Title :
Optimization of nonlinear time-varying systems
Author :
Lyshevski, Sergey Edward
Author_Institution :
Dept. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
The goal of the paper is to develop a straightforward constrained optimization concept to solve nonlinear control problems for time-varying continuous-time systems. To find the closed-loop solution of the constrained optimization problem, the Hamilton-Jacobi theory is used, and an innovative conceptual framework is researched applying a nonquadratic performance functional to synthesize the bounded control laws. Nonquadratic return functions are used to solve the Hamilton-Jacobi-Bellman partial differential equation. The method developed is demonstrated through illustrative examples
Keywords :
closed loop systems; continuous time systems; functional equations; nonlinear control systems; optimisation; partial differential equations; time-varying systems; Hamilton-Jacobi theory; Hamilton-Jacobi-Bellman partial differential equation; closed-loop solution; constrained optimization concept; nonlinear time-varying systems; nonquadratic performance functional; nonquadratic return functions; time-varying continuous-time systems; Constraint optimization; Constraint theory; Control system synthesis; Control systems; Cost function; Nonlinear control systems; Optimal control; State feedback; Time varying systems; USA Councils;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758558
