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This paper investigates the H∞ Observer-Based Controller (H∞-OBC) for Disturbed Fractional-Order Systems with Time-Varying-Delay (D-FOS-TVD). First, the existence conditions for H∞-OBC are given. Then, based on the diffusive representation of the fractional-order derivative and the indirect Lyapunov approach proposed by [1], a new sufficient condition is obtained and presented as a convex optimization...
This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated...
This paper investigates the synthesis of sufficient conditions for finite-time stability of nonlinear quadratic systems. For this purpose, we investigate the usefulness of combining the notion of annihilator with a version of Finsler's Lemma. The design conditions obtained by means of polynomial Lyapunov function are expressed in term of linear matrix inequalities.
In this work, the stability and stabilization of fractional-order time-varying delay systems modeled in state space are considered. First, based on the indirect Lyapunov and Lyapunov-Krasovskii approaches, we provide a sufficient condition for the asymptotic stability for the fractional-order time-varying delay systems. Then, we give a sufficient condition guaranteeing the existence and the synthesis...
In this paper we investigate the problem of the design of a controller based on H∞ functional filter, in a finite time stability context for linear continuous time-invariant systems affected by norm bounded disturbances. The finite-time H∞ boundedness criterion of the closed-loop system is investigated. The order of the controller is reduced since the designed functional filter has the same order...
In this paper, the problem of robust fractional-order observer (RFO) design in time and frequency domains for disturbed fractional-order system is investigated. The main results include the formulation of robust observer design problems in time and frequency domains. In the time domain, we develop a sufficient condition for the existence of a robust observer design, and its construction is based on...
This paper presents the functional observers design for linear fractional-order time-delay systems. Conditions for the existence of the these observers are given. Asymptotic stability of these observers are obtained from the fractional-order Lyapunov function. The gains of the observer are derived by using the linear matrix inequality approach. A numerical example is presented to illustrate our approach.
In this paper, we study the asymptotic stabilization of fractional-order systems using an observer-based control law. The fractional-order systems under consideration are either linear or nonlinear and affine. A generalization of Gronwall-Bellman which is proved in the appendix is used to derive the closed-loop asymptotic stability.
This paper presents a result of stabilization of nonlinear affine fractional-order systems using generalizations of Bellman-Gronwall lemma. Two case are treated : the nonlinear and the linear state feedback stabilization.
This paper presents a design procedure for a reduced-order observer-based controller dedicated to n-joint robot manipulators. It is assumed that only the joint angular positions are measured. The joint angular velocities are estimated via an exponential reduced-order observer. Two types of control laws based on this observer are studied: point-to-point control with gravity compensation and trajectory...
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