Synthesis of optimal H controllers via LQG-based loop shaping design

Ciann Dong Yang, Chia Yuan Chang, Yun Ping Sun

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, synthesis of optimal H controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a flat frequency response of the largest singular value. Weighted H2 optimization technique used in LQG/LTR is exploited in the loop shaping procedures to generate a sequence of H2 controllers converging to the optimal H controller. The resulting optimal H controller not only has the inherent robust property due to H criterion but also possesses the nice H2 control structure, being easy to compute and implement. A flight control example is demonstrated to show that the numerical accuracy of the present LQG-based H synthesis is comparable to the conventional H approach, i.e., γ-iteration.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Publication statusPublished - 1996 Dec 1
EventProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn
Duration: 1996 Dec 111996 Dec 13

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume1
ISSN (Print)0191-2216

Other

OtherProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
CityKobe, Jpn
Period96-12-1196-12-13

Fingerprint

Controllers
Frequency response

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Yang, C. D., Chang, C. Y., & Sun, Y. P. (1996). Synthesis of optimal H controllers via LQG-based loop shaping design. In Anon (Ed.), Proceedings of the IEEE Conference on Decision and Control (Proceedings of the IEEE Conference on Decision and Control; Vol. 1).
Yang, Ciann Dong ; Chang, Chia Yuan ; Sun, Yun Ping. / Synthesis of optimal H controllers via LQG-based loop shaping design. Proceedings of the IEEE Conference on Decision and Control. editor / Anon. 1996. (Proceedings of the IEEE Conference on Decision and Control).
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Yang, CD, Chang, CY & Sun, YP 1996, Synthesis of optimal H controllers via LQG-based loop shaping design. in Anon (ed.), Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, vol. 1, Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4), Kobe, Jpn, 96-12-11.

Synthesis of optimal H controllers via LQG-based loop shaping design. / Yang, Ciann Dong; Chang, Chia Yuan; Sun, Yun Ping.

Proceedings of the IEEE Conference on Decision and Control. ed. / Anon. 1996. (Proceedings of the IEEE Conference on Decision and Control; Vol. 1).

Research output: Chapter in Book/Report/Conference proceedingChapter

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AB - In this paper, synthesis of optimal H∞ controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a flat frequency response of the largest singular value. Weighted H2 optimization technique used in LQG/LTR is exploited in the loop shaping procedures to generate a sequence of H2 controllers converging to the optimal H∞ controller. The resulting optimal H∞ controller not only has the inherent robust property due to H∞ criterion but also possesses the nice H2 control structure, being easy to compute and implement. A flight control example is demonstrated to show that the numerical accuracy of the present LQG-based H∞ synthesis is comparable to the conventional H∞ approach, i.e., γ-iteration.

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Yang CD, Chang CY, Sun YP. Synthesis of optimal H controllers via LQG-based loop shaping design. In Anon, editor, Proceedings of the IEEE Conference on Decision and Control. 1996. (Proceedings of the IEEE Conference on Decision and Control).