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Gramian-Based Model Reduction for Descriptor Systems

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Abstract

Model reduction is of fundamental importance in many control applications. We consider model reduction methods for linear time-invariant continuous-time descriptor systems. These methods are based on the balanced truncation technique and closely related to the controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving generalized Lyapunov equations with special right-hand sides. Numerical examples are given.

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Correspondence to Tatjana Stykel.

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Date received: January 17, 2002. Date revised: May 24, 2003. Supported by Deutsche Forschungsgemeinschaft, Research Grant ME 790/12-1.

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Stykel, T. Gramian-Based Model Reduction for Descriptor Systems. Math. Control Signals Systems 16, 297–319 (2004). https://doi.org/10.1007/s00498-004-0141-4

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  • DOI: https://doi.org/10.1007/s00498-004-0141-4

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