Computation for Nonlinear Balancing
Abstract
This paper illustrates a computational approach to practical nonlinear balancing via the forced damped pendulum example. The authors have illustrated a computational approach for practical implementation of Scherpen's nonlinear balancing procedure via application to the forced damped pendulum system. A Monte-Carlo approach provides an estimate of the controllability energy function. The observability energy function is computed via numerical integration and also is suitable as an empirical method. Numerical implementation of the Morse-Palais lemma is achieved using a successive approximation algorithm for an operator square root which appears in Palais' proof. The corresponding convergence criterion gives an estimate of the neighborhood in which the given function is locally quadratic. The balanced realization for the pendulum system results in one state having roughly double the input-output influence as the other state.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1998
- Accession Number
- ADA439664
Entities
People
- Andrew J. Newman
- P.S.Krishnaprasad
Organizations
- University of Maryland