<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This article presents the usage of a zero-sum differential game to control a nonlinear object, which, in the analysed problem, was a mathematical pendulum. The obtained control was optimal with regard to adopted quality indicator for the worst interference. The two-point boundary value problem was solved numerically by means of the Dircol software application. Numerical solutions, meeting all the necessary optimality conditions, were obtained for different values of the rough parameter and for different values of damping.</p></abstract>

This article presents the usage of a zero-sum differential game to control a nonlinear object, which, in the analysed problem, was a mathematical pendulum. The obtained control was optimal with regard to adopted quality indicator for the worst interference. The two-point boundary value problem was solved numerically by means of the Dircol software application. Numerical solutions, meeting all the necessary optimality conditions, were obtained for different values of the rough parameter and for different values of damping.

Usage of a zero-sum differential game in the optimal control of an object described by a nonlinear model

Institute of Structural Mechanics, Faculty of Civil Engineering

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

This article presents the usage of a zero-sum differential game to control a nonlinear object, which, in the analysed problem, was a mathematical pendulum. The...

Usage of a zero-sum differential game in the optimal control of an object described by a nonlinear model

Publié en ligne: 21 mai 2020

Pages: 109 - 121

Reçu: 17 août 2018

DOI: https://doi.org/10.4467/2353737XCT.18.135.8974

Mots clés
robust control, optimal control, two-point boundary value problem, minimum principle

© 2019 Leszek Mikulski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Usage of a zero-sum differential game in the optimal control of an object described by a nonlinear model

Publié en ligne: 21 mai 2020

Pages: 109 - 121

Reçu: 17 août 2018

DOI: https://doi.org/10.4467/2353737XCT.18.135.8974

Mots clésrobust control, optimal control, two-point boundary value problem, minimum principle

© 2019 Leszek Mikulski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Mots clés
robust control, optimal control, two-point boundary value problem, minimum principle