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Controllability and Controller-Observer Design for a Class of Linear Time-Varying Systems

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

In this paper a class of linear time-varying control systems is considered. The time variation consists of a scalar time-varying coefficient multiplying the state matrix of an otherwise time-invariant system. Under very weak assumptions of this coefficient, we show that the controllability can be assessed by an algebraic rank condition, Kalman canonical decomposition is possible, and we give a method for designing a linear state-feedback controller and Luenberger observer.

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Authors and Affiliations

  1. The Centre for the Analysis of Risk and Optimisation Modelling Applications (CARISMA), Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK

    Paresh Date

  2. Institute of Financial and Actuarial Mathematics (IFAM), Department of Mathematical Sciences, The University of Liverpool, Liverpool, L69 7ZL, UK

    Bujar Gashi

Authors
  1. Paresh Date
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  2. Bujar Gashi
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Correspondence to Bujar Gashi.

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Date, P., Gashi, B. Controllability and Controller-Observer Design for a Class of Linear Time-Varying Systems. J Math Model Algor 13, 103–112 (2014). https://doi.org/10.1007/s10852-012-9212-6

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  • DOI: https://doi.org/10.1007/s10852-012-9212-6

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