Interval Algorithm for Set-Membership Identification of MIMO LTI System

  • Xiaojun Wang
  • Chen Yang
  • Baochang Zhang
  • Lei Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8032)


Based on the assumption of Unknown-But–Bounded (UBB) noise, an interval algorithm is presented for set-membership parameter identification of a multiple-input multiple-output (MIMO) linear time-invariant (LTI) system. By virtue of interval mathematics, the objective of this study is to seek the minimal interval estimation (or hyper-rectangle) of parameters to be identified, which is compatible with the measured data and the bounded noise. The present algorithm can obtain not only the center estimations of parameters, but also the bounds of errors on them. Numerical example is used to illustrate its small computation efforts and higher accuracy by comparison with Fogel’s ellipsoidal algorithm and the least squares algorithm.


set-membership identification (SMI) linear time-invariant (LTI) system interval algorithm Multi-Input and Multi-Output (MIMO) Unknown-But-Bounded (UBB) 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Xiaojun Wang
    • 1
  • Chen Yang
    • 2
  • Baochang Zhang
    • 3
  • Lei Wang
    • 1
  1. 1.Institute of Solid MechanicsBeihang UniversityBeijingChina
  2. 2.Qian Xuesen Laboratory of Space TechnologyChina Academy of Space TechnologyBeijingChina
  3. 3.School of Automation Science and Electrical EngineeringBeihang UniversityBeijingChina

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