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Worst-Case Identification Using Quantized Observations

  • Le Yi Wang
  • G. George Yin
  • Ji-Feng Zhang
  • Yanlong Zhao
Chapter
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

In this chapter, the parameter identification problem under unknown-butbounded disturbances and quantized output sensors is discussed. In Chapter 9, an input sequence in (9.5) was used to generate observation equations in which only one parameter appears, reducing the problem to the identification of gain systems. A more general input design method is introduced in this chapter to achieve parameter decoupling that transforms a multiparameter model into a single-parameter model. The input sequence with the shortest length that accomplishes parameter decoupling is sought. Identification algorithms are introduced, and their convergence, convergence rates, and time complexity for achieving a predefined estimation accuracy are investigated.

Keywords

Time Complexity Input Sequence Observation Equation Target Output Optimal Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  1. [111]
    L.Y. Wang, J.F. Zhang, and G. Yin, System identification using binary sensors, IEEE Trans. Automat. Control, 48 (2003), 1892–1907.CrossRefMathSciNetGoogle Scholar
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    M. Casini, A. Garulli, and A. Vicino, Time complexity and input design in worst-case identification using binary sensors, in Proc. 46th IEEE Conf. Decision Control, 5528–5533, 2007.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Le Yi Wang
    • 1
  • G. George Yin
    • 2
  • Ji-Feng Zhang
    • 3
  • Yanlong Zhao
    • 3
  1. 1.Department of Electrical and Computer EngineeringWayne State UniversityDetroitUSA
  2. 2.Department of MathematicsWayne State UniversityDetroitUSA
  3. 3.Key Laboratory of Systems and Control, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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