Generalized incremental balanced truncation for nonlinear systems

• The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

Nyckelord

Nonlinear systems

Stability

Anti-symmetric

Balanced truncation

Energy functions

Model reduction

Nonlinear electronic circuits

Reduced order models

Reduction techniques

Stability properties

Control theory

Publikations- och innehållstyp

ref (ämneskategori)

kon (ämneskategori)