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Conference Paper (international conference)

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

Suzuki H., Sakamoto N., Čelikovský Sergej

: Proceedings of the 47th IEEE Conference on Decision and Control, p. 1163-1168

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

: CEZ:AV0Z10750506

: approximate methods, nonlinear systems, output regulation

(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.

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

: BC