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Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems
Ha Binh Minh
,
Chu Binh Minh
,
Victor Sreeram
Abstract
In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.