Class Of Uncertain Neutral Systems Research Articles

LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays

The design of a robust mixed H2/H∞ controller for a class of uncertain neutral systems with discrete, distributed, and input time-varying delays is considered. More precisely, the proposed robust mixed H2/H∞ controller minimizes an upper bound of the H2 performance measure, while guaranteeing an H∞ norm bound constraint. Based on the Lyapunov-Krasovskii functional theory, a delay-dependent criterion is derived for the existence of a desired mixed H2/H∞ controller, which can be constructed easily via feasible linear matrix inequalities (LMIs). Furthermore, a convex optimization problem satisfying some LMI constraints is formulated to obtain a suboptimal robust mixed H2/H∞ controller achieving the minimization of an upper bound of the closed-loop H2 performance measure. Finally, a numerical example is illustrated to show the usefulness of the obtained design method.

Guaranteed cost output control for uncertain neutral systems with time-varying delays via LMI

In this paper, the robust guaranteed cost output control for a class of uncertain neutral system with time-varying delays is considered. Based on Lyapunov–Krasovskii functional theory, some stabilization criteria are derived and guaranteed costs are given. Delay-dependent and delay-independent criteria are proposed for the stabilization of the system. Static output linear feedback control is considered to stabilize the uncertain neutral system. Linear matrix inequality (LMI) approach and parametrizing transformation approach are used to solve the stabilization problems. A procedure for the controller design is provided. Optimal guaranteed cost output control will be achieved when the optimization problem under LMI conditions can be solved. Finally, two numerical examples are illustrated to show the use of the results.

Delay‐dependent H∞ observer‐based control for uncertain neutral systems via LMI optimization approach

In this paper, the delay‐dependent H∞ observer‐based control for a class of uncertain neutral systems with time‐varying delays is considered. The linear matrix inequality (LMI) optimization approach is used to design the H∞ robust control with disturbance attenuation. The control and observer gains are given from the LMI feasible solutions. Some numerical examples are given to illustrate the use of the main result.

Robust output observer-based control of neutral uncertain systems with discrete and distributed time delays: LMI optimization approach

In this paper, the robust control problem of output dynamic observer-based control for a class of uncertain neutral systems with discrete and distributed time delays is considered. Linear matrix inequality (LMI) optimization approach is used to design the new output dynamic observer-based controls. Three classes of observer-based controls are proposed and the maximal perturbed bound is given. Based on the results of this paper, the constraint of matrix equality is not necessary for designing the observer-based controls. Finally, a numerical example is given to illustrate the usefulness of the proposed method.

Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach

Abstract The H ∞ robust control problem for a class of uncertain neutral system with both state and input delays is considered. By choosing a Lyapunov–Krasovskii functional, some delay-dependent criteria are proposed to guarantee stabilization and disturbance attenuation of the systems. Linear matrix inequality (LMI) optimization approach is used to solve the H ∞ control disturbance attenuation problem. Significant improvement for the delay-dependent results has been reached. Computer software Matlab can be applied to obtain all the proposed results. Finally, some numerical examples are given to illustrate the improvement archived in this paper.

Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach

This paper investigates the robust guaranteed cost control for a class of uncertain neutral system with time-varying delays. Based on Lyapunov–Krasovskii functional theory, some stabilization criteria are derived and guaranteed costs are given. Delay-dependent and delay-independent criteria are proposed for the stabilization of our considered systems. State feedback control is considered to stabilize the uncertain neutral system and upper bounds on the closed-loop cost function are given. Linear matrix inequality (LMI) approach and genetic algorithm (GA) are used to solve the stabilization problems. The optimal guaranteed cost control which will minimize the guaranteed cost for the system is provided. A procedure for the controller design is provided. Finally, two numerical examples are illustrated to show the use of our obtained results.

