publication . Article . 1999

Balancing related methods for minimal realization of periodic systems

Andras Varga;
Open Access
  • Published: 01 Jan 1999 Journal: Systems & Control Letters, volume 36, pages 339-349 (issn: 0167-6911, Copyright policy)
  • Publisher: Elsevier BV
  • Country: Germany
Abstract
We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free square-root method has the advantage of a potentially better numerical accuracy in case of poorly scaled original systems. The key numerical computation in both methods is the solution of nonnegative periodic Lyapunov equations directly for the Cholesky factors of the solutions. For this purpose, a numerically reliabl...
Subjects
ACM Computing Classification System: MathematicsofComputing_NUMERICALANALYSIS
free text keywords: Control and Systems Engineering, Mechanical Engineering, Electrical and Electronic Engineering, General Computer Science, Robotersysteme, Minimal realization, Lyapunov equation, symbols.namesake, symbols, Square root, Lyapunov function, Cholesky decomposition, Periodic graph (geometry), Linear system, Mathematics, Numerical analysis, Applied mathematics, Control theory
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