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This paper addresses the classical problem of determining the set of possible states of a linear discrete-time system subject to bounded disturbances from measurements corrupted by bounded noise. These so-called uncertainty sets evolve with…

最优化与控制 · 数学 2017-10-12 Robin Hill , Yousong Luo , Uwe Schwerdtfeger

This paper addresses the classical problem of determining the sets of possible states of a linear discrete-time system subject to bounded disturbances from measurements corrupted by bounded noise. These so-called uncertainty sets evolve…

最优化与控制 · 数学 2014-05-08 Robin Hill , Yousong Luo , Uwe Schwerdtfeger

The paper describes the robust algorithm for linear time-invariant plants under parametric uncertainties, external disturbances and high-frequency noises in measurements. The proposed algorithm allows one to reduce the noise impact on the…

系统与控制 · 计算机科学 2016-12-30 I. B. Furtat , A. N. Nekhoroshikh

The algorithm with compensation of parametric uncertainties, external disturbances and measurement noises for linear time-invariant plants is designed. It is assumed, that the dimension of the noise can be equaled to the state vector…

系统与控制 · 计算机科学 2016-11-30 Igor B. Furtat

This paper deals with the problem of predicting the future state of discrete-time input-delayed systems in the presence of unknown disturbances that can affect both the state and the output equations of the plant. Since the disturbance is…

系统与控制 · 电气工程与系统科学 2022-08-10 Thiago Alves Lima , Valessa V. Viana , Bismark C. Torrico , Fabrício G. Nogueira , Diego de S. Madeira

We survey the problem of deciding the stability or stabilizability of uncertain linear systems whose region of uncertainty is a polytope. This natural setting has applications in many fields of applied science, from Control Theory to…

系统与控制 · 计算机科学 2014-02-12 Nikos Vlassis , Raphaël Jungers

Time delay estimation plays a critical role in control, stabilization and state estimation of many practical system with time delay. In this paper, we propose a method to estimate delay for discrete time linear multiple-input…

系统与控制 · 电气工程与系统科学 2021-09-08 Iman Shafikhani , Hazhar Sufi Karimi , Mohammad Mohammadian , Amin Ramezani , Hamid Reza Momeni

The problem of $\mathcal{L}_2$ stabilization of a state feedback stochastic control loop is investigated under different constraints. The discrete time linear time invariant (LTI) open loop plant is chosen to be unstable. The additive white…

系统与控制 · 电气工程与系统科学 2024-09-06 Shrija Karmakar , Ritwik Kumar Layek

This work presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input-single-output (SISO) continuous and discrete time linear-time-invariant (LTI) systems. In particular, we…

系统与控制 · 计算机科学 2019-04-19 Jingjing Bu , Afshin Mesbahi , Mehran Mesbahi

The present paper develops recursive algorithms to track shifts in the resonance frequency of linear systems in real time. To date, automatic resonance tracking has been limited to non-model-based approaches, which rely solely on the phase…

最优化与控制 · 数学 2020-12-22 Thomas Vasileiou

In this work we formulate the problem of satisfying a linear temporal logic formula on a linear plant with output feedback, through a recent hybrid systems formalism. We relate this problem to the notion of recurrence introduced for the…

系统与控制 · 电气工程与系统科学 2020-11-17 Andrea Bisoffi , Dimos V. Dimarogonas

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

系统与控制 · 电气工程与系统科学 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

最优化与控制 · 数学 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

This paper proposes a novel direct adaptive control method for rejecting unknown deterministic disturbances and tracking unknown trajectories in systems with uncertain dynamics when the disturbances or trajectories are the summation of…

系统与控制 · 计算机科学 2016-03-18 Behrooz Shahsavari , Jinwen Pan , Roberto Horowitz

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

系统与控制 · 电气工程与系统科学 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

We study singularly perturbed systems that exhibit input-to-state stability (ISS) with fixed-time properties in the presence of bounded disturbances. In these systems, solutions converge to the origin within a time frame independent of…

系统与控制 · 电气工程与系统科学 2025-12-01 Michael Tang , Miroslav Krstic , Jorge Poveda

A procedure and theoretical results are presented for the problem of determining a minimal robust positively invariant (RPI) set for a linear discrete-time system subject to unknown, bounded disturbances. The procedure computes, via the…

系统与控制 · 计算机科学 2016-07-22 Paul Trodden

This paper considers the design of robust state observers for a class of slope-restricted nonlinear descriptor systems with unknown time-varying parameters belonging to a known set. The proposed design accounts for process disturbances and…

最优化与控制 · 数学 2022-07-12 T. J. Meijer , V. S. Dolk , M. S. Chong , W. P. M. H. Heemels

Model-based robust control requires not only accurate nominal models but also systematic uncertainty representations to guarantee stability and performance. However, constructing polytopic uncertainty models typically demands multiple…

系统与控制 · 电气工程与系统科学 2026-05-14 Hiroshi Okajima , Shun Shirahama , Tatsunori Hayashi , Nobutomo Matsunaga

This paper investigates closed-loop stability of a linear discrete-time plant subject to bounded disturbances when controlled according to packetized predictive control (PPC) policies. In the considered feedback loop, the controller is…

系统与控制 · 电气工程与系统科学 2021-08-20 Mohsen Barforooshan , Masaaki Nagahara , Jan Ostergaard
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