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In this paper, we consider the closed-loop control problem of nonlinear robotic systems in the presence of probabilistic uncertainties and disturbances. More precisely, we design a state feedback controller that minimizes deviations of the…

机器人学 · 计算机科学 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

最优化与控制 · 数学 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

系统与控制 · 电气工程与系统科学 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

最优化与控制 · 数学 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

This paper concerns the small-time stabilization of some classes of mechanical systems which are not stabilizable by means of at least continuous state feedback laws. This is the case of nonholonomic mechanical systems, an example being the…

最优化与控制 · 数学 2019-05-28 Brigitte d'Andréa-Novel , Jean-Michel Coron , Wilfrid Perruquetti

Exact discrete-time models of nonlinear systems are difficult or impossible to obtain, and hence approximate models may be employed for control design. Most existing results provide conditions under which the stability of the approximate…

系统与控制 · 电气工程与系统科学 2022-07-15 Alexis J. Vallarella , Paula Cardone , Hernan Haimovich

This paper deals with the development and analysis of novel time-optimal point-to-point model predictive control concepts for nonlinear systems. Recent approaches in the literature apply a time transformation, however, which do not maintain…

系统与控制 · 电气工程与系统科学 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram

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

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

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the…

系统与控制 · 计算机科学 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

In this paper a novel discrete-time realization of the super-twisting controller is proposed. The closed-loop system is proven to converge to an invariant set around the origin in finite time. Furthermore, the steady-state error is shown to…

系统与控制 · 电气工程与系统科学 2024-05-03 Benedikt Andritsch , Lars Watermann , Stefan Koch , Markus Reichhartinger , Johann Reger , Martin Horn

We analyze the stability of general nonlinear discrete-time stochastic systems controlled by optimal inputs that minimize an infinite-horizon discounted cost. Under a novel stochastic formulation of cost-controllability and detectability…

最优化与控制 · 数学 2025-04-30 Robert H. Moldenhauer , Dragan Nešić , Mathieu Granzotto , Romain Postoyan , Andrew R. Teel

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly…

系统与控制 · 电气工程与系统科学 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen

This paper investigates the problem of data-driven stabilization for linear discrete-time switched systems with unknown switching dynamics. In the absence of noise, a data-based state feedback stabilizing controller can be obtained by…

系统与控制 · 电气工程与系统科学 2023-11-21 Wenjie Liu , Yifei Li , Jian Sun , Gang Wang , Jie Chen

We study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

动力系统 · 数学 2018-06-12 Raik Suttner

We investigate the finite-time boundary stabilization of a 1-D first order quasilinear hyperbolic system of diagonal form on [0,1]. The dynamics of both boundary controls are governed by a finite-time stable ODE. The solutions of the…

偏微分方程分析 · 数学 2013-02-26 Vincent Perrollaz , Lionel Rosier

Feedback optimization algorithms compute inputs to a system using real-time output measurements, which helps mitigate the effects of disturbances. However, existing work often models both system dynamics and computations in either discrete…

系统与控制 · 电气工程与系统科学 2026-03-23 Oscar Jed Chuy , Matthew Hale , Ricardo Sanfelice

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

最优化与控制 · 数学 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech