Title :
A technique for the calculation of optimal control laws for second order nonlinear differential systems with boundary values
Author :
Cheng, Dan S. ; Stubberud, Allen R.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA, USA
Abstract :
The problem of obtaining an optimal control law for a class of nonlinear second order differential control systems with boundary values and a nonlinear cost functional is considered. A combined technique using the calculus of variations and a finite element method for solving the problem is discussed. This technique generates a unique global optimal solution for certain classes of systems and cost functionals. A numerical method for obtaining the solution is investigated. The techniques developed are demonstrated through several examples
Keywords :
boundary-value problems; control system synthesis; finite element analysis; functional equations; multidimensional systems; nonlinear control systems; nonlinear differential equations; optimal control; variational techniques; boundary values; calculus of variations; finite element method; nonlinear cost functional; nonlinear second order differential control systems; numerical method; optimal control laws; unique global optimal solution; Algorithm design and analysis; Calculus; Control systems; Convergence of numerical methods; Cost function; Feedback control; Laplace equations; Nonlinear control systems; Optimal control;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325927
