Title :
A dynamic programming approach to the approximation of nonlinear L2-gain
Author :
Dower, Peter M. ; Kellett, Christopher M.
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
A generalization of the L2-gain inequality based on nonlinear gains is considered. Using optimization and dynamic programming to characterize lower bounds for the minimal gain function for which this nonlinear L2-gain inequality holds, a technique for computation of nonlinear L2-gain bounds is proposed. Some simple illustrative examples are explored.
Keywords :
approximation theory; control system synthesis; dynamic programming; gain control; nonlinear control systems; approximation theory; dynamic programming approach; minimal gain function; nonlinear L2-gain inequality; optimization; Dynamic programming; Energy measurement; Frequency domain analysis; Frequency measurement; Gain measurement; Linear systems; Nonlinear equations; Nonlinear systems; Riccati equations; Stability; L2-gain analysis; dynamic programming; nonlinear systems; optimization;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738990
