Calculus of variations and nonlinear optimization based algorithm for optimal control of hybrid systems with controlled switching
type: Item
instance of: scholarly article
title: Calculus of variations and nonlinear optimization based algorithm for optimal control of hybrid systems with controlled switching
zbMATH Open document ID: 1373.49033
DOI: 10.1155/2017/5308013
author: Hajer Bouzaouache
published in: Complexity
publication date: 2017-10-26T00:00:00Z
review text: Summary: This paper investigates the optimal control problem of a particular class of hybrid dynamical systems with controlled switching. Given a prespecified sequence of active subsystems, the objective is to seek both the continuous control input and the discrete switching instants that minimize a performance index over a finite time horizon. Based on the use of the calculus of variations, necessary conditions for optimality are derived. An efficient algorithm, based on nonlinear optimization techniques and numerical methods, is proposed to solve the boundary-value ordinary differential equations. In the case of linear quadratic problems, the two-point boundary-value problems can be avoided which reduces the computational effort. Illustrative examples are provided and stress the relevance of the proposed nonlinear optimization algorithm.
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6798529
zbMATH Keywords: optimal control problem
zbMATH Keywords: hybrid dynamical systems
zbMATH Keywords: controlled switching
zbMATH Keywords: necessary optimality conditions
zbMATH Keywords: boundary-value ordinary differential equations
zbMATH Keywords: nonlinear optimization algorithm
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5308013
OpenAlex ID: W2743366647
cites work: Finite data-rate feedback stabilization of switched and hybrid linear systems
cites work: Q4418862
cites work: Introduction to time-delay systems. Analysis and control
cites work: Optimal control of stochastic hybrid system with jumps: a numerical approximation
cites work: Handbook of Hybrid Systems Control
cites work: Optimal control of switched systems arising in fermentation processes
cites work: Hybrid systems, optimal control and hybrid vehicles. Theory, methods and applications
cites work: Optimal control of switched systems via non-linear optimization based on direct differentiations of value functions
cites work: Optimal Control of Switched Systems Based on Parameterization of the Switching Instants
cites work: Constrained optimal control of switched systems and its application
cites work: Robust constrained control algorithm for general batch processes
cites work: Discovery of the maximum principle
cites work: Q3107916
cites work: Optimal control of hybrid switched systems: a brief survey
cites work: Q4844100
cites work: Q3932576
cites work: Numerical Optimization
description: scientific article; zbMATH DE number 6798529