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

Riyanto T. Bambang; E. Shimemura; Kenko Uchida

doi:10.1109/CCA.1992.269862

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

Riyanto T. Bambang, E. Shimemura, Kenko Uchida

Waseda Research Institute for Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	281-286
Number of pages	6
ISBN (Electronic)	0780300475, 9780780300477
DOIs	https://doi.org/10.1109/CCA.1992.269862
Publication status	Published - 1992 Jan 1
Event	1st IEEE Conference on Control Applications, CCA 1992 - Dayton, United States Duration: 1992 Sept 12 → 1992 Sept 16

Publication series

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

Conference

Conference	1st IEEE Conference on Control Applications, CCA 1992
Country/Territory	United States
City	Dayton
Period	92/9/12 → 92/9/16

ASJC Scopus subject areas

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

Access to Document

10.1109/CCA.1992.269862

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 proceeding › Conference 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). doi: 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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