Robust synthesis in ℓ1 via μ approach and D-K iteration

Shing Tenqchen; Ming Chang Sun; Wu Shiung Feng

Robust synthesis in ℓ₁ via μ approach and D-K iteration

Shing Tenqchen^*
, Ming Chang Sun
, Wu Shiung Feng

^*Corresponding author for this work

Department of Electronic Engineering

National Taiwan University
Chunghwa Telecom Co. Ltd.

Research output: Contribution to conference › Conference Paper › peer-review

Abstract

In this paper, we propose the linear fractional transformation (LFT) method to synthesize controllers that achieve globally robust stability, robust performance, and satisfactory worst-case performance, within any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear uncertainty, respectively. The uncertainty is characterized by any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear behaviors. The output feedback synthesis problem when the signal norm is proposed to get the ℓ_∞ norm and the perturbations are structured time-varying and/or nonlinear systems with an induced ∞-norm bound. A global optimal solution to the robust synthesis problem is obtained. A synthesizing ℓ₁ controller for a simplified space-shuttle model is taken from the μ-Analysis and D-K Iteration method to compare each other.

Original language	English
Pages	III105-III108
State	Published - 2002
Event	2002 45th Midwest Symposium on Circuits and Systems - Tulsa, OK, United States Duration: 04 08 2002 → 07 08 2002

Conference

Conference	2002 45th Midwest Symposium on Circuits and Systems
Country/Territory	United States
City	Tulsa, OK
Period	04/08/02 → 07/08/02

Cite this

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title = "Robust synthesis in ℓ1 via μ approach and D-K iteration",

abstract = "In this paper, we propose the linear fractional transformation (LFT) method to synthesize controllers that achieve globally robust stability, robust performance, and satisfactory worst-case performance, within any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear uncertainty, respectively. The uncertainty is characterized by any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear behaviors. The output feedback synthesis problem when the signal norm is proposed to get the ℓ∞ norm and the perturbations are structured time-varying and/or nonlinear systems with an induced ∞-norm bound. A global optimal solution to the robust synthesis problem is obtained. A synthesizing ℓ1 controller for a simplified space-shuttle model is taken from the μ-Analysis and D-K Iteration method to compare each other.",

author = "Shing Tenqchen and Sun, \{Ming Chang\} and Feng, \{Wu Shiung\}",

year = "2002",

language = "英语",

pages = "III105--III108",

note = "2002 45th Midwest Symposium on Circuits and Systems ; Conference date: 04-08-2002 Through 07-08-2002",

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T1 - Robust synthesis in ℓ1 via μ approach and D-K iteration

AU - Tenqchen, Shing

AU - Sun, Ming Chang

AU - Feng, Wu Shiung

PY - 2002

Y1 - 2002

N2 - In this paper, we propose the linear fractional transformation (LFT) method to synthesize controllers that achieve globally robust stability, robust performance, and satisfactory worst-case performance, within any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear uncertainty, respectively. The uncertainty is characterized by any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear behaviors. The output feedback synthesis problem when the signal norm is proposed to get the ℓ∞ norm and the perturbations are structured time-varying and/or nonlinear systems with an induced ∞-norm bound. A global optimal solution to the robust synthesis problem is obtained. A synthesizing ℓ1 controller for a simplified space-shuttle model is taken from the μ-Analysis and D-K Iteration method to compare each other.

AB - In this paper, we propose the linear fractional transformation (LFT) method to synthesize controllers that achieve globally robust stability, robust performance, and satisfactory worst-case performance, within any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear uncertainty, respectively. The uncertainty is characterized by any prescribed tolerance, against structured norm-bounded time-varying and/or nonlinear behaviors. The output feedback synthesis problem when the signal norm is proposed to get the ℓ∞ norm and the perturbations are structured time-varying and/or nonlinear systems with an induced ∞-norm bound. A global optimal solution to the robust synthesis problem is obtained. A synthesizing ℓ1 controller for a simplified space-shuttle model is taken from the μ-Analysis and D-K Iteration method to compare each other.

UR - https://www.scopus.com/pages/publications/18744428181

M3 - 论文

AN - SCOPUS:18744428181

SP - III105-III108

T2 - 2002 45th Midwest Symposium on Circuits and Systems

Y2 - 4 August 2002 through 7 August 2002

ER -

Robust synthesis in ℓ₁ via μ approach and D-K iteration

Abstract

Conference

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