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Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

系统与控制 · 电气工程与系统科学 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

This paper considers the class of deterministic continuous-time optimal control problems (OCPs) with piecewise-affine (PWA) vector field, polynomial Lagrangian and semialgebraic input and state constraints. The OCP is first relaxed as an…

最优化与控制 · 数学 2012-11-15 M. Rasheed Abdalmoaty , Didier Henrion , Luis Rodrigues

In this paper we introduce an iterative Jacobi algorithm for solving distributed model predictive control (DMPC) problems, with linear coupled dynamics and convex coupled constraints. The algorithm guarantees stability and persistent…

最优化与控制 · 数学 2008-09-23 Dang Doan , Tamas Keviczky , Ion Necoara , Moritz Diehl

We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite resource consumption signals, or persistent perturbations.…

最优化与控制 · 数学 2025-09-23 Pierre Apkarian , Dominikus Noll

In this paper, we propose a distributed model predictive control (DMPC) scheme for linear time-invariant constrained systems which admit a separable structure. To exploit the merits of distributed computation algorithms, the stabilizing…

最优化与控制 · 数学 2018-03-22 Georgios Darivianakis , Annika Eichler , John Lygeros

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

最优化与控制 · 数学 2021-06-17 Donghwan Lee , Do Wan Kim

We consider the class of nonlinear optimal control problems (OCP) with polynomial data, i.e., the differential equation, state and control con- straints and cost are all described by polynomials, and more generally for OCPs with smooth…

最优化与控制 · 数学 2016-08-14 Jean-Bernard Lasserre , Didier Henrion , Christophe Prieur , Emmanuel Trélat

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

最优化与控制 · 数学 2020-06-09 Eyal Weiss , Michael Margaliot

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

最优化与控制 · 数学 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

The notion of strong structural controllability (s-controllability) allows for determining controllability properties of large linear time-invariant systems even when numerical values of the system parameters are not known a priori. The…

最优化与控制 · 数学 2019-02-01 Kumar Yashashwi , Shana Moothedath , Prasanna Chaporkar

In this paper we propose an output-feedback Model Predictive Control (MPC) algorithm for linear discrete-time systems affected by a possibly unbounded additive noise and subject to probabilistic constraints. In case the noise distribution…

系统与控制 · 计算机科学 2014-08-29 Marcello Farina , Luca Giulioni , Lalo Magni , Riccardo Scattolini

In this paper, minimal time and minimal norm control problems are studied. The target sets considered are the origin of state spaces and controls are point-wisely bounded functions. The system stuided in this paper is assumed to have no the…

最优化与控制 · 数学 2016-03-18 Gengsheng Wang , Yubiao Zhang

This paper focuses on synthesizing control policies for discrete-time stochastic control systems together with a lower bound on the probability that the systems satisfy the complex temporal properties. The desired properties of the system…

系统与控制 · 电气工程与系统科学 2020-08-07 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

This note discusses properties of parametric discrete-time Mixed-Integer Optimal Control Problems (MIOCPs) as they often arise in mixed-integer NMPC. We argue that in want for a handle on similarity properties of parametric MIOCPs the…

系统与控制 · 电气工程与系统科学 2020-02-07 Timm Faulwasser , Alexander Murray

We design an model predictive control (MPC) approach for planning and control of non-holonomic mobile robots. Linearizing the system dynamics around the pre-computed reference trajectory gives a time-varying LQ MPC problem. We analytically…

机器人学 · 计算机科学 2022-10-12 Xinjie Liu , Vassil Atanassov

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

机器人学 · 计算机科学 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Given a stable linear time-invariant (LTI) system subject to output constraints, we present a method to compute a set of disturbances such that the reachable set of outputs matches as closely as possible the output constraint set, while…

系统与控制 · 电气工程与系统科学 2023-10-10 Sampath Kumar Mulagaleti , Alberto Bemporad , Mario Zanon

An explicit Model Predictive Control algorithm for large-scale structured linear systems is presented. We base our results on Distributed and Localized Model Predictive Control (DLMPC), a closed-loop model predictive control scheme based on…

最优化与控制 · 数学 2020-05-29 Carmen Amo Alonso , Nikolai Matni , James Anderson

In the past decades, exactly recovering the intrinsic data structure from corrupted observations, which is known as robust principal component analysis (RPCA), has attracted tremendous interests and found many applications in computer…

数值分析 · 计算机科学 2012-05-08 Risheng Liu , Zhouchen Lin , Siming Wei , Zhixun Su