Composite Nonlinear Feedback Control Technique Research Articles

Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay

This paper proposes a combination of finite-time robust-tracking theory and composite nonlinear feedback approach for the finite-time and high performance synchronization of the chaotic systems in the presence of the external disturbances, parametric uncertainties, Lipschitz nonlinearities and time delays. The composite nonlinear feedback control technique develops an accurate and high-performance response for the following of the master chaotic system and the finite time concept provides the convergence of the error signals to zero in the finite time. Therefore, in this work, we will develop a new finite time robust tracking and model following control approach based on the composite nonlinear feedback scheme. Using the Lyapunov stability approach, we have proved that the tracking errors of the uncertain chaotic system converge to the origin in the finite time. Moreover, a sufficient criterion is derived to guarantee the robust asymptotic stability of the synchronization error dynamics. Simulation results on Chua's chaotic system are presented to prove the performance of the suggested controller compared to the other technique.

Composite nonlinear feedback control technique for master/slave synchronization of nonlinear systems

In this paper, we propose a design approach of composite nonlinear feedback control technique for the synchronization of master/slave nonlinear systems with time-varying delays, Lipschitz nonlinear functions and parametric uncertainties. Based on the Lyapunov–Krasovskii stabilization theory and linear matrix inequalities, a new sufficient condition is generated for the synchronization of chaotic systems with nonlinearities and perturbations on the master and slave systems. By using the Barbalat’s lemma, the proposed control method guarantees that the states of the master and slave systems are synchronized with an asymptotic convergence rate. Simulation results are demonstrated on two forms of Chua’s chaotic system, which illustrate that the suggested design technique yields satisfactory transient performance.

On improving transient performance in tracking control for switched systems with input saturation via composite nonlinear feedback

SummaryThis paper is concerned with transient performance in tracking problem for switched linear systems with input saturation. A design procedure for constructing the composite nonlinear feedback (CNF) control law is developed. Under the average dwell time scheme, the controlled output of the closed‐loop switched system tracks asymptotically a step reference by CNF control technique without exceeding the saturation limit. At the same time, the desired transient performance with quick response and small overshoot can be achieved. In addition, the proposed method is applied to the control of turntable servo system. The example of turntable demonstrates the feasibility and effectiveness of the results proposed. Copyright © 2015 John Wiley & Sons, Ltd.

Semi-global output regulation for linear systems with input saturation by composite nonlinear feedback control

To improve transient performance of output response, this paper applies composite nonlinear feedback (CNF) control technique to investigate semi-global output regulation problems for linear systems with input saturation. Based on a linear state feedback control law for a semi-global output regulation problem, a state feedback CNF control law is constructed by adding a nonlinear feedback part. The extra nonlinear feedback part can be applied to improve the transient performance of the closed-loop system. Moreover, an observer is designed to construct an output feedback CNF control law that also solves the semi-global output regulation problem. The sufficient solvability condition of the semi-global output regulation problem by CNF control is the same as that by linear control, but the CNF control technique can improve the transient performance. The effectiveness of the proposed method is illustrated by a disturbance rejection problem of a translational oscillator with rotational actuator system.

Improving Transient Performance in Tracking General References Using Composite Nonlinear Feedback Control and Its Application to High-Speed $XY$-Table Positioning Mechanism

We adopt in this paper the newly developed composite nonlinear feedback (CNF) control method to track general target references for systems with input saturation. The original formulation of the CNF control technique is only applicable to set-point tracking, in which the target reference is set to be a constant. In this paper, a reference generator, which is able to produce more general reference signals such as sinusoidal and other waves, will be proposed to supplement the CNF control technique to yield a good performance. The resulting control law comprises the reference generator and a modified CNF control law, which is proven to be capable of tracking a target reference with fast settling time and minimal overshoot. Simulation and experimental results on an XY-table show that the proposed technique gives a very satisfactory performance

COMPOSITE NONLINEAR FEEDBACK CONTROL: THEORY AND AN APPLICATION

The composite nonlinear feedback control technique is developed for a class of linear systems with actuator saturation, which consists of a linear and a nonlinear feedback parts without any switching element. The linear part is to yield a quick response in face of the actuator limits for the desired input levels. The nonlinear part is to reduce the overshoot caused by the linear part as the system output approaches the target. It is shown that the technique is capable of beating the time-optimal control in asymptotic tracking situations and can be applied to design servo systems that deal with “point-and-shoot” fast targeting. Copyright ©2002 IFA C