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This paper designs a time-varying nonlinear switching manifold in an optimal fashion for a class of nonlinear systems by developing the successive approximation approach of differential equation into infinite-time horizon. Based on the reaching law approach, we obtain a reach the nonlinear sliding surface. The stability of the nonlinear sliding mode is analyzed. The convergence velocity of every state...
The behavior of nonlinearity and time-varying cause the pneumatic actuator systems are difficult to be controlled. This paper proposes a Fourier series-based adaptive sliding-mode controller for nonlinear pneumatic servo systems. The Fourier series-based functional approximation technique can approximate an unknown function, thus bypassing the model-based prerequisite. The learning laws for the coefficients...
In a companion paper submitted to VSS 2010, we have addressed the design of sliding mode tracking control for single-input-single-output (SISO) uncertain nonlinear plants with unknown sign of the high frequency gain, that is, with unknown control direction. We have demonstrated that it is possible to achieve global exact tracking using only output-feedback by combining a periodic switching function...
In this paper, a coordinated decentralized state-feedback model reference adaptive control with a sliding mode is developed for a class of large-scale systems with time-varying delays in the nonlinear interconnections. The design procedure is based on the concept of reference model coordination. A novel decentralized controller parametrization that is robust to unknown information exchange delays...
Given a switched linear system, we give a reduced form of its equations by means of a feedback and a change of variables. For bimodal piecewise linear systems, this reduced form leads to a canonical form in the sense that it gives a complete set of invariants. A characterization of controllability is given in terms of these invariants.
This paper deals with time problem of time-varying parameters estimation of stochastic systems under colored noise perturbations. A two step method is proposed. First, it is designed a tracking process, based in the “equivalent control” technique, providing the finite-time equivalence of the original stochastic process with unknown parameters to an auxiliary one. This equivalence does not cancel the...
In this paper, adaptive variable structure control is proposed for a class of time-varying delay nonlinear systems with unknown constant control gain. The unknown function and the upper bound of the unknown time delay term are assumed to be in the form of nonlinear functions with unknown coefficients. The uncertain time delay terms are compensated for using appropriate Lyapunov-Krasovskii functional...
This paper proposes an adaptive fast terminal sliding mode control for a class of multiple input nonlinear systems with time-varying mismatched uncertainties via LMI approach. First, a novel fast terminal sliding surface design method for a class of nonlinear systems is proposed based on Lyapunov method. The sufficient conditions are provided for the uncertain system on the sliding surface, such that...
In this article, we propose the use of a Sigma - Delta modulation approach combined with an appropriate dualization of generalized proportional integral (GPI) control strategies for the design of observers undergoing switched output injections, as in remote state estimation cases. The class of switched injection sliding observers inherit their robustness with respect to un-modeled perturbation inputs...
The paper presents a new discrete time sliding mode flow control algorithm for connection-oriented communication networks. The networks are modeled as discrete time systems with the available bandwidth acting as disturbance. The algorithm employs a time-varying sliding plane, which helps reduce the initial flow rate magnitude. The plane parameters are determined so that the closed-loop system stability...
In this paper, we propose an adaptive fuzzy sliding mode control scheme (AFSCS) for continuous-time multiple-input-multiple-output (MIMO) linear time-varying uncertain systems. The AFSCS consists of a fuzzy controller with adaptive mechanism to reconstruct the system states using the tracking error and to make the state error reach the equilibrium point in finite time period quickly. The sliding surface...
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