Decentralized HINF controller design for nonlinear systems

Guang Hong Yang; Jianliang Wang; C. B. Soh; James Lam

Decentralized H_INF controller design for nonlinear systems

Guang Hong Yang, Jianliang Wang, C. B. Soh, James Lam

Research output: Journal Publication › Conference article › peer-review

3 Citations (Scopus)

Abstract

Considering a nonlinear system ∑ described by a specified system of equations for i=1,...q where x ∈ X ⊂ Rⁿ with 0 ∈ Rⁿ is the state; u_i ∈ R^m(i) local control; y_i ∈ R^p(i) local measurement; w₀ and w_i's square-integrable disturbances; and z regulated output. The functions f(x), g₁(x), h₁(x), g_2i(x) and h_2i(x) (i = 1, ···, q) are all known and smooth in X with f(0) = 0, h₁(0) = 0 and h_2i(0) = 0 (i = 1, ···, q). A Decentralized H_∞ Controller Design (DHCD) was evaluated to find the controllers of the form qq given the system of ∑ of (1)-(3) and a positive constant γ. A design method for local observer gains L_i(ξ_i) (i = 1, ···, q) was presented to the nonlinear matrix inequality.

Original language	English
Pages (from-to)	2397-2398
Number of pages	2
Journal	Proceedings of the American Control Conference
Volume	4
Publication status	Published - 1997
Externally published	Yes
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: 4 Jun 1997 → 6 Jun 1997

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@article{05ce23bb9cbc46df8acc7166c5b9cdeb,

title = "Decentralized HINF controller design for nonlinear systems",

abstract = "Considering a nonlinear system ∑ described by a specified system of equations for i=1,...q where x ∈ X ⊂ Rn with 0 ∈ Rn is the state; ui ∈ Rm(i) local control; yi ∈ Rp(i) local measurement; w0 and wi's square-integrable disturbances; and z regulated output. The functions f(x), g1(x), h1(x), g2i(x) and h2i(x) (i = 1, ···, q) are all known and smooth in X with f(0) = 0, h1(0) = 0 and h2i(0) = 0 (i = 1, ···, q). A Decentralized H∞ Controller Design (DHCD) was evaluated to find the controllers of the form qq given the system of ∑ of (1)-(3) and a positive constant γ. A design method for local observer gains Li(ξi) (i = 1, ···, q) was presented to the nonlinear matrix inequality.",

author = "Yang, {Guang Hong} and Jianliang Wang and Soh, {C. B.} and James Lam",

year = "1997",

language = "English",

volume = "4",

pages = "2397--2398",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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

}

TY - JOUR

T1 - Decentralized HINF controller design for nonlinear systems

AU - Yang, Guang Hong

AU - Wang, Jianliang

AU - Soh, C. B.

AU - Lam, James

PY - 1997

Y1 - 1997

N2 - Considering a nonlinear system ∑ described by a specified system of equations for i=1,...q where x ∈ X ⊂ Rn with 0 ∈ Rn is the state; ui ∈ Rm(i) local control; yi ∈ Rp(i) local measurement; w0 and wi's square-integrable disturbances; and z regulated output. The functions f(x), g1(x), h1(x), g2i(x) and h2i(x) (i = 1, ···, q) are all known and smooth in X with f(0) = 0, h1(0) = 0 and h2i(0) = 0 (i = 1, ···, q). A Decentralized H∞ Controller Design (DHCD) was evaluated to find the controllers of the form qq given the system of ∑ of (1)-(3) and a positive constant γ. A design method for local observer gains Li(ξi) (i = 1, ···, q) was presented to the nonlinear matrix inequality.

AB - Considering a nonlinear system ∑ described by a specified system of equations for i=1,...q where x ∈ X ⊂ Rn with 0 ∈ Rn is the state; ui ∈ Rm(i) local control; yi ∈ Rp(i) local measurement; w0 and wi's square-integrable disturbances; and z regulated output. The functions f(x), g1(x), h1(x), g2i(x) and h2i(x) (i = 1, ···, q) are all known and smooth in X with f(0) = 0, h1(0) = 0 and h2i(0) = 0 (i = 1, ···, q). A Decentralized H∞ Controller Design (DHCD) was evaluated to find the controllers of the form qq given the system of ∑ of (1)-(3) and a positive constant γ. A design method for local observer gains Li(ξi) (i = 1, ···, q) was presented to the nonlinear matrix inequality.

UR - http://www.scopus.com/inward/record.url?scp=0030693007&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0030693007

SN - 0743-1619

VL - 4

SP - 2397

EP - 2398

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 -

Decentralized H_INF controller design for nonlinear systems

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this