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We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

最优化与控制 · 数学 2026-03-19 Johannes Köhler

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time…

最优化与控制 · 数学 2020-05-28 Jean-Michel Coron , Hoai-Minh Nguyen

This paper presents the control and stabilization of the rotary inverted pendulum based on a general controller scheme. The proposed scheme has its foundation in classical control theory, and the importance of an integrator in disturbance…

系统与控制 · 电气工程与系统科学 2022-09-07 Justin Jacob , Navin Khaneja

In this article, we prove the exponential stabilization of the semilinear wave equation with a damping effective in a zone satisfying the geometric control condition only. The nonlinearity is assumed to be subcritical, defocusing and…

偏微分方程分析 · 数学 2013-12-03 Romain Joly , Camille Laurent

This is the first part of four series papers, aiming at the problem of actuator dynamics compensation for linear systems. We consider the stabilization of a type of cascade abstract linear systems which model the actuator dynamics…

系统与控制 · 电气工程与系统科学 2020-08-27 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo

The paper deals with the design of nonlinear adaptive cruise controllers for vehicular platoons operating on an open road or a ring-road. The constructed feedback controllers are nonlinear functions of the distance between successive…

系统与控制 · 电气工程与系统科学 2020-07-15 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-varying reaction. Using "folding" transforms the parabolic…

最优化与控制 · 数学 2019-08-23 Stephen Chen , Rafael Vazquez , Miroslav Krstic

Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated…

系统与控制 · 计算机科学 2019-12-03 Romeo Ortega , Bowen Yi , Jose Guadalupe Romero , Alessandro Astolfi

In this work, we address the output--feedback control problem for nonlinear systems under bounded disturbances using a moving horizon approach. The controller is posed as an optimization-based problem that simultaneously estimates the state…

系统与控制 · 电气工程与系统科学 2024-09-23 Nestor N. Deniz , Guido Sanchez , Marina H. Murillo , Leonardo L. Giovanini

For a class of quasilinear parabolic systems with nonlinear Robin boundary conditions we construct a compact local solution semiflow in a nonlinear phase space of high regularity. We further show that a priori estimates in lower norms are…

偏微分方程分析 · 数学 2012-02-20 Martin Meyries

The not necessarily unitary evolution operator of a finite dimensional quantum system is studied with the help of a projection operators technique. Applying this approach to the Schr\"odinger equation allows the derivation of an alternative…

量子物理 · 物理学 2018-08-08 V. Semin , F. Petruccione

This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design…

最优化与控制 · 数学 2015-12-14 Long Hu , Rafael Vazquez , Florent Di Meglio , Miroslav Krstic

We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. We consider both systems with distributed control and…

偏微分方程分析 · 数学 2021-01-15 Jochen Schmid

For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the region of attraction under cubic feedback laws applied at the…

偏微分方程分析 · 数学 2025-06-24 Mohamed Camil Belhadjoudja , M Maghenem , E Witrant , M Krstic

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

最优化与控制 · 数学 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

Modern control systems frequently operate under input delays and sampled state measurements. A common delay-compensation strategy is predictor feedback; however, practical implementations require solving an implicit ODE online, resulting in…

系统与控制 · 电气工程与系统科学 2026-04-01 Luke Bhan , Peter Quawas , Miroslav Krstic , Yuanyuan Shi

This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear~control of nth-order strict-feedback form (SFF) systems.~By decomposing the SFF system to subsystems, a generic~term (namely…

最优化与控制 · 数学 2024-07-16 Janne Koivumäki , Jukka-Pekka Humaloja , Lassi Paunonen , Wen-Hong Zhu , Jouni Mattila

This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear…

系统与控制 · 电气工程与系统科学 2022-09-07 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

In this paper we propose a new design paradigm, which employing a postprocessing internal model unit, to approach the problem of output regulation for a class of multivariable minimum-phase nonlinear systems possessing a partial normal…

系统与控制 · 电气工程与系统科学 2021-11-25 Michelangelo Bin , Lorenzo Marconi

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

最优化与控制 · 数学 2015-04-29 Christopher Nielsen