Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching
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 performa...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/5308013 |
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| _version_ | 1850223744571670528 |
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| author | Hajer Bouzaouache |
| author_facet | Hajer Bouzaouache |
| author_sort | Hajer Bouzaouache |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5f1f9eafc0b64d518905a4dc693a97a4 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5f1f9eafc0b64d518905a4dc693a97a42025-08-20T02:05:49ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/53080135308013Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled SwitchingHajer Bouzaouache0High Institute of Technological Studies in Communications (ISET’COM), Tunis, TunisiaThis 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.http://dx.doi.org/10.1155/2017/5308013 |
| spellingShingle | Hajer Bouzaouache Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching Complexity |
| title | Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching |
| title_full | Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching |
| title_fullStr | Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching |
| title_full_unstemmed | Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching |
| title_short | Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching |
| title_sort | calculus of variations and nonlinear optimization based algorithm for optimal control of hybrid systems with controlled switching |
| url | http://dx.doi.org/10.1155/2017/5308013 |
| work_keys_str_mv | AT hajerbouzaouache calculusofvariationsandnonlinearoptimizationbasedalgorithmforoptimalcontrolofhybridsystemswithcontrolledswitching |