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This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

最优化与控制 · 数学 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

The paper deals with the problem of the sampled data feedback stabilization for autonomous nonlinear systems. The corresponding results extend those obtained in earlier works by the same authors. The sufficient conditions we establish are…

最优化与控制 · 数学 2023-07-24 John Tsinias , Dionysis Theodosis

The notion of the relaxed Robust Control Lyapunov Function (relaxed RCLF) is introduced and is exploited for the design of robust feedback stabilizers for nonlinear systems. Particularly, it is shown for systems with input constraints that…

最优化与控制 · 数学 2008-10-07 Iasson Karafyllis , Costas Kravaris , Nicolas Kalogerakis

In this work, we propose a methodology for the expression of necessary and sufficient Lyapunov-like conditions for the existence of stabilizing feedback laws. The methodology is an extension of the well-known Control Lyapunov Function (CLF)…

最优化与控制 · 数学 2008-01-31 Iasson Karafyllis , Zhong-Ping Jiang

This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

最优化与控制 · 数学 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

This paper introduces the concept of parameter-dependent (PD) control Lyapunov functions (CLFs) for gain-scheduled stabilization of nonlinear parameter-varying (NPV) systems. It shows that given a PD-CLF, a min-norm control law can be…

最优化与控制 · 数学 2025-03-06 Pan Zhao

Practical stabilization of input-affine systems in the presence of measurement errors and input constraints is considered in this brief note. Assuming that a Lyapunov function and a stabilizing control exist for an input-affine system, the…

系统与控制 · 电气工程与系统科学 2025-01-16 Patrick Schmidt , Pavel Osinenko , Stefan Streif

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we…

最优化与控制 · 数学 2015-03-11 Jean-Michel Coron , Zhiqiang Wang

This paper investigates the design of decentralized output-feedback controllers for a class of a large scale switched nonlinear systems under arbitrary switching laws. A global large scale switched system can be split into a set of smaller…

最优化与控制 · 数学 2019-02-19 Dalel Jabri , Djamel Chouaib Belkhiat , Kevin Guelton , Noureddine Manamanni

We augment existing generator-side primary frequency control with load-side control that are local, ubiquitous, and continuous. The mechanisms on both the generator and the load sides are decentralized in that their control decisions are…

系统与控制 · 计算机科学 2014-03-25 Changhong Zhao , Steven Low

Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

系统与控制 · 电气工程与系统科学 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

In this paper, we provide a systematic approach for the design of stabilizing feedback controllers for nonlinear control systems using the Koopman operator framework. The Koopman operator approach provides a linear representation for a…

最优化与控制 · 数学 2018-10-02 Bowen Huang , Xu Ma , Umesh Vaidya

Control Lyapunov functions (CLFs) play a vital role in modern control applications, but finding them remains a problem. Recently, the control Lyapunov-value function (CLVF) and robust CLVF have been proposed as solutions for nonlinear…

最优化与控制 · 数学 2024-04-03 Zheng Gong , Hyun Joe Jeong , Sylvia Herbert

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

系统与控制 · 电气工程与系统科学 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

Control Lyapunov Functions (CLFs) have been extensively used in the control community. A well-known drawback is the absence of a systematic way to construct CLFs for general nonlinear systems, and the problem can become more complex with…

最优化与控制 · 数学 2026-03-06 Zheng Gong , Sylvia Herbert

This paper studies the design of a finite-dimensional output feedback controller for the stabilization of a reaction-diffusion equation in the presence of a sector nonlinearity in the boundary input. Due to the input nonlinearity, classical…

最优化与控制 · 数学 2022-07-13 Hugo Lhachemi , Christophe Prieur

We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach. In this formulation the large-scale system is decomposed…

动力系统 · 数学 2015-07-22 Soumya Kundu , Marian Anghel

Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS)…

系统与控制 · 计算机科学 2019-04-04 Anton V. Proskurnikov , Manuel Mazo

For a general time-varying system, we prove that existence of an "Output Robust Control Lyapunov Function" implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the…

最优化与控制 · 数学 2007-11-21 Iasson Karafyllis , John Tsinias
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