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A novel adaptive controller based on sliding mode control with Fourier series approximation approach is presented. To eliminate the impact of time variant characteristics of dead zone, a control law is proposed with an undetermined uncertainty item and an undetermined compensation item through sliding control method, which are then approximated with Fourier series. Lyapunov method is used to guarantee...
For linear time-invariant normal controlled plant, under the assumption that controller and actuator adopt the method of event-time driven the system is a variable-sampling networked control system, and network-induced delay time is uncertain, it is less than or equals to a variable-sampling period. Basing on the dynamic output feedback the variable-sampling networked control system is modeled. Making...
The adaptive fuzzy control problem is considered for a class of uncertain SISO nonlinear time-varying delay systems in a Brunovsky form. The upper bound of the unknown time-varying delay term is assumed to be in the form of nonlinear functions with unknown coefficients. An adaptive fuzzy controller is designed by utilizing the integral-type Lyapunov function and constructing a continuous function...
This paper provided a new sufficient condition for the global asymptotic stability of cellular neural networks (CNNs) with time delays. An asymptotic stability of CNNs with time delays was considered by constructing a new suitable Lyapunov functional and some matrix inequality technique. A novel delay-independent stability criterion which considered the excitatory and inhibitory connection was given...
The parametric non-strict-feedback and unmatched uncertainty of surface ship straight-line tracking control was considered. With the help of Lyapunov stability theory, considering the characteristics of the rudder system, a novel adaptive stepping algorithm is proposed, which could guarantee the closed-loop system to be uniformly ultimately bounded. The result of simulations present the validity and...
An adaptive steady predictive functional control algorithm using the orthogonal Kautz function base has been designed in this paper. Performance of the closed-loop system is discussed, and the stability condition is given based on Lyapunov stability theory. A new improved parameter compensating algorithm depended on genetic algorithm is introduced. The simulations verified the given strategy.
This paper considers the problem of delay-dependent robust Hinfin control for switched systems with disturbance and time-varying structured uncertainties. Base on the Lyapunov function and Finslerpsilas lemma , we obtain the sufficient conditions which issure the switched systems are robust stabilization and has gamma robust performance under arbitrary switching laws. By Finslerpsilas lemma, some...
Based on the parameter-dependent Lyapunov function and S-procedure approach, this article presents a novel analysis approach to robust stability of single time-varying parameter, polynomial-dependent linear systems with polynomial degree L. The article gives not only a stability criterion obtained from the feasibility test in terms of a pair of linear matrix inequalities (LMIs) containing parameter...
This paper presents the H2 model reduction problem for discrete-time switched systems using average dwell-time approach. First, by constructing multiple Lyapunov functions, the exponential stability criterion of switched systems under average dwell-time taualpha is established. Then, a reduced-order model for the underlying system is constructed, which guarantees these two models are close in H2 norm...
This paper addresses the global output feedback regulation problem for robot manipulators in the presence of actuator constraints, and a very simple bounded proportional-derivative (PD) plus desired gravity compensation scheme is formulated as solution to this problem. The global asymptotic stability of the closed-loop system is proved with Lyapunovpsilas direct method. Simulations performed on a...
This paper focuses on the problem of robust fault-tolerant control for uncertain linear discrete systems with time-delay. On the basis of Lyapunov theory, it is found that a controller based on a kind of memory feed-back control law can keep the uncertainty systempsilas integrity against the actuator failures, and make use of the LMI toolbox in Matlab, we can get the parameters of the controller....
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on an integral-equality approach, the integral equality is an improved version of integral inequality and is constructed with free weighting matrices. The free terms are chosen according to the derivative of the Lyapunov-Krasovshii...
This paper deals with the design problem of robust reliable controller for nonlinear singular stochastic systems. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time-delay. Based on linear matrix inequality (LMI) techniques and stability theory of stochastic differential equations, stochastic Lyapunov...
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, LMIs are derived by taking the relationship between the Leibniz-Newton formula and free weighting matrices, The free terms are chosen according...
Piecewise systems arise in many kinds of practical control systems due to the existence of certain effects, such as dead-zone, saturation, relays and hysteresis. This paper deals with the problem of exponential stabilization for a class of piecewise continuous-time switched control systems with nonlinear uncertainties, which are equivalent to the general form of piecewise switched affine nonlinear...
Observer-based robust Hinfin control for a class of Ito-type stochastic systems with parametric uncertainties is investigated in this paper. Observer-based controllers which guarantee the closed-loop augmented system robustly stochastically asymptotically stable in the mean square with prescribed Hinfin disturbance attenuation levels gamma for all admissible parametric uncertainties, are established...
Based on convex combination technique and LMI (linear matrix inequality) method, the problem of state observers design for a class of switched interconnected large-scale nonlinear systems is studied. Interconnected terms are composed of linear part and nonlinear part. By using single Lyapunov function technique, a sufficient condition of stabilization for error systems is obtained and expressed as...
The problem of feedback stabilization for a class of switched nonlinear systems is considered using polynomial Lyapunov function, and two methods are presented based on sum of square decomposition. The first is direct method and feedback controllers can be obtained by solving feasibility problem of sum of square program. The second method is iterative method and feedback controllers can be obtained...
A B-spline neural-network-based variable structure controller (VSC) for a class of nonlinear systems with parameter uncertainties is presented. The neural networks compensator is used to compensate the uncertainties in the systems. The tracking performance and stability is guaranteed by the VSC controller. The asymptotical stability of overall systems is verified by the Lyapunov stability criterion...
This paper presents an Hinfin state feedback controller design method for discrete-time piecewise affine (PWA) systems based on a piecewise quadratic Lyapunov function, and the partition information of the PWA systems is taken into account to reduce the design conservatism. Each polytopic operating region is outer approximated by a union of ellipsoids, then the minimum problem of the Hinfin performance...
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