Analytical Approximation Method for the Center Manifold in the Nonlinear Output Regulation Problem

Conference Paper (international conference)

Suzuki H., Sakamoto N., Čelikovský Sergej

serial: Proceedings of the 47th IEEE Conference on Decision and Control

action: 47th IEEE Conference on Decision and Control, (Cancum, MX, 09.12.2008-11.12.2008)

research: CEZ:AV0Z10750506

keywords: approximate methods, nonlinear systems, output regulation

abstract (eng):

In nonlinear output regulation problems, it is necessary to solve the so-called regulator equations consisting of a partial differential equation and an algebraic equation. It is known that, for the hyperbolic zero dynamics case, solving the regulator equations is equivalent to calculating a center manifold for zero dynamics of the system. The present paper proposes a successive approximation method for obtaining center manifolds and shows its effectiveness by applying it for an inverted pendulum example.

abstract (cze):

Je prezentována analytická přibližná metoda centrální variety, která je klíčová při řešení problému nelineární regulace výstupu. Metoda je ověřena na praktických příkladech

RIV: BC