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In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

最优化与控制 · 数学 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

A major challenge in autonomous driving is designing control architectures that guarantee safety in all relevant driving scenarios. Given a safe desired reference trajectory for the vehicle, a trajectory following controller has to ensure…

系统与控制 · 电气工程与系统科学 2023-08-08 Robert Jacumet , Christian Rathgeber , Vladislav Nenchev

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

最优化与控制 · 数学 2018-02-22 Pouya Badri , Mahdi Sojoodi

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…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen

This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly…

系统与控制 · 电气工程与系统科学 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

In this paper an offset-free model predictive control scheme is presented for fractional-order systems using the Gr\"unwald-Letnikov derivative. The infinite-history fractional-order system is approximated by a finite-dimensional…

动力系统 · 数学 2019-04-26 Sotiris Ntouskas , Haralambos Sarimveis , Pantelis Sopasakis

This study focuses on the problem of optimal mismatched disturbance rejection control for uncontrollable linear discrete-time systems. In contrast to previous studies, by introducing a quadratic performance index such that the regulated…

最优化与控制 · 数学 2022-09-16 Shichao Lv , Hongdan Li , Kai Peng , Huanshui Zhang

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is applied to design the disturbance compensation gain, which…

最优化与控制 · 数学 2022-05-04 Shichao Lv , Kai Peng , Hongxia Wang , Huanshui Zhang

We study the robust output regulation of linear boundary control systems by constructing extended systems. The extended systems are established based on solving static differential equations under two new conditions. We first consider the…

最优化与控制 · 数学 2021-04-19 Duy Phan , Lassi Paunonen

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadratic performance index to transform the mismatched…

最优化与控制 · 数学 2023-06-05 Shichao Lv , Hongdan Li , Kai Peng , Shihua Li , Huanshui Zhang

Output reference tracking of unknown nonlinear systems is considered. The control objective is exact tracking in predefined finite time, while in the transient phase the tracking error evolves within a prescribed boundary. To achieve this,…

最优化与控制 · 数学 2024-08-29 Lukas Lanza

We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

最优化与控制 · 数学 2021-04-19 Lassi Paunonen , Duy Phan

Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly…

最优化与控制 · 数学 2022-11-28 Marcus Riesmeier , Frank Woittennek

Late-lumping feedback design for infinite-dimensional linear systems with unbounded input operators is considered. The proposed scheme is suitable for the approximation of backstepping and flatness-based designs and relies on a…

最优化与控制 · 数学 2022-11-03 Marcus Riesmeier , Frank Woittennek

In this paper, disturbance reconstruction and robust trajectory tracking control of biped robots with hybrid dynamics in the port-Hamiltonian form is investigated. A new type of Hamiltonian function is introduced, which ensures the…

机器人学 · 计算机科学 2021-10-14 Yousef Farid , Fabio Ruggiero

We study the problem of adaptive control of the linear quadratic regulator for systems in very high, or even infinite dimension. We demonstrate that while sublinear regret requires finite dimensional inputs, the ambient state dimension of…

最优化与控制 · 数学 2021-07-16 Juan C. Perdomo , Max Simchowitz , Alekh Agarwal , Peter Bartlett

This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equations and properties of these systems are presented. A…

最优化与控制 · 数学 2007-05-23 I. Petras , L. Dorcak , I. Kostial

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen

Control systems are inevitably affected by external disturbances, and a major objective of the control design is to attenuate or eliminate their adverse effects on the system performance. This paper presents a disturbance rejection approach…

系统与控制 · 电气工程与系统科学 2020-07-30 Zhitao Li , Amin Vahidi-Moghaddam , Hamidreza Modares , Jinsheng Sun
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