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This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

最优化与控制 · 数学 2026-04-14 Robert Vrabel

We present a novel control methodology to control the roughening processes of semilinear parabolic stochastic partial differential equations in one dimension, which we exemplify with the stochastic Kuramoto-Sivashinsky equation. The…

This paper surveys some recent results on the theory of quantum linear systems and presents them within a unified framework. Quantum linear systems are a class of systems whose dynamics, which are described by the laws of quantum mechanics,…

量子物理 · 物理学 2016-03-17 Ian R. Petersen

This paper studies the finite-horizon robust optimal control of constrained linear systems subject to model mismatch and additive stochastic disturbances. Utilizing the system level synthesis (SLS) parameterization, we propose a novel SLS…

最优化与控制 · 数学 2025-10-09 Yun Li , Jicheng Shi , Colin N. Jones , Neil Yorke-Smith , Tamas Keviczky

The present paper introduces a linear reformulation of the Kuramoto model describing a self-synchronizing phase transition in a system of globally coupled oscillators that in general have different characteristic frequencies. The…

斑图形成与孤子 · 物理学 2008-03-18 David C. Roberts

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

数学物理 · 物理学 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

适应与自组织系统 · 物理学 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov

A new formulation of Stochastic Model Predictive Output Feedback Control is presented and analyzed as a translation of Stochastic Optimal Output Feedback Control into a receding horizon setting. This requires lifting the design into a…

最优化与控制 · 数学 2020-05-01 Martin A Sehr , Robert R Bitmead

Stabilization of linear control systems with parameter-dependent system matrices is investigated. A Riccati based feedback mechanism is proposed and analyzed. It is constructed by means of an ensemble of parameters from a training set. This…

最优化与控制 · 数学 2023-06-05 Philipp A. Guth , Karl Kunisch , Sergio S. Rodrigues

In this paper, we consider the mixed optimal control of a linear stochastic system with a quadratic cost functional, with two controllers-one can choose only deterministic time functions, called the deterministic controller, while the other…

最优化与控制 · 数学 2017-08-23 Ying Hu , Shanjian Tang

The purpose of this paper is to present a theoretic and numerical study of utilizing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is…

量子物理 · 物理学 2012-06-19 Guofeng Zhang , Heung Wing Joseph Lee , Bo Huang , Hu Zhang

For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property is equivalent to exact null controllability. We…

最优化与控制 · 数学 2017-10-24 Rabah Rabah , Grigory Sklyar , Pavel Yu. Barkhayev , Pavel Barkhayev , Grzegorz Szkibiel

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

系统与控制 · 电气工程与系统科学 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

We consider stochastic optimal control of linear dynamical systems with additive non-Gaussian disturbance. We propose a novel, sampling-free approach, based on Fourier transformations and convex optimization, to cast the stochastic optimal…

最优化与控制 · 数学 2020-10-06 Vignesh Sivaramakrishnan , Abraham P. Vinod , Meeko M. K. Oishi

This paper tackles state feedback control of switched linear systems under arbitrary switching. We propose a data-driven control framework that allows to compute a stabilizing state feedback using only a finite set of observations of…

最优化与控制 · 数学 2022-05-05 Zheming Wang , Guillaume O. Berger , Raphaël M. Jungers

The paper suggests a generalization of the Sign-Perturbed Sums (SPS) finite sample system identification method for the identification of closed-loop observable stochastic linear systems in state-space form. The solution builds on the…

系统与控制 · 电气工程与系统科学 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

In the article the problem of output setpoint tracking for affine non-linear system is considered. Presented approach combines state feedback linearization and homotopy numerical continuation in subspaces of phase space where feedback…

系统与控制 · 计算机科学 2012-07-02 Alex Borisevich , Gernot Schullerus

This paper studies a stabilization problem for linear MIMO systems subject to external perturbation that further requires the closed-loop system render a specified gain from the external perturbation to the output. The problem arises from…

系统与控制 · 计算机科学 2018-06-15 Lijun Zhu , Zhiyong Chen , Xi Chen , David J. Hill

Real-time model predictive control of non-smooth switching systems remains challenging due to discontinuities and the presence of discrete modes, which complicate numerical integration and optimization. This paper presents a real-time…

系统与控制 · 电气工程与系统科学 2025-12-11 Hendrik Alsmeier , Felix Häusser , Andreas Knödler , Armin Nurkanović , Anton Pozharskiy , Moritz Diehl , Rolf Findeisen

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

最优化与控制 · 数学 2025-02-18 Michael Ruderman