Finite-time Output Feedback Stabilization Research Articles

Finite-Time Output Feedback Stabilization for High-Order Stochastic Nonlinear Systems With Unknown Output Function

Finite-Time Output Feedback Stabilization for High-Order Stochastic Nonlinear Systems With Unknown Output Function

Global Finite-Time Stabilization for Uncertain Systems With Unknown Measurement Sensitivity.

This article focuses on global finite-time output feedback stabilization for uncertain nonlinear systems with unknown measurement sensitivity. The existence of the continuous measurement error resulting from limited accuracy of sensors invalidates the existing design strategies depending on the use of the precise output in the construction of an observer, which highlights the contribution of this article. Essentially, different from related works, we propose a new finite-time convergent observer by avoiding the use of the information on nonlinearities. By combining the homogeneous domination with the addition of a power integrator method, an output feedback controller composed of multiple nested sign functions is successfully developed. Finally, the effectiveness of the presented scheme is exhibited by a numerical example.

Finite-Time Output Feedback Stabilization for a Class of Output-Constrained Planar Switched Systems

This note investigates a unified finite-time output feedback control strategy for a class of planar switched systems with an asymmetric output constraint. A fraction-type asymmetric barrier Lyapunov function (BLF) is constructed firstly. Based on relaxed assumptions on system nonlinearities together with the developed BLF, a set of finite-time state feedback controllers are designed systematically by revamping the technique of adding a power integrator. By incorporating the state controllers with switched reduced-order observers developed delicately, the task of finite-time stabilization for planar switched systems can be realized by the resultant output feedback controllers in consideration of asymmetric output constraints imposed on switched systems simultaneously. The proposed method enjoys the unification property such that it is workable for the scenarios of constrained and unconstrained cases, without the need of changing/redesigning the structures of controllers and observers. Finally, simulation results are presented to verify the proposed scheme.

Global Finite-Time Output-Feedback Stabilization of Nonlinear Systems Under Relaxed Conditions

This article presents a first constructive solution to the global finite-time output feedback stabilization of a large class of lower triangular nonlinear systems under relaxed conditions. The key idea is to introduce a switching strategy in the control design scheme. Unlike the previous literature, the nonlinearities of the systems are assumed to satisfy a general Hölder continuous condition, which include Lipschitz continuous nonlinearities as a special case. Global finite-time stability of the closed-loop observer-controller systems is proved by means of innovative Lyapunov-based analytical techniques. A benchmark practical example of controlling the single-link robotic manipulator coupled to a dc motor is adopted to illustrate the proposed method.

Finite-time output feedback stabilization of planar switched systems with/without an output constraint

An output feedback control strategy is presented in this paper to make planar switched systems with or without an output constraint finite-time stable. By incorporating a common constructed tangent-type barrier Lyapunov function, the so-called adding a power integrator technique is revamped to design state feedback controllers systematically. Then, reduced-order switched observers are constructed deliberately so that the finite-time output feedback stabilization of planar switched systems can be realized with the output constraint guaranteed. The method proposed in this paper is in a unified form in the sense that, with no need of changing controllers and observers structures, it works for planar switched systems with or without an output constraint.

Finite-time output feedback stabilization of high-order uncertain nonlinear systems

ABSTRACTThis paper studies the problem of finite-time output feedback stabilization for a class of high-order nonlinear systems with the unknown output function and control coefficients. Under the weaker assumption that output function is only continuous, by using homogeneous domination method together with adding a power integrator method, introducing a new analysis method, the maximal open sector Ω of output function is given. As long as output function belongs to any closed sector included in Ω, an output feedback controller can be developed to guarantee global finite-time stability of the closed-loop system.

Finite-time output feedback stabilization of nonlinear high-order feedforward systems

Summary This paper considers the global finite-time output feedback stabilization of a class of nonlinear high-order feedforward systems. By using the homogeneous domination method together with adding a power integrator method and overcoming several troublesome obstacles in the design and analysis, a global finite-time output feedback controller with reduced-order observer is recursively designed to globally finite-time stabilize nonlinear high-order feedforward systems. Copyright © 2015 John Wiley & Sons, Ltd.

Robust finite-time output feedback control of perturbed double integrator

This paper addresses the problem of finite-time output feedback stabilization for the perturbed double integrator system. A simple output feedback proportional–derivative (PD) controller is proposed. Global finite-time stability is proven based on Lyapunov stability theory and geometric homogeneity technique. Furthermore, it is proven that the proposed controller can maintain local finite-time stability regardless of some nonlinear perturbations. Thus, the proposed controller actually can be applied to a large class of uncertain second-order nonlinear systems. Simulations demonstrate the effectiveness of the proposed approach.

Robust Finite-Time Output Feedback $$ H_\infty $$ H ∞ Control for Stochastic Jump Systems with Incomplete Transition Rates

This article aims to investigate the problem of robust finite-time output feedback $$ H_\infty $$H? control for stochastic jump systems with incomplete transition rates. Firstly, for the nominal stochastic jump systems, the sufficient conditions for the finite-time boundedness and finite-time output feedback stabilization are developed, respectively. Then, a robust finite-time $$ H_\infty $$H? output feedback controller is designed by means of linear matrix inequalities. A key point of this work is to relax the special requirement of completely known transition rates to more general form that mixes two cases of completely known and completely unknown transition rates. Finally, a numerical example is given to demonstrate the applicability of the main results.

Finite-Time Output Feedback Stabilization for Stochastic High-Order Nonlinear Systems

This paper investigates the problem of global finite-time output feedback stabilization in probability for a class of stochastic high-order nonlinear systems. The drift and diffusion terms satisfy the homogeneous growth conditions. Based on the stochastic Lyapunov theorem and the adding one power integrator technique, a homogeneous observer and controller are constructed for the nominal system. Then, a scaling gain is introduced into the homogenous observer and controller to render the closed-loop system to be globally finite-time stable in probability. Two examples are given to illustrate the effectiveness of the proposed design scheme.

Semi-global finite-time output feedback stabilization for a class of large-scale uncertain nonlinear systems

This paper addresses the problem of semi-global finite-time decentralized output feedback control for large-scale systems with both higher-order and lower-order terms. A new design scheme is developed by coupling the finite-time output feedback stabilization method with the homogeneous domination approach. Specifically, we first design a homogeneous observer and an output feedback control law for each nominal subsystem without the nonlinearities. Then, based on the homogeneous domination approach, we relax the linear growth condition to a polynomial one and construct decentralized controllers to render the nonlinear system semi-globally finite-time stable.

Global Finite-Time Output Feedback Stabilization for a Class of Uncertain Nonholonomic Systems

This paper investigates the problem of global finite-time stabilization by output feedback for a class of nonholonomic systems in chained form with uncertainties. By using backstepping recursive technique and the homogeneous domination approach, a constructive design procedure for output feedback control is given. Together with a novel switching control strategy, the designed controller renders that the states of closed-loop system are regulated to zero in a finite time. A simulation example is provided to illustrate the effectiveness of the proposed approach.

On an output‐feedback stabilization problem with uncertainty in the relative degree

AbstractThis paper deals with an output‐feedback finite‐time control problem for a class of nonlinear uncertain systems whose relative degree is affected by an uncertain system parameter and is therefore unknown at the stage of control design. We show that an existing second‐order sliding mode control algorithm can address successfully the control task of a finite‐time output‐feedback stabilization when the uncertain relative degree is equal to 1 or 2. We derive constructive tuning rules for the control parameters and show its effectiveness by using computer simulations. Copyright © 2007 John Wiley & Sons, Ltd.