H ∞ norm computation for LTV systems using nonlinear optimal control algorithms
Title:
H ∞ norm computation for LTV systems using nonlinear optimal control algorithms
Author:
Imae, Joe Wanyoike, Gakio
Appeared in:
International journal of control
Paging:
Volume 63 (1996) nr. 1 pages 161-182
Year:
1996-01-01
Contents:
We discuss the computation for L2-induced norms of finite-horizon linear time-varying systems. It is well known that L2-induced norm calculating problems can be converted into optimal control problems. So, with the help of optimal control algorithms, we propose a numerical technique for L2-induced norm computation. Our approach is as follows. First, we present a new computational method for nonlinear optimal control problems that is numerically reliable, stable and robust, analysing the convergence property under some assumptions. Next, by modifying the presented method, we propose an algorithm for the L2-induced norm calculation of finite-horizon linear time-varying systems, which is essentially different from all other existing methods. Finally, the effectiveness of our algorithm is demonstrated by simulation.
Journal description