English
Related papers

Related papers: Sliding mode control for a class of linear infinit…

200 papers

This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE, is subject to a general class of nonlinearities. Such a…

Analysis of PDEs · Mathematics 2021-04-09 Swann Marx , Lucas Brivadis , Daniele Astolfi

In this paper we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers, we show that H-infinity controllers for such systems can be computed using…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Suat Gumussoy , Hitay Ozbay

This paper presents an approach to systematically design sliding mode control and manifold to stabilize nonlinear uncertain systems. The objective is also accomplished to enlarge the inner bound of region of attraction for closed-loop…

Systems and Control · Computer Science 2016-01-12 Sina Sanjari , Sadjaad Ozgoli

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…

Optimization and Control · Mathematics 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is assumed that the control vector fields together with their iterated Lie brackets satisfy Hormander's condition in a neighborhood of the origin.…

Optimization and Control · Mathematics 2020-02-07 Victoria Grushkovskaya , Alexander Zuyev

This paper presents a new data-driven control for multi-input, multi-output nonlinear systems with partially unknown dynamics and bounded disturbances. Since exact nonlinearity cancellation is not feasible with unknown disturbances, we…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Xianxian Zhao , Congcong Sun

This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the…

Optimization and Control · Mathematics 2022-07-05 Masashi Wakaiki , Hideki Sano

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

Optimization and Control · Mathematics 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

Optimization and Control · Mathematics 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both state and output feedback Lagrange stabilization…

Systems and Control · Computer Science 2013-06-27 Hua Ouyang , Ian R. Petersen , Valery Ugrinovskii

We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of…

Optimization and Control · Mathematics 2026-05-28 Mohamed Fkirine , Lassi Paunonen

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations…

Optimization and Control · Mathematics 2024-11-21 Pedro Henrique Silva Coutinho , Iury Bessa , Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira

Robust finite-time feedback controller introduced for the second-order systems in [1] can be seen as a non-overshooting quasi-continuous sliding mode control. The paper proposes a regularization scheme to suppress inherent chattering due to…

Optimization and Control · Mathematics 2025-06-06 Michael Ruderman , Denis Efimov

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

Systems and Control · Computer Science 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay…

Optimization and Control · Mathematics 2026-04-21 Yaxing Ma , Lijuan Wang , Huaiqiang Yu

This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the controllable LTI system can be stabilized to zero in a finite…

Optimization and Control · Mathematics 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori