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This paper studies L2-disturbance attenuation simultaneous control problem for a class of nonlinear descriptor systems via a state undecomposed approach. First, two nonlinear descriptor systems are combined to generate an augmented nonlinear descriptor system by using a suitable output feedback. Based on which, an L2-disturbance attenuation simultaneous controller is designed for the two systems....
An adaptive iterative learning controller (ILC) is proposed for a class of nonlinear systems with hysteresis described by Bouc-Wen model. First, the property of Bouc-Wen mode is discussed and the upper bound is derived .Then an iterative learning controller is proposed through the Lyapunov-like function. This controller can eliminate the oscillation and overshoot caused by hysteresis effectively....
Based on the Lyapunov stability theorem, a sliding mode observer is proposed in this paper for a class of single-input uncertain nonlinear systems with mismatched perturbations. Firstly the proposed observer with adaptive mechanisms embedded is presented so that the upper bounds of perturbations are not required to be known in advance, and the first state estimation error is able to reach zero within...
The exists of hysteresis nonlinearities in some physical system such as piezoelectric actuators can cause reduction of control accuracy and even instability of system. In this paper, a control strategy based on Extended State Observer (ESO) is proposed for systems with hysteresis characteristics to achieve accurate output tracking for the reference model which provides the desired performance. Firstly,...
The reduced order H∞ observer design problem for one-sided Lipschitz nonlinear continuous-time singular Markov jump systems is discussed in this paper. With the assumptions that the nonlinear term satisfies the one-sided Lipschitz condition and the quadratic inner-bounded condition, a sufficient condition is given to guarantee both the stochastic stability and a prescribed H∞ performance of the error...
This paper focuses on the problem of output tracking control for a class of generalized high-order uncertain nonlinear systems. Its serious uncertainties include unknown high-orders and unknown nonlinear functions. Design objective is to gain a new time-varying feedback scheme in order that the tracking error belongs to a prescribed small neighborhood of the origin in finite time. Design procedure...
In this paper, we consider the stability issue of economic model predictive control (EMPC) with generalized terminal constraint for constrained nonlinear systems and present a contractive constraint formulation with guaranteed recursive feasibility and stability. This formulation is one of Lyapunov-based approaches in which an auxiliary cost function chosen a priori can be used as a contractive Lyapunov...
In this paper, the mechanism of fault diagnosis and fault warning is set up for a class of single-input single-output (SISO) nonlinear systems with actuator faults, and based on the established fault diagnosis mechanism, an adaptive fuzzy active fault-tolerant control (FTC) strategy is proposed. The considered actuator faults are bias and gain faults. The fault warning is constructed according to...
In this paper, we focus on the stabilization problem for a class of second-order uncertain nonlinear systems via the sampled-data output feedback, where the systems may contain strong nonlinearities. A characteristic model is developed by virtue of some constructive modeling method, and then the golden-section adaptive control based on this characteristic model is given. Also, the closed-loop characteristic...
This paper studies the event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the case in which whether or not the system state is sampled at step k is determined by the feedback information at step k − 1. This problem is motivated by practical applications, and the proposed solution drastically differs from the existing...
In this paper, a strategy is established to design the robust controller for a class of continuous-time nonlinear systems with Lurie uncertainties.The uncertainty is decomposed into matched and unmatched components, and an augmented control is introduced for the unmatched uncertainty. An optimal control algorithm based on Hamilton-Jacobi-Bellman(HJB) equation is proposed for the design of a bounded...
Switched nonlinear systems are control systems that involve both continuous and discrete dynamics. In this paper, we consider the problem of global stabilization of switched nonlinear systems under arbitrary switchings. A nonconventional method of immersion and invariance (I&I) which does not require the Lyapunov function of the plant is extended to stabilization of general switched nonlinear...
In this paper, the state estimation problem is discussed for discrete nonlinear fractional order system with non-Gaussian Lévy noises. By disposing the non-Gaussian Lévy noises, the system state vector and measurement vector can be approximated directly, which could enable to deduce the new system noise covariance matrix and measurement noise covariance matrix, respectively. Based on the proposed...
This paper is concerned with the issue of feedback passification for switched fuzzy systems through the multiple Lyapunov functions method. Since the system state is often unavailable, we design observers and observer-based controllers for each fuzzy subsystem of such a switched fuzzy system. A switching law depending on the observer state is designed which, together with the control law can render...
A new backstepping control scheme for piezoactuator-driven stage using prescribed performance is proposed. The piezoactuator-driven stage's hysteresis behavior is described by Bouc-Wen model. A prescribed performance bound is used to tackle the tracking error's convergence rate and maximum overshoot. H-infinity robust control is used to improve the robust controllability of the piezoactuator-driven...
This paper studies the ability of ADRC for systems with unobservable and unmatched uncertainty. First the definition of observability for a class of uncertain nonlinear systems is given and an observability condition is proposed. Then the paper discusses how to transform the unobservable and unmatched uncertainty into the total disturbance, which is both observable and matched, so that the ability...
In the present work, the H∞ output tracking problem for a class of cascade switched nonlinear systems was studied under asynchronous switching. Sufficient conditions of the solvability of the asynchronous output tracking problem are developed using average dwell time method. The controllers are designed to achieve the tracking performances. At last, a simulation example was performed to validate our...
An improved analytic model predictive control method is proposed to deal with a class of bounded uncertain nonlinear systems. Firstly, invoking the standard results from the Moore-Penrose inverse of matrix, the unmatched problem which exists commonly in input and output dimensions of systems is solved. Secondly, the improved analytic model predictive control method is bounded and the control law can...
This paper studies a speed tracking and nonlinear disturbance rejection problem of PM synchronous motor. By formulating the problem as a robust output regulation problem of multivariable nonlinear system, we propose a robust output feedback control law by nonlinear internal model design. It is also worth mentioning that the control law, can not only achieve asymptotic tracking of desired speed, but...
This paper discusses the problem of adaptive stabilization for stochastic feedforward nonlinear systems with time-delay. A universal-type adaptive update law is introduced into the observer and controller to deal with unknown growth rates. With the help of the appropriate Lyapunov-Krasovskii functional and stochastic Barbalat's lemma, it can be proved that the universal-type adaptive output feedback...
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