Discontinuous control and simultaneous identification of distributed parameter systems

Yuri Orlov, Joseph Bentsman

Research output: Contribution to journalConference article


This paper presents discontinuous control laws for distributed parameter systems of parabolic and hyperbolic types which yield asymptotic tracking of the output of a reference model. The use of the discontinuity in these control laws permits rejection of input disturbances and ensures robustness with respect to dynamic uncertainties, both with the apriori known norm bounds. It is also demonstrated that unknown plant parameters could be simultaneously identified pointwise through the construction of the auxiliary system. Under the persistently exciting reference input, the time-varying parameters of the auxiliary system converge to plant parameters in L2 and the orthogonal expansions of the former obtained by passing them through the integrator block converge to plant parameters pointwise.

Original languageEnglish (US)
Pages (from-to)4251-4256
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1999
Externally publishedYes
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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