An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints

Riyanto T. Bambang, E. Shimemura, Kenko Uchida

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

1 Citation (Scopus)

Abstract

In this paper an iterative procedure is developed for synthesizing mixed H 2 /H robust controllers that satisfy output variance constraints. In this synthesis problem, we seek control-laws for linear systems that minimize an upperbound on a quadratic performance subject to both H -norm and output variance constraints under the presence of structured uncertainties. The approach taken in this paper is to convert the problem into an equivalent nonlinear programming with both equality and inequality constraints. Kuhn Tucker optimality condition is employed in order to obtain first order necessary condition for a regular point that minimizes an upperbound on quadratic performance for the given H -norm and variance constraints. Based on this condition, an iterative algorithm for synthesizing the controllers is developed. To demonstrate the effectiveness of the algorithm, an illustrative example is presented. Dual problem that imposes constraints on input variance, is also discussed.

Original languageEnglish
Title of host publicationProceedings of the 1st IEEE Conference on Control Applications, CCA 1992
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages281-286
Number of pages6
ISBN (Electronic)0780300475, 9780780300477
DOIs
Publication statusPublished - 1992 Jan 1
Event1st IEEE Conference on Control Applications, CCA 1992 - Dayton, United States
Duration: 1992 Sep 121992 Sep 16

Publication series

NameProceedings of the 1st IEEE Conference on Control Applications, CCA 1992

Conference

Conference1st IEEE Conference on Control Applications, CCA 1992
CountryUnited States
CityDayton
Period92/9/1292/9/16

Fingerprint

Controller
Controllers
Nonlinear programming
Linear systems
Structured Uncertainty
Kuhn-Tucker Conditions
Minimise
Norm
Order Conditions
Output
Equality Constraints
Dual Problem
Iterative Procedure
Optimality Conditions
Inequality Constraints
Nonlinear Programming
Iterative Algorithm
Convert
Linear Systems
Synthesis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Optimization
  • Computer Science (miscellaneous)
  • Control and Systems Engineering
  • Aerospace Engineering
  • Industrial and Manufacturing Engineering

Cite this

Bambang, R. T., Shimemura, E., & Uchida, K. (1992). An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints In Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992 (pp. 281-286). [269862] (Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCA.1992.269862

An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints . / Bambang, Riyanto T.; Shimemura, E.; Uchida, Kenko.

Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992. Institute of Electrical and Electronics Engineers Inc., 1992. p. 281-286 269862 (Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992).

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

Bambang, RT, Shimemura, E & Uchida, K 1992, An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints in Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992., 269862, Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992, Institute of Electrical and Electronics Engineers Inc., pp. 281-286, 1st IEEE Conference on Control Applications, CCA 1992, Dayton, United States, 92/9/12. https://doi.org/10.1109/CCA.1992.269862
Bambang RT, Shimemura E, Uchida K. An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints In Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992. Institute of Electrical and Electronics Engineers Inc. 1992. p. 281-286. 269862. (Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992). https://doi.org/10.1109/CCA.1992.269862
Bambang, Riyanto T. ; Shimemura, E. ; Uchida, Kenko. / An algorithm for mixed H 2 /H robust controllers that satisfy variance constraints Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 281-286 (Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992).
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