Disturbance attenuating adaptive controllers for parametric strict feedback nonlinear systems with output measurements

Egemen E. Tezcan, Tamer Başar

Research output: Contribution to journalArticlepeer-review

Abstract

We present a systematic procedure for designing H"-optimal adaptive controllers for a class of single-input single-output parametric strict-feedback nonlinear systems that are in the output-feedback form. The uncertain nonlinear system is minimum phase with a known relative degree and known sign of the high-frequency gain. We use soft projection on the parameters to keep them bounded in the absence of persistent excitations. The objective is to obtain disturbance attenuating output-feedback controllers which will track a smooth bounded trajectory and keep all closed-loop signals bounded in the presence of exogenous disturbances. Two recent papers (Pan and Baar, 1996a; Marino and Tomei, 1995) addressed a similar problem with full state information, using two different approaches, and obtained asymptotically tracking and disturbance-attenuating adaptive controllers. Here, we extend these results to the output measurement case for a class of minimum phase nonlinear systems where the nonlinearities depend only on the measured output. It is shown that arbitrarily small disturbance attenuation levels can be obtained at the expense of increased control effort. The backstepping methodology, cost-to-come function based H-filtering and singular perturbations analysis constitute the framework of our robust adaptive control design scheme.

Original languageEnglish (US)
Pages (from-to)48-57
Number of pages10
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume121
Issue number1
DOIs
StatePublished - Mar 1999

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

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