Realization, design and implementation of row-pseudoproper left matrix fraction descriptions with impulsive modes

J. S.H. Tsai, W. S. Chen, L. S. Shieh

Research output: Contribution to journalArticlepeer-review

Abstract

A novel and minimal realization algorithm is proposed for determining generalized state-space representation from a so-called row-pseudoproper left matrix fraction description (LMFD). The realized system with the state-space representation form is proved to be controllable and observable in the sense of [1,2] if the given row-pseudoproper MFD is left coprime. Besides, the proposed state feedback control law not only satisfies the optimal regional-pole-placement design for the realized generalized dynamical system, but also eliminates the impulsive terms in the state response of the closed-loop system. For practical consideration, an equivalent input-output feedback structure of the designed state-feedback controller is adopted. Based on the cascaded and/or parallel active RC networks with better sensitivity and stability properties, the resulting structure of the equivalent input-output feedback controller can be readily implemented based on proper subsystems.

Original languageEnglish
Pages (from-to)13-41
Number of pages29
JournalComputers and Mathematics with Applications
Volume28
Issue number7
DOIs
Publication statusPublished - 1994 Oct

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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