Combined homotopy and neighboring extremal optimal control
نویسندگان
چکیده
منابع مشابه
A Neighboring Extremal Solution for Optimal Switched Impulsive Control Problems with Large Perturbations
This paper presents an approach to compute the neighboring extremal solution for an optimal switched impulsive control problem with a pre-specified sequence of modes and a large perturbation in the initial state. The decision variables – the subsystem switching times and the control parameters – are subject to inequality constraints. Since the active status of these inequality constraints may c...
متن کاملSolving The Optimal Control Problems Using Homotopy Perturbation Transform Method
Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...
متن کاملOvercoming Singularity and Degeneracy in Neighboring Extremal Solutions of Discrete-Time Optimal Control Problem with Mixed Input-State Constraints
Neighboring Extremal Optimal approach is effective in solving optimal control problems through approximation. Under certain conditions, a matrix involved in the calculation of optimal control approximation can become singular, leading to a technical difficulty in the application of the approach. These situations may include the cases when a constraint depends only on the states but not the inpu...
متن کاملQuantum Gate and Quantum State Preparation through Neighboring Optimal Control
Title of dissertation: QUANTUM GATE AND QUANTUM STATE PREPARATION THROUGH NEIGHBORING OPTIMAL CONTROL Yuchen Peng, Doctor of Philosophy, 2016 Dissertation directed by: Dr. Frank Gaitan Laboratory for Physical Sciences Professor Victor Yakovenko Department of Physics Successful implementation of fault-tolerant quantum computation on a system of qubits places severe demands on the hardware used t...
متن کاملOn the Equivalence between Neighboring-Extremal Control and Self-Optimizing Control for the Steady-State Optimization of Dynamical Systems
The problem of steering a dynamical system toward optimal steady-state performance is considered. For this purpose, a static optimization problem can be formulated and solved. However, because of uncertainty, the optimal steady-state inputs can rarely be applied directly in an open-loop manner. Instead, plant measurements are typically used to help reach the plant optimum. This paper investigat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optimal Control Applications and Methods
سال: 2016
ISSN: 0143-2087,1099-1514
DOI: 10.1002/oca.2253