Journal Article

Identification of a class of hybrid systems

M. De la Sen

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 20, issue 3, pages 233-261
Published in print September 2003 | ISSN: 0265-0754
Published online September 2003 | e-ISSN: 1471-6887 | DOI:
Identification of a class of hybrid systems

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This paper deals with the problem of on‐line identification of a class of single‐input single‐output time‐invariant hybrid plant which can operate under bounded disturbances and/or unmodelled dynamics. The hybrid plant dealt with is composed of two subsystems one being of continuous‐time type while the other is digital. An input–output model is first designed involving filtered signals for the hybrid plant from an initial state‐space description. Such a model is simultaneously driven by the standard continuous‐time input plus an extra signal. The extra input is composed for all time of a signal which involves the contribution of the input and output over a finite number of previous sampling instants plus a signal which involves the contribution of the weighted integral of the continuous‐time input on a set of preceding sampling intervals. The above last driving signal is due to the existing couplings between the continuous‐time and digital substates of the hybrid plant. A relative adaptation dead zone is used in the parameter estimation scheme whose role is the robust adaptive stabilization under uncertainties and bounded noise. The parametrical identification is asymptotically achieved in the absence of noise and unmodelled dynamics provided that the plant is controllable and exponentially stable and that the input satisfies a standard condition of persistence of excitation.

Keywords: estimation schemes; hybrid systems; identification; unmodelled dynamics

Journal Article.  0 words. 

Subjects: Mathematics

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