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In this work we consider stability of singularly perturbed nonlinear systems affected by time-delays. In particular, we consider the case when trajectories of the boundary layer system of such a system converge to a compact set. By combining the averaging method and the Lyapunov-Razumikhin approach, we obtained sufficient conditions for semi-global and practical stability based on conditions of the...
In this paper, a novel approach is presented to approximate the general fractional order nonlinear dynamic systems. Firstly, a generalized T-S fuzzy method is used to approximate the original models. Then a new method to approximate the fractional order T-S models is utilized, and obtain a series of integer order linear model. It is revealed for the first time that a general fractional order nonlinear...
The robust sliding mode controller of a nonlinear system with uncertainty and external disturbance is addressed based on the back-stepping method. The method is applied to a quadrotor helicopter attitude control system and the effectiveness of the proposed method is supported by the simulation result.
A robust incipient faults diagnosis proposal for a class of nonlinear system with unknown input disturbances is presented in this paper. First, the uncertain nonlinear system is transformed into two subsystems and one of them is free from disturbances. Then for the subsystem free from disturbances, an adaptive observer is constructed to reconstruct incipient faults and a sliding mode observer is constructed...
A nonlinear system model for a class of hydraulic device was constructed.On the basis of the conversion of its model,an exponent approaching law with variable parameter was adopted to realize the sliding mode control. A position tracking with high precision was realized,and it had a better disturbance-resistant ability . A boundary layer technique was used to reduce the chattering in sliding mode...
In order to deal with mobile target tracking which contain non-linear and non-Gaussian problem, this paper presents a particle filter positioning and tracking algorithm based on dynamic model. This method can apply to any state-space model which is nonlinear system, and the accuracy can approach to best of all. The simulation showed that particle filter method can be used effectively to inhibit non-line-of-sight...
In this paper, an on-line identification algorithm is proposed for nonlinear systems identification via dynamic neural networks with different time-scales including both fast and slow phenomenon. The main contribution of the paper is that the Lyapunov function and singularly perturbed techniques are used to develop the on-line update laws for both dynamic neural networks weights and the linear part...
This paper presents a direct adaptive fuzzy control scheme for a class of uncertain single-input single-output nonlinear systems subject to input amplitude and rate saturation constraints. The fuzzy controller is designed to mimic an ideal controller which is assumed guarantying the control objective. The free parameters of the fuzzy controller are adjusted by an adaptive law which prevents the presence...
This paper deals with the observer design for nonlinear time delay systems. The approach is to represent the observer error system as the feedback interconnection of a linear system and a time varying nonlinearity. The proposed result developed for designing the observer is in term of linear matrix inequalities (LMI) that guarantees the global uniform asymptotic stability of the error dynamic system...
Intelligent PID controllers, or i-PID controllers, are PID controllers where the unknown parts of the plant, which might be highly nonlinear and/or time-varying, are taken into account without any modeling procedure. Our main tool is an online numerical differentiator, which is based on easily implementable fast estimation and identification techniques. Several numerical experiments demonstrate the...
In this paper it is shown how to design nonlinear observers that achieve global exponential convergence for the error dynamics for a class of nonlinear systems, namely nonlinear systems that are homogeneous of order 0 with respect to an arbitrary integer dilation. The proposed technique is based on immersion into a higher dimensional linear system.
The main goal of this paper consists in the development of a new actuator fault-tolerant control dedicated to nonlinear systems. Based on the assumption that the nonlinear system is described by a finite number of interpolated linear time invariant models, the proposed method makes possible the faults compensation for the whole operating range through an extended interacting multiple model. Its principle...
In this paper, a dynamical robust nonlinear Hinfin filtering method is proposed for a class of Lipschitz descriptor systems in which the nonlinearities appear in both the state and measured output equations. The system is assumed to have norm-bounded uncertainties in the realization matrices as well as nonlinear uncertainties. We synthesis the Hinfin observer through semidefinite programming and strict...
This paper addresses both state and unknown input estimation problem of nonlinear systems modelled with the help of a particular class of multiple models, known as decoupled multiple model. The simultaneous estimation of the state and the unknown inputs is achieved using a proportional-integral observer that is well known by its robustness properties. The proposed observer allows the use of submodels...
This paper studies the stabilization of the ball-and beam system by using switching control and state feedback. A numerical example is shown to illustrate an error in the results of paper (M. Guoliang et al., 2004). The reason causing such error is analyzed and the corresponding corrections are provided. The step of designing switching control strategy is presented.
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