Direct method of constructing H2 suboptimal controllers - continuous-time systems

Zongli Lin; Peddapullaiah Sannuti; Ali Saberi; Yacov A. Shamash

Direct method of constructing H₂ suboptimal controllers - continuous-time systems

Zongli Lin
, Peddapullaiah Sannuti
, Ali Saberi
, Yacov A. Shamash

Electrical Engineering

Stony Brook University

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

An algorithm called `H₂ suboptimal state feedback gain sequence' (H₂ SOSFGS) algorithm is developed. Rather than utilizing a `perturbation method' which is numerically stiff and computationally prohibitive, the H₂ SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H₂ suboptimal state feedback gains. Also, although the sequence of H₂ suboptimal state feedback gains constructed by the H₂ SOSFGS algorithm depends on a parameter ε, the construction procedure itself does not require explicitly the value of the parameter ε. For a given H₂ suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H₂ SOSFGS algorithm.

Original language	English
Pages (from-to)	1766-1770
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	3
State	Published - 1997
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: Jun 4 1997 → Jun 6 1997

Cite this

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title = "Direct method of constructing H2 suboptimal controllers - continuous-time systems",

abstract = "An algorithm called `H2 suboptimal state feedback gain sequence' (H2 SOSFGS) algorithm is developed. Rather than utilizing a `perturbation method' which is numerically stiff and computationally prohibitive, the H2 SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H2 suboptimal state feedback gains. Also, although the sequence of H2 suboptimal state feedback gains constructed by the H2 SOSFGS algorithm depends on a parameter ε, the construction procedure itself does not require explicitly the value of the parameter ε. For a given H2 suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H2 SOSFGS algorithm.",

author = "Zongli Lin and Peddapullaiah Sannuti and Ali Saberi and Shamash, \{Yacov A.\}",

year = "1997",

language = "English",

volume = "3",

pages = "1766--1770",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

note = "Proceedings of the 1997 American Control Conference. Part 3 (of 6) ; Conference date: 04-06-1997 Through 06-06-1997",

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TY - JOUR

T1 - Direct method of constructing H2 suboptimal controllers - continuous-time systems

AU - Lin, Zongli

AU - Sannuti, Peddapullaiah

AU - Saberi, Ali

AU - Shamash, Yacov A.

PY - 1997

Y1 - 1997

N2 - An algorithm called `H2 suboptimal state feedback gain sequence' (H2 SOSFGS) algorithm is developed. Rather than utilizing a `perturbation method' which is numerically stiff and computationally prohibitive, the H2 SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H2 suboptimal state feedback gains. Also, although the sequence of H2 suboptimal state feedback gains constructed by the H2 SOSFGS algorithm depends on a parameter ε, the construction procedure itself does not require explicitly the value of the parameter ε. For a given H2 suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H2 SOSFGS algorithm.

AB - An algorithm called `H2 suboptimal state feedback gain sequence' (H2 SOSFGS) algorithm is developed. Rather than utilizing a `perturbation method' which is numerically stiff and computationally prohibitive, the H2 SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H2 suboptimal state feedback gains. Also, although the sequence of H2 suboptimal state feedback gains constructed by the H2 SOSFGS algorithm depends on a parameter ε, the construction procedure itself does not require explicitly the value of the parameter ε. For a given H2 suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H2 SOSFGS algorithm.

UR - https://www.scopus.com/pages/publications/0030652230

M3 - Conference article

AN - SCOPUS:0030652230

SN - 0743-1619

VL - 3

SP - 1766

EP - 1770

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)

Y2 - 4 June 1997 through 6 June 1997

ER -

Direct method of constructing H₂ suboptimal controllers - continuous-time systems

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