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The authors state necessary conditions for neighboring optimal solutions to optimal control problems in which the state variables are subject to an inequality constraint on a function of state variables ... We obtain various versions of the maximum principle for the class under consideration. ...
The problem of constrained coverage path planning involves a robot trying to cover maximum area of an environment under some constraints that appear as obstacles in the map. ... Out of the several coverage path planning methods, we consider augmenting the linear sweep-based coverage method to achieve minimum energy/ time optimality along with maximum area coverage. ... Workload Debasmit: Pseudo-Spectral Control, Cost Formulation/Analysis Pranay: Heuristic Planning,Cost Modification and Simulation Ankit: Algorithm -Development,Simulation and Implementation ...arXiv:1708.03055v1 fatcat:ff3fymidazgqpgkdgae4ioe3yu
In this paper, we introduce a survey of the numerical methods for solving the optimal control problem. ... We propose the dynamic optimization sweeping algorithm for optimal control of the active queue management. ... CONCLUSION There are several approaches to handle the optimal control problem. We have proposed a dynamic optimization sweeping methods for solving the optimal control of AQM model. ...doi:10.9717/kmms.2015.18.11.1375 fatcat:ywv4hslbsrbghbl3hawevffvza
B. (1-SC) Maximum principle for the optimal control of systems with continuous leads. J. Optim. Theory Appl. 69 (1991), no. 2, 343-350. ... Dariusz Zagrodny (PL-PLDZ) 92i:49037 49K20 93C20 Hoffmann, A. [Hoffmann, Armin] (D-ILTU) Pointwise optimality criteria for optimal control problems governed by integral state relations. II. Wiss. Z. ...
Low Carbon Economy
of that this method is very useful to make a benchmark for hybrid electric city buses fuel economy and to judge the effectiveness and improve real-time control strategies. ... In this paper a global optimization method (dynamic programming) is used to find the optimal power management in hybrid electric city bus for the objective to reduce the fuel consumption. ... Problem Formulation In this paper we seek to find the optimal power split between engine and electric motor in HEV in order to achieve minimum fuel consumption, this is a problem of optimal control; for ...doi:10.4236/lce.2013.41005 fatcat:nqen44go7jaeldrrexkqjfsb34
The remaining or nonsingular control is obtained by application of the discrete maximum principle.” 8097 Khatri, Hiralal C. 8098 Sufficient conditions for optimal control of a class of distributed systems ... Author’s summary: “Optimal control of distributed systems is investigated for the case where the controller is a function of time only, and where the state variable is to be controlled at a specific point ...
2012 IEEE Power and Energy Society General Meeting
Based on the necessary conditions for optimality from the Pontryagin maximum principle, a sweeping method is proposed, and an optimal state-feedback control rule is then obtained via backward induction ... The repeated bidding process in (hourly-based) real-time electricity markets is modeled as a dynamic feedback system; an optimal control problem is then formulated to explore individual generator's long-term ... Based on the necessary conditions for optimality from the Pontryagin maximum principle, a sweeping method is proposed, and an optimal state-feedback control rule is then obtained via backward induction ...doi:10.1109/pesgm.2012.6344662 fatcat:5mdcyyo5erbu3mk5nzjl5teez4
Based on the necessary conditions for optimality from the Pontryagin maximum principle, a sweeping method is proposed, and an optimal state-feedback control rule is then obtained via backward induction ... The repeated bidding process in (hourly-based) real-time electricity markets is modeled as a dynamic feedback system; an optimal control problem is then formulated to explore individual generator's long-term ... Based on the necessary conditions for optimality from the Pontryagin maximum principle, a sweeping method is proposed, and an optimal state-feedback control rule is then obtained via backward induction ...doi:10.1109/tpwrs.2006.876701 fatcat:tozjplup55c55no4fadx5is5oy
Journal of Aircraft
The optimal shape of flying wings for subsonic and transonic speeds is examined using a suite of tools developed around a three-dimensional, time-spectral Euler computational fluid dynamics solver. ... In each case, the design space of the problem is explored using both planform and shape variables to determine the optimal shape. ... Alonso for their assistance at various stages of this project. We would also like thank Gaetan Kenway for his contributions to the development of the adjoint solver used in this work. ...doi:10.2514/1.c031956 fatcat:baqpnt4nybgblnhugbvfsp2mqm
We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. ... In the continuous case, we derive augmented PDEs of optimal control, which are then solved numerically on the extended state space with a full/instantaneous budget reset on the preferred subset. ... Landa, whose work on visibility and surveillance-evasion problems (joint with Ryo Takei) served as a starting point for this paper. ...doi:10.1137/110853182 fatcat:zgf6tcl3yvb65k3tgcyphqdmli
Submitted by Richard Bellman The "successive sweep method" by McReynolds and Bryson [l] is an iterative algorithm for obtaining solutions to optimal control problems. ... A similar algorithm was developed independently by Mitter . Both algorithms extend Merriam's second order relaxation method ,  to optimal control problems with side contraints. ... For the purpose of this problem, the rocket is constrained to a plane. ...doi:10.1016/0022-247x(67)90012-1 fatcat:af4axy2qnzapxpu4kcbkpizkqu
These methods in optimal control are based on Hamiltonian function and the Pontryagin's maximum principle to construct adjoint equations and optimality systems. ... The forward-backward sweep numerical scheme with fourth-order Runge-Kutta method is used to solve the optimality system for the various control strategies. ... These methods are based on the Pontryagin's maximum principle and Hamiltonian function to construct adjoint equations and optimality systems for optimal control problems. ...arXiv:1908.07974v2 fatcat:ynvx6okba5atzp3ejxnetdnsd4
We considered the problem where the state is allowed to move freely within a band. This led to an optimal control problem with control and state constraints. ... Abstract -State Constrained Optimal Control Applied to Supervisory Control in HEVs -The optimization of the supervisory control of hybrid electric vehicles over predetermined driving cycles has been used ... Optimal Control Problem Statement Find a piecewise continuous control u that maximizes: (7) subject to: PONTRYAGIN'S MAXIMUM PRINCIPLE Hamiltonians The set of constraints is the following: Note that ...doi:10.2516/ogst/2009040 fatcat:cgy2z6iva5fklgpvlapy5veg44
The solution technique uses Pontryagin's Maximum Principle and the forward-backward sweep algorithm (and its modifications) for numerical computations. ... We formulate an optimal control problem for optimizing a net reward function, a linear combination of the reward due to information spread and cost due to application of controls. ... Solution by Pontryagin's Maximum Principle (Given Seed i 0 ) The optimal solution to Problem (2) (where seed i 0 is given) satisfies the conditions stated by Pontryagin's Maximum Principle. ...doi:10.1109/tnet.2015.2512541 fatcat:vy3y4n3yzzdbvadb475a7tkrqa
The solution employs Pontryagin's Minimum Principle and a modified version of forward backward sweep technique for numerical computation to accommodate the isoperimetric budget constraint. ... We show the existence of a solution to the optimal control problem when the campaigning incurs non-linear costs under the isoperimetric budget constraint. ... We solve the optimal control problem using Pontryagin's Minimum Principle and a modified version of forward backward sweep technique for numerical computation, to accommodate the isoperimetric budget constraint ...doi:10.1016/j.cnsns.2014.04.022 fatcat:m24pw4ifvfaodgt4uminux6gdu
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