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Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent…

Systems and Control · Computer Science 2018-08-30 Pouya Badri , Mahdi Sojoodi

The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of…

Optimization and Control · Mathematics 2015-11-16 Alexander Ovseevich , Aleksey Fedorov

We consider application of the multiple time delayed feedback for control of anharmonic (nonlinear) oscillators subject to noise. In contrast to the case of a single delay feedback, the multiple one exhibits resonances between feedback and…

Statistical Mechanics · Physics 2014-07-30 Denis S. Goldobin

Robotic control systems are increasingly relying on distributed feedback controllers to tackle complex sensing and decision problems such as those found in highly articulated human-centered robots. These demands come at the cost of a…

Systems and Control · Computer Science 2015-01-14 Ye Zhao , Nicholas Paine , Kwan Suk Kim , Luis Sentis

The fundamental lemma by Jan C. Willems and co-authors enables the representation of all input-output trajectories of a linear time-invariant system by measured input-output data. This result has proven to be pivotal for data-driven…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Guanru Pan , Ruchuan Ou , Timm Faulwasser

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience…

Dynamical Systems · Mathematics 2012-07-10 Shipei Huang , Zhengrong Xiang

This paper addresses the mean-square optimal control problem for \a class of discrete-time linear systems with a quasi-colored control-dependent multiplicative noise via output feedback. The noise under study is novel and shown to have…

Systems and Control · Electrical Eng. & Systems 2021-09-06 Junhui Li , Jieying Lu , Weizhou Su

In this article, we consider a nonlinear process with delayed dynamics to be controlled over a communication network in the presence of disturbances and study robustness of the resulting closed-loop system with respect to network-induced…

Systems and Control · Computer Science 2016-04-18 Domagoj Tolic , Sandra Hirche

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

We investigate a driven, one-dimensional system of colloidal particles in a periodically currogated narrow channel subject to a time-delayed feedback control. Our goal is to identify conditions under which the control induces oscillatory,…

Soft Condensed Matter · Physics 2015-06-11 Ken Lichtner , Andrey Pototsky , Sabine H. L. Klapp

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamical system is a controllable experiment then one approach is…

Dynamical Systems · Mathematics 2009-03-19 Jan Sieber , Bernd Krauskopf

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

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Pratik Vernekar , Vitthal Bandal

We develop a stabilization strategy of turning processes by means of delayed spindle control. We show that turning processes which contain intrinsic state-dependent delays can be stabilized by a spindle control with state-dependent delay,…

Dynamical Systems · Mathematics 2018-06-14 Qingwen Hu , Huan Zhang

Extended time-delay auto-synchronization (ETDAS) is a promising technique for stabilizing unstable periodic orbits in low-dimensional dynamical systems. The technique involves continuous feedback of signals delayed by multiples of the…

chao-dyn · Physics 2009-10-28 Michael E. Bleich , Joshua E. S. Socolar

Optimal nonlinear damping control was recently introduced for the second-order SISO systems, showing some advantages over a classical PD feedback controller. This paper summarizes the main theoretical developments and properties of the…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Michael Ruderman

We study stability of interacting nonlinear systems with time-delayed communications, using contraction theory and a simplified wave variable design inspired by robotic teleoperation. We show that contraction is preserved through specific…

Pattern Formation and Solitons · Physics 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

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…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Lei Wang , Christopher M. Kellett

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

Optimization and Control · Mathematics 2022-09-13 Thiago Alves Lima , Matteo Della Rossa , Frédéric Gouaisbaut , Raphaël Jungers , Sophie Tarbouriech