Geodesic
Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics
Kybernetika, Tome 50 (2014) no. 1, pp. 5-18.

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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees consistency of the resulting approximations related to the original infinite-dimensional optimization problem and leads to specific implementable algorithms.
DOI : 10.14736/kyb-2014-1-0005
Classification : 49J15, 49J30, 62A10, 93B12, 93E12
Keywords: sliding mode; nonlinear systems; absolute continuous approximations 
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     title = {Optimal control processes associated with a class of discontinuous control systems: {Applications} to sliding mode dynamics},
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Gil García, Arturo Enrique; Azhmyakov, Vadim; Basin, Michael V. Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics. Kybernetika, Tome 50 (2014) no. 1, pp. 5-18. doi : 10.14736/kyb-2014-1-0005. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-1-0005/

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