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We consider the problem of designing a state feedback control law to achieve nonovershooting tracking for feedback linearisable multiple-input multiple-output nonlinear systems. The reference signal is assumed to be obtained from a linear…

Optimization and Control · Mathematics 2019-10-18 Robert Schmid

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

In process operations, it is desirable to manage the sensitivity of the system output against external disturbance in the form of finite $\mathcal{L}_2$-gain stabilization. This matter is, however, nonsensical for stochastic systems because…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Shuangyu Han , Jie Bao , Biao Huang

Periodic event-triggered control (PETC) evaluates the triggering rule periodically and is well-suited for implementation on digital platforms. This paper investigates PETC design for nonlinear systems affected by external disturbances under…

Optimization and Control · Mathematics 2020-06-05 Xiangru Xu , Adam M. Tahir , Behcet Acikmese

This paper is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a…

Optimization and Control · Mathematics 2022-02-02 Hugo Lhachemi , Christophe Prieur

We are interested in the control of forming processes for nonlinear material models. To develop an online control we derive a novel feedback law and prove a stabilization result. The derivation of the feedback control law is based on a…

Optimization and Control · Mathematics 2021-04-13 Markus Bambach , Michael Herty , Muhammad Imran

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

We analyze the stabilization of unstable steady states by delayed feedback control with a periodic time-varying delay in the regime of a high-frequency modulation of the delay. The average effect of the delayed feedback term in the control…

Chaotic Dynamics · Physics 2013-09-20 Aleksandar Gjurchinovski , Thomas Jüngling , Viktor Urumov , Eckehard Schöll

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This paper considers nonlinear systems with full state feedback, a central controller and distributed sensors not co-located with the central controller. We present a methodology for designing decentralized asynchronous event-triggers,…

Systems and Control · Computer Science 2015-10-16 Pavankumar Tallapragada , Nikhil Chopra

We propose a distributed event-triggered control law to solve the consensus problem for multi-agent systems with nonlinear output. Under the condition that the underlying digraph is strongly connected, we propose some sufficient conditions…

Systems and Control · Computer Science 2019-04-16 Xinlei Yi , Shengjun Zhang , Tao Yang , Junfeng Wu , Karl H. Johansson

A method of stabilizing 2-cycles in discrete dynamic systems by Delayed Feedback Control is developed by using classic Harmonic Analysis.

Dynamical Systems · Mathematics 2013-07-30 D. Dmitrishin , A. Khamitova , A. Korenovskyi , A. Stokolos

This paper considers the stabilization of nonlinear continuous-time dynamical systems employing periodic event-triggered control (PETC). Assuming knowledge of a stabilizing feedback law for the continuous-time system with a certain…

Systems and Control · Electrical Eng. & Systems 2019-09-02 Michael Hertneck , Steffen Linsenmayer , Frank Allgöwer

In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient…

Systems and Control · Computer Science 2020-03-18 Mario di Bernardo , Davide Fiore

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov

For linear time-invariant systems, input-state data collected during an open-loop experiment can remedy the lack of knowledge of system parameters. However, such data do not contain information about other system uncertainties such as…

Optimization and Control · Mathematics 2025-10-02 Yongzhang Li , Amir Shakouri , M. Kanat Camlibel

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

Optimization and Control · Mathematics 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko , P. Hoevel , E. Schoell

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

Analysis of PDEs · Mathematics 2007-05-23 Jinqiao Duan , Andrei V. Fursikov