The Experts below are selected from a list of 26397 Experts worldwide ranked by ideXlab platform
Xuejun Xie - One of the best experts on this subject based on the ideXlab platform.
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output Feedback Stabilization of high order nonlinear systems with polynomial nonlinearity
Journal of The Franklin Institute-engineering and Applied Mathematics, 2018Co-Authors: Tiantian Guo, Kemei Zhang, Xuejun XieAbstract:Abstract In this paper, the problem of output Feedback Stabilization for high-order nonlinear systems with more general low-order and high-order nonlinearities multiplied by a polynomial-type output-dependent growth rate is studied. By constructing the novel Lyapunov function and observer, based on the homogeneous domination and adding a power integrator methods, an output Feedback controller is developed to guarantee that the equilibrium of the closed-loop system is globally uniformly asymptotically stable.
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output Feedback Stabilization of stochastic feedforward nonlinear time delay systems with unknown output function
International Journal of Robust and Nonlinear Control, 2018Co-Authors: Xuejun Xie, Mengmeng JiangAbstract:Summary This paper studies the problem of output Feedback Stabilization for a class of stochastic feedforward nonlinear systems with state and input delays and the unknown output function. For stochastic feedforward nonlinear systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and C2 Lyapunov-Krasovskii functional and using the homogeneous domination method, an output Feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.
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further results on output Feedback Stabilization for stochastic high order nonlinear systems with time varying delay
Automatica, 2012Co-Authors: Xuejun Xie, Liang LiuAbstract:This article further discusses the output Feedback Stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on nonlinearities in drift and diffusion vector fields, by using the idea of homogeneous domination approach, skillfully choosing an appropriate Lyapunov-Krasoviskii functional, and successfully solving several troublesome obstacles in the design and analysis procedure, an output Feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
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output Feedback Stabilization of stochastic high order nonlinear systems under weaker conditions
Siam Journal on Control and Optimization, 2011Co-Authors: Xuejun Xie, Siying ZhangAbstract:Under the weaker conditions on the power order and the nonlinear functions, this paper investigates the output-Feedback Stabilization problem for a class of stochastic high-order nonlinear systems. Based on the backstepping design method and homogeneous domination technique, the closed-loop system can be proved to be globally asymptotically stable in probability.
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brief paper adaptive state Feedback Stabilization of high order stochastic systems with nonlinear parameterization
Automatica, 2009Co-Authors: Xuejun Xie, Jie TianAbstract:This paper investigates the adaptive state-Feedback Stabilization of high-order stochastic systems with nonlinear parameterization. By using the parameter separation lemma in [Lin, W., & Qian, C. (2002a). Adaptive control of nonlinearly parameterized systems: A nonsmooth Feedback framework. IEEE Transactions on Automatic Control, 47, 757-774.] and some flexible algebraic techniques, and choosing an appropriate Lyapunov function, a smooth adaptive state-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution for any initial state, the equilibrium of interest is globally stable in probability, and the state can be regulated to the origin almost surely.
Robert Shorten - One of the best experts on this subject based on the ideXlab platform.
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boundary Feedback Stabilization of a reaction diffusion equation with robin boundary conditions and state delay
Automatica, 2020Co-Authors: Hugo Lhachemi, Robert ShortenAbstract:Abstract This paper discusses the boundary Feedback Stabilization of a reaction–diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a finite-dimensional truncated model obtained via a spectral decomposition. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the design performed on the finite-dimensional truncated model achieves the exponential Stabilization of the original infinite-dimensional system. In the presence of distributed disturbances, we show that the closed-loop system is exponentially input-to-state stable with fading memory.
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control law realification for the Feedback Stabilization of a class of diagonal infinite dimensional systems with delay boundary control
IEEE Control Systems Letters, 2019Co-Authors: Hugo Lhachemi, Robert Shorten, Christophe PrieurAbstract:Recently, a predictor Feedback control strategy has been reported for the Feedback Stabilization of a class of infinite-dimensional Riesz-spectral boundary control systems exhibiting a finite number of unstable modes by means of a delay boundary control. Nevertheless, for real abstract boundary control systems exhibiting eigenstructures defined over the complex field, the direct application of such a control strategy requires the embedding of the control problem into a complexified state-space which yields a complex-valued control law. This letter discusses the realification of the control law, i.e., the modification of the design procedure for obtaining a real-valued control law for the original real abstract boundary control system. The obtained results are applied to the Feedback Stabilization of an unstable Euler–Bernoulli beam by means of a delay boundary control.
James S. Freudenberg - One of the best experts on this subject based on the ideXlab platform.
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Feedback Stabilization over signal to noise ratio constrained channels
IEEE Transactions on Automatic Control, 2007Co-Authors: Julio H Braslavsky, Richard H. Middleton, James S. FreudenbergAbstract:There has recently been significant interest in Feedback Stabilization problems with communication constraints including constraints on the available data rate. Signal-to-noise ratio (SNR) constraints are one way in which data-rate limits arise, and are the focus of this paper. In both continuous and discrete-time settings, we show that there are limitations on the ability to stabilize an unstable plant over a SNR constrained channel using finite-dimensional linear time invariant (LTI) Feedback. In the case of state Feedback, or output Feedback with a delay-free, minimum phase plant, these limitations in fact match precisely those that might have been inferred by considering the associated ideal Shannon capacity data rate over the same channel. In the case of LTI output Feedback, additional limitations are shown to apply if the plant is nonminimum phase. In this case, we show that for a continuous-time nonminimum phase plant, a periodic linear time varying Feedback scheme with fast sampling may be used to recover the original SNR requirement at the cost of robustness properties. The proposed framework inherently captures channel noise effects in a simple formulation suited to conventional LTI control performance and robustness analysis, and has potential to handle time delays and bandwidth constraints in a variety of control over communication links problems.
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Feedback Stabilization over signal to noise ratio constrained channels
American Control Conference, 2004Co-Authors: Julio H Braslavsky, Richard H. Middleton, James S. FreudenbergAbstract:There has recently been significant interest in Feedback Stabilization problems over communication channels, including several with bit rate limited Feedback. Motivated by considering one source of such bit rate limits, we study the problem of Stabilization over a signal-to-noise ratio (SNR) constrained channel. We discuss both continuous and discrete time cases, and show that for either state Feedback, or for output Feedback delay-free, minimum phase plants, there are limitations on the ability to stabilize an unstable plant over an SNR constrained channel. These limitations in fact match precisely those that might have been inferred by considering the associated ideal Shannon capacity bit rate over the same channel.
Baozhu Guo - One of the best experts on this subject based on the ideXlab platform.
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boundary Feedback Stabilization for an unstable time fractional reaction diffusion equation
Siam Journal on Control and Optimization, 2018Co-Authors: Huacheng Zhou, Baozhu GuoAbstract:In this paper, we consider boundary Feedback Stabilization for unstable time fractional reaction diffusion equations. New state Feedback controls with actuation on one end are designed by the backstepping method for both Dirichlet and Neumann boundary controls. By the Riesz basis approach and the fractional Lyapunov method, we prove the existence and uniqueness and the Mittag--Leffler stability for the closed-loop systems. For both cases, the observers and the observer-based output Feedback are designed to stabilize the systems.
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output Feedback Stabilization for one dimensional wave equation subject to boundary disturbance
IEEE Transactions on Automatic Control, 2015Co-Authors: Baozhu Guo, Feng-fei JinAbstract:We consider boundary output Feedback Stabilization for a one-dimensional anti-stable wave equation subject to general control matched disturbance. The active disturbance rejection control (ADRC) approach is adopted in investigation. Using the output of the system, we first design a variable structure unknown input type state observer which is shown to be exponentially convergent. The disturbance is estimated, in real time, through an extended state observer for an ODE reduced from the PDE observer. The disturbance is then canceled in the Feedback loop by its approximated value. The stability of the resulting closed-loop system is proven. Simulation results are presented to validate the theoretical conclusions and to exhibit the peaking value reduction by time varying gain instead of constant high gain.
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output Feedback Stabilization of an unstable wave equation with general corrupted boundary observation
Automatica, 2014Co-Authors: Hongyinping Feng, Baozhu GuoAbstract:We consider boundary output Feedback Stabilization for an unstable wave equation with boundary observation subject to a general disturbance. We adopt for the first time the active disturbance rejection control approach to Stabilization for a system described by the partial differential equation with corrupted output Feedback. By the approach, the disturbance is first estimated by a relatively independent estimator; it is then canceled in the Feedback loop. As a result, the control law can be designed almost as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent, and that all subsystems in the closed-loop are asymptotically stable in the energy state space. We also provide numerical simulations which demonstrate the convergence results and underline the effect of the time varying gain estimator on peaking value reduction.
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adaptive output Feedback Stabilization for one dimensional wave equation with corrupted observation by harmonic disturbance
Siam Journal on Control and Optimization, 2013Co-Authors: Wei Guo, Baozhu GuoAbstract:In this paper, we are concerned with the output Feedback Stabilization of a one-dimensional wave equation with an unstable term at one end, and the observation suffered by a general harmonic disturbance with unknown magnitudes at the other end. An adaptive observer is designed in terms of the corrupted observation. The backstepping method for infinite-dimensional systems is adopted in the design of the Feedback law. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated parameters are shown to be convergent to the unknown parameters as time goes to infinity.
Jie Tian - One of the best experts on this subject based on the ideXlab platform.
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brief paper adaptive state Feedback Stabilization of high order stochastic systems with nonlinear parameterization
Automatica, 2009Co-Authors: Xuejun Xie, Jie TianAbstract:This paper investigates the adaptive state-Feedback Stabilization of high-order stochastic systems with nonlinear parameterization. By using the parameter separation lemma in [Lin, W., & Qian, C. (2002a). Adaptive control of nonlinearly parameterized systems: A nonsmooth Feedback framework. IEEE Transactions on Automatic Control, 47, 757-774.] and some flexible algebraic techniques, and choosing an appropriate Lyapunov function, a smooth adaptive state-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution for any initial state, the equilibrium of interest is globally stable in probability, and the state can be regulated to the origin almost surely.
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state Feedback Stabilization for high order stochastic nonlinear systems with stochastic inverse dynamics
International Journal of Robust and Nonlinear Control, 2007Co-Authors: Xuejun Xie, Jie TianAbstract:For a class of high-order stochastic nonlinear systems with stochastic inverse dynamics which are neither necessarily Feedback linearizable nor affine in the control input, this paper investigates the problem of state-Feedback Stabilization for the first time. Under some weaker assumptions, a smooth state-Feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0, ∞), the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme. Copyright © 2007 John Wiley & Sons, Ltd.
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adaptive state Feedback Stabilization for high order stochastic non linear systems with uncertain control coefficients
International Journal of Control, 2007Co-Authors: Jie Tian, Xuejun XieAbstract:This paper investigates the adaptive state-Feedback Stabilization problem for a class of high-order stochastic non-linear systems with unknown lower and supper bounds for uncertain control coefficients. Under some weaker and reasonable assumptions, a smooth adaptive state-Feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution on [0,∞, the equilibrium of interest is globally stable in probability and the states can be regulated to the origin almost surely. A simulation example is given to show the systematic design and effectiveness of the controller.
