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This paper introduces a novel time-freezing reformulation and numerical methods for optimal control of complementarity Lagrangian systems (CLS) with state jumps. We cover the difficult case when the system evolves on the boundary of the…

最优化与控制 · 数学 2023-07-18 Armin Nurkanović , Sebastian Albrecht , Bernard Brogliato , Moritz Diehl

The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with separately controlled perturbations. This problem can be reduced…

最优化与控制 · 数学 2015-12-01 Tan H. Cao , Boris S. Mordukhovich

Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems with finite number of unknown switching points and reformulate…

最优化与控制 · 数学 2025-05-28 Saif R. Kazi , Kexin Wang , Lorenz T. Biegler

We consider the feedback design for stabilizing a rigid body system by making and breaking multiple contacts with the environment without prespecifying the timing or the number of occurrence of the contacts. We model such a system as a…

系统与控制 · 计算机科学 2019-05-16 Weiqiao Han , Russ Tedrake

The paper investigates a new hybrid synchronization called modified hybrid synchronization (MHS) via the active control technique. Using the active control technique, stable controllers which enable the realization of the coexistence of…

最优化与控制 · 数学 2022-03-30 K. S. Ojo , S. T. Ogunjo , I. A. Fuwape

Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory is applied to these systems and a hybrid version of Pontryagin's maximum principle is presented. This…

最优化与控制 · 数学 2021-11-24 William Clark , Maria Oprea , Andrew J. Graven

This paper considers the problem of real-time mode scheduling in linear time-varying switched systems subject to a quadratic cost functional. The execution time of hybrid control algorithms is often prohibitive for real-time applications…

最优化与控制 · 数学 2017-09-04 Anastasia Mavrommati , Jarvis A. Schultz , Todd D. Murphey

We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and resets. By "prescribed-time stability", we refer to the…

最优化与控制 · 数学 2023-09-01 Daniel E. Ochoa , Nicolas Espitia , Jorge I. Poveda

Hybrid dynamical systems are systems which posses both continuous and discrete transitions. Assuming that the discrete transitions (resets) occur a finite number of times, the optimal control problem can be solved by gluing together the…

最优化与控制 · 数学 2024-03-20 William Clark , Maria Oprea , Aden Shaw

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

最优化与控制 · 数学 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

This paper studies optimal time-bounded control in multi-mode systems with discrete costs. Multi-mode systems are an important subclass of linear hybrid systems, in which there are no guards on transitions and all invariants are global.…

计算机科学中的逻辑 · 计算机科学 2017-06-30 Mahmoud A. A. Mousa , Sven Schewe , Dominik Wojtczak

We present a numerically tractable formulation for computing the optimal control of the class of hybrid dynamical systems whose trajectories are continuous. Our formulation, an extension of existing relaxed-control techniques for switched…

最优化与控制 · 数学 2016-05-26 Tyler Westenbroek , Humberto Gonzalez

We present a three-step method to perform system identification and optimal control of non-linear systems. Our approach is mainly data driven and does not require active excitation of the system to perform system identification. In…

系统与控制 · 电气工程与系统科学 2020-09-16 Baptiste Schubnel , Rafael E. Carrillo , Pierre-Jean Alet , Andreas Hutter

This paper deals with time-optimal control of nonlinear continuous-time systems based on direct collocation. The underlying discretization grid is variable in time, as the time intervals are subject to optimization. This technique differs…

系统与控制 · 电气工程与系统科学 2020-05-26 Christoph Rösmann , Artemi Makarow , Torsten Bertram

This article presents a highly efficient optimal control algorithm and policies for lyophilization (also known as freeze drying). The optimal solutions and control policies are derived using an extended version of the simulation-based…

最优化与控制 · 数学 2025-09-16 Prakitr Srisuma , Richard D. Braatz

We present a novel reformulation of nonsmooth differential equations with state jumps which enables their easier simulation and use in optimal control problems without the need of using integer variables. The main idea is to introduce an…

最优化与控制 · 数学 2020-06-11 Armin Nurkanović , Tommaso Sartor , Sebastian Albrecht , Moritz Diehl

In this paper, we propose an approach to controller synthesis for a class of constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid abstraction of the nonlinear dynamics. This abstraction is defined on a…

系统与控制 · 计算机科学 2011-09-13 Antoine Girard , Samuel Martin

Correlated with the trend of increasing degrees of freedom in robotic systems is a similar trend of rising interest in Spatio-Temporal systems described by Partial Differential Equations (PDEs) among the robotics and control communities.…

机器人学 · 计算机科学 2021-02-19 Ethan N. Evans , Andrew P. Kendall , Evangelos A. Theodorou

Many Embedded Systems are indeed Software Based Control Systems, that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches…

系统与控制 · 计算机科学 2012-07-18 Vadim Alimguzhin , Federico Mari , Igor Melatti , Ivano Salvo , Enrico Tronci

A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The problems of well-posedness and stability of the resulting hybrid dynamical system are…

系统与控制 · 电气工程与系统科学 2021-05-31 Alfonso Baños , Antonio Barreiro
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