Title :
A necessary condition for optimal control problem on a class of discontinuous dynamical systems
Author :
Yuhu Wu ; Tielong Shen
Author_Institution :
Dept. of Math., Harbin Univ. of Sci. & Technol., Harbin, China
Abstract :
This paper concerns the optimal control problem for a class of the dynamical systems with the discontinuities. The vector field of the dynamical systems is represented as a combination of linear function and discontinuous sign function of state and control input. By virtue of Filippov regularization process and optimization results for differential inclusion systems, we establish a necessary condition of this discontinuous optimal control problem, which is a generation of classical Pontryagin´s Maximum principle.
Keywords :
maximum principle; optimisation; sampled data systems; vectors; Filippov regularization process; Pontryagin maximum principle; control input; differential inclusion systems; discontinuous dynamical systems; discontinuous optimal control problem; discontinuous sign function; linear function; optimization results; state input; vector field; Differential equations; Equations; Mathematical model; Optimal control; Optimization; Vectors; Differential inclusion; Discontinuous dynamical system; Maximum principle; Optimal control problem;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
DOI :
10.1109/WCICA.2014.7052979
