H-infinity balancing for nonlinear systems
J.M.A. Scherpen, Int. J.
Rob. Nonl. Contr., Vol. 6 (1996) 645-668.
Abstract:
In previously obtained balancing methods for nonlinear systems a past and a future energy
function are used to bring the nonlinear system in balanced form. By considering a
different pair of past and future energy functions that are related to the
H-infinity
control problem for nonlinear systems we define H-infinity balancing.
Furthermore, we investigate
the monotonicity of the Hamilton-Jacobi-Bellman equations that appear in this balancing method.
The method is used as a tool for model reduction.
Keywords: H-infinity balancing, nonlinear systems,
Hamilton-Jacobi equations, model reduction.
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