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Scholarpedia, 2008 Optimal control is the process of determining control and state trajectories for a dynamic system over a period of time to minimise a performance index.
V. Becerra
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Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control [PDF]
PRX Quantum, 2020 Optimal Control Theory is a powerful mathematical tool, which has known a rapid development since the 1950s, mainly for engineering applications. More recently, it has become a widely used method to improve process performance in quantum technologies by ...
U. Boscain, M. Sigalotti, D. Sugny
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Optimal Control of Manipulator
The Bulletin of Irkutsk State University. Series Mathematics, 2022 When solving the problem of optimal performance for manipulative robots, the scientific team headed by F. L. Chernousko actively uses the Pontryagin maximum principle. The application of the maximum principle is complicated by the nonlinearities of controlled systems of manipulation robots.
Y. F. Dolgii, I. А. Chupin
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Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
, 2020 This book presents practical methods for solving real optimal control problems and focuses on the direct transcription method for optimal control.
J. Betts
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Optimal control and inverse optimal control by distribution matching [PDF]
2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2016 Optimal control is a powerful approach to achieve optimal behavior. However, it typically requires a manual specification of a cost function which often contains several objectives, such as reaching goal positions at different time steps or energy efficiency.
Arenz, O., Abdulsamad, H., Neumann, G.
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Localized LQR Optimal Control [PDF]
, 2014 This paper introduces a receding horizon like control scheme for localizable distributed systems, in which the effect of each local disturbance is limited spatially and temporally. We characterize such systems by a set of linear equality constraints, and
Doyle, John C. +2 more
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Crocoddyl: An Efficient and Versatile Framework for Multi-Contact Optimal Control [PDF]
IEEE International Conference on Robotics and Automation, 2019 We introduce Crocoddyl (Contact RObot COntrol by Differential DYnamic Library), an open-source framework tailored for efficient multi-contact optimal control.
Carlos Mastalli +8 more
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Existence of optimal control for multi-order fractional optimal control problems [PDF]
Archives of Control Sciences, 2022 In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with
Rafał Kamocki
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Optimization and Optimal Control [PDF]
, 2003 Extragradient Approach to the Solution of Two Person Non-Zero Sum Games (A Antipin) Nonlinear Phenomena in Economics (S Budnyam) On Some Theory, Methods and Algorithms for Concave Programming (R Enkhbat) Maximum Clique Regularizations (D Fortin & I Tseveendorj) The Role of Optimization in Economics (D W Katzner) A Global Optimization Approach to ...
Panos M Pardalos +2 more
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Asymptotic controllability and optimal control [PDF]
, 2012 We consider a control problem where the state must reach asymptotically a target while paying an integral payoff with a non-negative Lagrangian. The dynamics is just continuous, and no assumptions are made on the zero level set of the Lagrangian. Through
Motta, Monica, Rampazzo, Franco
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