algorithms.

New observer-based guaranteed cost control for neutral delay systems

This paper considers the problem of guaranteed cost control for a class of neutral delay systems. Unlike the commonly used quadratic cost function involving the state, a cost function involving the delayed state is considered. This naturally leads to a memory state feedback such that the resulting closed-loop system is not only asymptotically stable but also guarantees an adequate level of performance. An observer-based output feedback guaranteed cost control problem is addressed. A sufficient condition for the existence of a guaranteed cost controller is given in terms of the feasibility condition of a linear matrix inequality. Finally, two numerical examples are used to demonstrate the effectiveness of the approach proposed.

Sliding-mode control for uncertain neutral delay systems

The problem of sliding-mode control for a class of neutral delay systems with uncertainties in both the state matrices and the input matrix is considered. By selecting a sliding surface depending on the current state and delayed state, the paper gives a sufficient condition in terms of linear matrix inequalities (LMIs) such that the closed-loop system is guaranteed to be asymptotically stable. When LMIs are feasible, the design of the sliding surface and the sliding-mode control law can be easily obtained by convex optimisation. State trajectories are attracted onto the sliding surface in a finite time and remain there for all subsequent time. A simulation illustrates the application of the method.