Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements

Zigang Pan, M Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We address the worst-case adaptive controller design problem for uncertain single-input single-output linear systems with noisy output measurements, under the assumption that the (parametrically) unknown system is minimum phase with a known relative degree and unknown high-frequency gain of known sign. We first formulate this adaptive control problem as a nonlinear H control problem with imperfect state measurements, which then directly addresses transient performance and robustness of adaptive control systems. Then, by utilizing cost-to-come function analysis and integrator backstepping methodology, we derive explicit expressions for the worst-case adaptive controllers. Using a soft projection technique, we guarantee the bounded-input bounded-output property of the closed-loop system with respect to exogenous disturbance inputs without any assumption of persistency of excitation of the reference signal.

Original languageEnglish (US)
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3845-3850
Number of pages6
ISBN (Electronic)9783952426906
StatePublished - Apr 8 1997
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: Jul 1 1997Jul 4 1997

Publication series

NameECC 1997 - European Control Conference

Other

Other4th European Control Conference, ECC 1997
CountryBelgium
CityBrussels
Period7/1/977/4/97

Fingerprint

Linear systems
Adaptive control systems
Controllers
Backstepping
Robustness (control systems)
Closed loop systems
Costs

Keywords

  • Linear uncertain systems
  • Nonlinear H control
  • Robust adaptive control
  • Worst-case identification

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Pan, Z., & Basar, M. T. (1997). Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements. In ECC 1997 - European Control Conference (pp. 3845-3850). [7082717] (ECC 1997 - European Control Conference). Institute of Electrical and Electronics Engineers Inc..

Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements. / Pan, Zigang; Basar, M Tamer.

ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., 1997. p. 3845-3850 7082717 (ECC 1997 - European Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pan, Z & Basar, MT 1997, Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements. in ECC 1997 - European Control Conference., 7082717, ECC 1997 - European Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 3845-3850, 4th European Control Conference, ECC 1997, Brussels, Belgium, 7/1/97.
Pan Z, Basar MT. Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements. In ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc. 1997. p. 3845-3850. 7082717. (ECC 1997 - European Control Conference).
Pan, Zigang ; Basar, M Tamer. / Adaptive controller design and disturbance attenuation for siso linear systems with noisy output measurements. ECC 1997 - European Control Conference. Institute of Electrical and Electronics Engineers Inc., 1997. pp. 3845-3850 (ECC 1997 - European Control Conference).
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