Title :
L2-gain computation for nonlinear systems using optimal control algorithms
Author_Institution :
Dept. of Mech. Eng., Iwate Univ., Morioka, Japan
Abstract :
We focus on the computation for the L2-gain of nonlinear systems over a finite horizon. Based on the similarity between L2-gain calculation problems and optimal control problems, we present a new computational algorithm for L2-gain of nonlinear systems. We also prove that accumulation points generated by the algorithm, if they exist, satisfy the necessary conditions for optimality derived from the L2-gain calculation problems. Lastly, the effectiveness of the algorithm is demonstrated through some simulations
Keywords :
Runge-Kutta methods; integration; minimisation; nonlinear control systems; optimal control; L2-gain computation; accumulation points; finite horizon; necessary optimality conditions; nonlinear systems; optimal control algorithms; Approximation algorithms; Computational modeling; Finite difference methods; Mechanical engineering; Nonlinear equations; Nonlinear systems; Optimal control; Performance analysis; Time varying systems; Viscosity;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574375
