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In this work we present a workflow for designing two linear control techniques applied to the dynamic system quadruple inverted pendulum mounted on a cart (QIP) where the steady state error on cart position is eliminated through a…

系统与控制 · 电气工程与系统科学 2022-03-04 Franklin Josue Ticona Coaquira

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

The principal task to control dynamical systems is to ensure their stability. When the system is unknown, robust approaches are promising since they aim to stabilize a large set of plausible systems simultaneously. We study linear…

系统与控制 · 电气工程与系统科学 2020-11-24 Lenart Treven , Sebastian Curi , Mojmir Mutny , Andreas Krause

In linear systems theory it's a well known fact that a regulator given by the cascade of an oscillatory dynamics, driven by some regulated variables, and of a stabiliser stabilising the cascade of the plant and of the oscillators has the…

系统与控制 · 电气工程与系统科学 2021-09-15 Daniele Astolfi , Laurent Praly , Lorenzo Marconi , Mines Paristech

The plant to be stabilized is a system node $\Sigma$ with generating triple $(A,B,C)$ and transfer function $\bf G$, where $A$ generates a contraction semigroup on the Hilbert space $X$. The control and observation operators $B$ and $C$ may…

最优化与控制 · 数学 2021-12-16 Ruth Curtain , George Weiss

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance; however,…

最优化与控制 · 数学 2017-11-28 Daniel E. Miller

In this article, we study the linear time-invariant state-feedback controller design problem for distributed systems. We follow the recently developed system level synthesis (SLS) approach and impose locality structure on the resulting…

系统与控制 · 电气工程与系统科学 2022-01-11 Emily Jensen , Bassam Bamieh

This paper addresses the problem of optimal robust stabilization of a discrete-time minimum-phase plant in the framework of robust control theory in the $\ell_1$ setup and under poor a priori information. Coefficients of the transfer…

最优化与控制 · 数学 2024-04-12 Victor F. Sokolov

We consider a two-dimensional SISO LTI system closed by uncertain linear feedback. The feedback gain is time-varying, bounded, and has a bounded derivative (both bounds are known). We investigate the asymptotic stability of this system…

最优化与控制 · 数学 2026-02-03 Anton Ponomarev , Lutz Gröll

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…

最优化与控制 · 数学 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

Online convex optimization (OCO) is a powerful tool for learning sequential data, making it ideal for high precision control applications where the disturbances are arbitrary and unknown in advance. However, the ability of OCO-based…

系统与控制 · 电气工程与系统科学 2024-05-14 Joyce Lai , Peter Seiler

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is increasing. We prove that, under reasonable assumptions, there…

最优化与控制 · 数学 2021-07-02 Pietro Lorenzetti , George Weiss

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…

最优化与控制 · 数学 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

系统与控制 · 电气工程与系统科学 2023-07-06 Andrey Polyakov , Miroslav Krstic

Consider that a linear time-invariant (LTI) plant is given and that we wish to design a stabilizing controller for it. Admissible controllers are LTI and must comply with a pre-selected sparsity pattern. The sparsity pattern is assumed to…

系统与控制 · 计算机科学 2012-09-07 Serban Sabau , Nuno C. Martins

In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing…

系统与控制 · 电气工程与系统科学 2025-06-24 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

最优化与控制 · 数学 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

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,…

系统与控制 · 电气工程与系统科学 2021-03-02 Lei Wang , Christopher M. Kellett

In this paper, the feedback stabilization of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) system cascaded by a linear stochastic system is studied in the mean-square sense. Here, the linear stochastic system can model…

系统与控制 · 电气工程与系统科学 2024-05-06 Junhui Li , Jieying Lu , Weizhou Su

Feedback-based optimization (FBO) provides a simple control framework for regulating a stable dynamical system to the solution of a constrained optimization problem in the presence of exogenous disturbances, and does so without full…

系统与控制 · 电气工程与系统科学 2025-11-07 Niloufar Yousefi , John W. Simpson-Porco