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We address the global stabilization of linear time-invariant (LTI) systems when the magnitude of the control input and its successive time derivatives, up to an order $p\in\mathbb N$, are bounded by prescribed values. We propose a static…

系统与控制 · 计算机科学 2016-04-12 Jonathan Laporte , Antoine Chaillet , Yacine Chitour

This paper investigates the structural functional observability (SFO) and structural output controllability (SOC) of a class of systems with generically diagonalizable state matrices and explores the associated minimal sensor and actuator…

系统与控制 · 电气工程与系统科学 2024-09-26 Yuan Zhang , Tyrone Fernando , Mohamed Darouach

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

最优化与控制 · 数学 2015-05-25 Shigeru Hanba

In this paper, we address two minimal controllability problems, where the goal is to determine a minimal subset of state variables in a linear time-invariant system to be actuated to ensure controllability under additional constraints.…

最优化与控制 · 数学 2016-04-20 Sergio Pequito , Guilherme Ramos , Soummya Kar , A. Pedro Aguiar , Jaime Ramos

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

系统与控制 · 计算机科学 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

最优化与控制 · 数学 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

We consider the problem of learning a realization for a linear time-invariant (LTI) dynamical system from input/output data. Given a single input/output trajectory, we provide finite time analysis for learning the system's Markov…

机器学习 · 计算机科学 2019-02-05 Samet Oymak , Necmiye Ozay

Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Optimal control mainly relies on quadratic Lagrangians and the…

最优化与控制 · 数学 2024-10-10 Cédric Join , Emmanuel Delaleau , Michel Fliess

In this paper, we derive closed-form expressions for implicit controlled invariant sets for discrete-time controllable linear systems with measurable disturbances. In particular, a disturbance-reactive (or disturbance feedback) controller…

系统与控制 · 电气工程与系统科学 2021-10-05 Zexiang Liu , Tzanis Anevlavis , Necmiye Ozay , Paulo Tabuada

In this paper, a cooperative Linear Quadratic Regulator (LQR) problem is investigated for multi-input systems, where each input is generated by an agent in a network. The input matrices are different and locally possessed by the…

多智能体系统 · 计算机科学 2021-11-10 Peihu Duan , Lidong He , Zhisheng Duan , Ling Shi

This paper considers the analysis and design of resilient/robust decentralized control systems. Specifically, we aim to assess how the pairing of sensors and actuators lead to architectures that are resilient to attacks/hacks for industrial…

最优化与控制 · 数学 2017-02-24 Sergio Pequito , Farshad Khorrami , Prashanth Krishnamurthy , George J. Pappas

This work presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation…

最优化与控制 · 数学 2007-05-23 Gisela Pujol , Jose Rodellar , Josep M. Rossell

This paper develops a data-driven stabilization method for continuous-time linear time-invariant systems with theoretical guarantees and no need for signal derivatives. The framework, based on linear matrix inequalities (LMIs), is…

最优化与控制 · 数学 2024-11-01 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

In this study, we detail the procedures for designing gain scheduling controllers by Linear Quadratic $H_\infty$ robust optimization methods in Linear Matrix Inequalities (LMI) framework. The controllers are aimed at steering control of the…

最优化与控制 · 数学 2020-10-30 Ali Boyali , Lyu Zheming , Vijay John , Rathour Swarn , Seichi Mita

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

系统与控制 · 计算机科学 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

We present a framework for constructing a structured realization of a linear time-invariant dynamical system solely from a discrete sampling of an input and output trajectory of the system. We estimate the transfer function of the original…

最优化与控制 · 数学 2019-02-15 Elliot Fosong , Philipp Schulze , Benjamin Unger

In this paper, we study the minimal cost constrained input-output (I/O) and control configuration co-design problem. Given a linear time-invariant plant, where a collection of possible inputs and outputs is known a priori, we aim to…

最优化与控制 · 数学 2015-03-17 Sergio Pequito , Soummya Kar , George J. Pappas

This paper addresses the control synthesis of heterogeneous stochastic linear multi-agent systems with real-time allocation of signal temporal logic (STL) specifications. Based on previous work, we decompose specifications into…

系统与控制 · 电气工程与系统科学 2024-09-04 Maico H. W. Engelaar , Zengjie Zhang , Eleftherios E. Vlahakis , Dimos V. Dimarogonas , Mircea Lazar , Sofie Haesaert

Linear time-periodic (LTP) dynamical systems frequently appear in the modeling of phenomena related to fluid dynamics, electronic circuits, and structural mechanics via linearization centered around known periodic orbits of nonlinear…

数值分析 · 数学 2017-06-13 Caleb C. Magruder , Serkan Gugercin , Christopher A. Beattie

This chapter reviews the fundamentals of continuous and discrete Linear Time-Invariant (LTI) systems with Single Input-Single Output (SISO). We start from the general notions of signals and systems, the signal representation problem and the…

最优化与控制 · 数学 2022-08-26 Miguel A. Mendez