New Delay-Dependent Criterion on Robust Stability of Neutral Systems with Nonlinear Uncertainties

In the paper, an asymptotic stability condition for a class of uncertain neutral systems with time-varying delays is considered. The parameter uncertainties under consideration are time-varying but norm-bounded. A new LMI-based delay-dependent criterion is proposed to guarantee the asymptotic stability of systems. Based on the results of this paper, no model transformation is used. Significant improvement for the obtained delay-dependent result has been demonstrated by numerical examples.

Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input

Abstract This article considers non-fragile guaranteed cost control problem for a class of uncertain neutral system with time-varying delays in both state and control input. Delay-dependent criteria are proposed to guarantee the robust stabilization of systems. Linear matrix inequality (LMI) optimization approach is used to solve the non-fragile guaranteed cost control problem. Non-fragile guaranteed cost control for unperturbed neutral system is considered in the first step. Robust non-fragile guaranteed cost control for uncertain neutral system is designed directly from the unperturbed condition. An efficient approach is proposed to design the non-fragile guaranteed cost control for uncertain neutral systems. LMI toolbox of Matlab is used to implement the proposed results. Finally, a numerical example is illustrated to show the usefulness of the proposed results.

Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach

The asymptotic stability conditions for a class of uncertain neutral system with multiple time-varying delays are considered. LMI-based delay-dependent criteria are proposed to guarantee the asymptotic stability of systems. Based on the results of this paper, the model transformation is not used in finding the delay-dependent results. Significant improvement for the delay-dependent results has been developed and proposed. Finally, some numerical examples are illustrated to show the improvement of this paper.

LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays

Robust stabilization and robust H∞ control problems for a class of uncertain neutral system with state and input delays are considered. By choosing a Lyapunov-Krasovskii functional, an alternative delay-dependent sufficient condition for the existence of a controller is derived in terms of linear matrix inequalities. Furthermore, a convex optimization problem can be formulated to obtain an H∞ controller which minimizes an upper H∞ norm bound of the closed-loop state-input delayed system.

Robust observers for neutral jumping systems with uncertain information

In this paper, the problem of designing observer for a class of uncertain neutral systems. The uncertainties are parametric and norm-bounded. Both robust observation and robust H ∞ observation methods are developed by using linear state-delayed observers. In case of robust observation, sufficient conditions are established for asymptotic stability of the system, which is independent of time delay. The results are then extended to robust H ∞ observation which renders the augmented system asymptotically stable independent of delay with a guaranteed performance measure. Furthermore, a memoryless state-estimate feedback is designed to stabilize the closed-loop neutral system. In all cases, the gain matrices are determined by linear matrix inequality approach. Two numerical examples are presented to illustrate the validity of the theoretical results.

LMI Based to Robust Genetic Control Design for a Class of Uncertain Neutral Systems With State and Input Delays

In this paper, a robust genetic control design problem for a class of uncertain neutral delay systems in state and control input is considered. The methodology is based on the constructive use of the Lyapunov functional, and a new delay-dependent stabilization criterion is proposed to guarantee robust stability for the systems via linear control. Linear matrix inequality (LMI) and genetic algorithm (GA) are used to seek the state-feedback gain without complex mathematics.

Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays

In this paper, the robust asymptotic stability and stabilization for a class of uncertain neutral system with time-varying delays are considered. Based on the Lyapunov-Krasovskii functional theory, some stability and stabilization criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability and stabilization of the considered systems. State and output feedbacks are considered to stabilize the uncertain neutral system. A linear matrix inequality approach and a genetic algorithm are used to solve the stability and stabilization problems. Finally, some numerical examples are shown to illustrate the use of the obtained results.

Robust [formula omitted] control of linear neutral systems

This paper investigates the problems of robust stability and robust H ∞ control for a class of uncertain neutral systems. The class describes linear state models with norm-bounded uncertain system parameters and unknown constant state delay. First, we develop a sufficient condition for robust stability independent of delay. Then, we provide sufficient conditions for designing a memoryless state-feedback controller which stabilizes the uncertain neutral system under consideration and guarantees an H ∞ -norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown state delay. In both problems, the results are expressed in the form of linear matrix inequalities. It has been established that several earlier results are special cases of the developed theory.