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

All Science Journal Classification (ASJC) codes

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

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