Title :
Snapshot-Based Balanced Truncation for Linear Time-Periodic Systems
Author :
Ma, Zhanhua ; Rowley, Clarence W. ; Tadmor, Gilead
Author_Institution :
MAE Dept., Princeton Univ., Princeton, NJ, USA
Abstract :
We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, linear time-periodic systems. The algorithm is applicable to stable (including neutrally stable) systems with very high dimension, allowing either the output or the input to be very high dimensional, as well. This algorithm is illustrated with a numerical example.
Keywords :
approximation theory; discrete time systems; periodic control; stability; approximate balanced truncation; discrete-time periodic systems; linear time-periodic systems; neutrally stable systems; snapshot based balanced truncation; Computational modeling; Design engineering; Distributed parameter systems; Feedback control; Fluid dynamics; Nonlinear dynamical systems; Nonlinear systems; Orbits; Partial differential equations; Reduced order systems; Balanced truncation; linear time-periodic systems; model reduction;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2036335
