Details

Autor(en) / Beteiligte

• Minh, Ha Binh
• Minh, Chu Binh
• Sreeram, Victor

Titel

Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems

Ist Teil von

• Acta mathematica vietnamica, 2017-12, Vol.42 (4), p.615-635

Ort / Verlag

Singapore: Springer Singapore

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.