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Sampled-data control of time-delay uncertain systems with uncontrollable/unobservable linearization by memoryless feedback

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2024年第10期34卷 6532-6549页

作者： Zhao, Congran Lin, Wei Jiangsu Normal Univ Sch Math & Stat Xuzhou Jiangsu Peoples R China Case Western Reserve Univ Dept Elect Comp & Syst Engn Cleveland OH USA Case Western Reserve Univ Dept Elect Comp & Syst Engn Cleveland OH 44106 USA

Sampled-data control problems via memoryless state and output feedback are studied, respectively, for a class of strongly nonlinear systems with state and input delays. Under sample and hold, both state and output feedback control schemes are developed by virtue of the emulation method, the adding a power integrator technique, and the recursive design of nonlinear observers. With the aid of Lyapunov-Krasovskii functional theorem, together with the idea of robust control, we prove that the proposed sampled-data state and output feedback controllers make the hybrid closed-loop systems with delays and uncertainty globally asymptotically stable, if the input delay and sampling period are limited. The class of time-delay uncertain systems under consideration goes beyond the Lipschitz or linear growth condition and is genuinely nonlinear in the sense that it contains uncontrollable/unobservable linearization and is not stabilizable, even locally, by any linear or smooth feedback. Applications of the sampled-data robust control schemes presented in this article are illustrated by examples with simulations.

关键词： delays in the state and input global asymptotic stabilization memoryless state and output feedback nonlinear systems with uncertainty sampled-data control uncontrollable/unobservable linearization

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Robust output feedback stabilization of uncertain nonlinear systems with uncontrollable and unobservable linearization

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2005年第5期50卷 619-630页

作者： Yang, B Lin, W Case Western Reserve Univ Dept Elect Engn & Comp Sci Cleveland OH 44106 USA

This paper investigates the problem of robust output feedback stabilization for a family of uncertain nonlinear systems with uncontrollable/unobservable linearization. To achieve global robust stabilization via smooth output feedback, we introduce a rescaling transformation with an appropriate dilation, which turns out to be very effective in dealing with uncertainty of the system. Using this rescaling technique combined with the nonseparation principle based design method, we develop a robust output feedback control scheme for uncertain nonlinear systems in the p-normal form, under a homogeneous growth condition. The construction of smooth state feedback controllers and homogeneous observers uses only the knowledge of the bounding homogeneous system rather than the uncertain system itself. The robust output feedback design approach is then extended to a class of uncertain cascade systems beyond a strict-triangular structure. Examples are provided to illustrate the results of the paper.

关键词： global robust stabilization homogeneous observers nonseparation principle design resealing transformation smooth output feedback uncertain nonlinear systems uncontrollable/unobservable linearization

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Reduced-Order Observer, Homogeneous Domination and Nonsmooth Output Feedback Stabilization of Nonlinear Systems

Reduced-Order Observer, Homogeneous Domination and Nonsmooth...

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7th World Congress on Intelligent Control and Automation

作者： Lei, Hao Lin, Wei Alstom Power Inc Power Plant Lab Windsor CT 06095 USA Case Western Reserve Univ Dept EECS Cleveland OH 44106 USA

ISBN: (纸本)9781424421138

In this paper, we study the problem of global stabilization by output feedback for a general class of non-uniformly observable and non-smoothly stabilizable systems with uncertainty. By using a homogeneous domination method, together with a recursive design for the construction of reduced-order observers, we prove that the problem is solvable for a large family of genuinely nonlinear systems with both lower- and higher-order nonlinearities. The focus of this work is to exploit the idea of how to deal with polynomial growth nonlinearities via domination and homogeneity.

关键词： Global Stabilization Homogeneous Domination Low- and High-order Nonlinearities Output Feedback uncontrollable/unobservable linearization

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TAKING ADVANTAGE OF HOMOGENEITY: A UNIFIED FRAMEWORK FOR OUTPUT FEEDBACK CONTROL OF NONLINEAR SYSTEMS

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IFAC Proceedings Volumes 2007年第12期40卷 1191-1202页

作者： Wei Lin Hao Lei Dept. of Electrical Engineering and Computer Science Case Western Reserve University Cleveland OH 44106 USA

A unified framework is presented for global output feedback stabilization of a family of uncertain systems with low- and high-order nonlinearities. By taking advantage of homogeneity, together with a domination-based observer/controller design, this framework not only incorporates a number of results proposed recently in the literature, but also yields new results for more general classes of non-uniformly observable and non-smoothly stabilizable systems, whose global stabilization problem cannot be addressed by existing output feedback control schemes. The novelty of this paper lies in the development of a reduced order observer-based output feedback design method, making it possible to compensate simultaneously low-order nonlinearities that dominate near the origin, and high-order nonlinearities that dominate far away from the origin.

关键词： Global Stabilization Homogeneous Domination Low- and High-order Nonlinearities Output Feedback uncontrollable/unobservable linearization

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Robust stabilization of uncertain high order systems via smooth output feedback

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IFAC Proceedings Volumes 2004年第13期37卷 65-72页

作者： Wei Lin Bo Yang Dept of Electrical Engineering and Computer Science Case Western Reserve University Cleveland OH 44106 USA

We investigate the robust stabilization problem for a family of uncertain nonlinear systems with uncontrollable/unobservable linearization. To achieve global robust stabilization using a single output feedback controller, we introduce a rescaling transformation with an appropriate dilation, which turns out to be very effective in dealing with uncertainty of the system. Using this rescaling technique combined with the non-separation principle based design methods (Qian and Lin, 2002a; Yang and Lin, 2003), we develop a robust output feedback control scheme for uncertain nonlinear systems satisfying a homogeneous growth condition. Both a smooth state feedback controller and a homogeneous observer are designed for the rescaled system using only the knowledge of the bounding system rather than the uncertain system itself.

关键词： Global robust stabilization Homogeneous observers Non-separation principle design Rescaling transformation Smooth output feedback uncontrollable/unobservable linearization Uncertain nonlinear systems

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