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Research Papers

Time-Multiplied Guaranteed Cost Control of Linear Delay Systems

[+] Author and Article Information
Junling Wang1

College of Nuclear Science and Technology, Harbin Engineering University, Nantong Street 145, Harbin, 150001, P.R.C.

James Lam, Zhan Shu

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong, P.R.C.

Shengyuan Xu

Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.R.C.

1

Corresponding author.

J. Dyn. Sys., Meas., Control 130(6), 061007 (Sep 25, 2008) (11 pages) doi:10.1115/1.2977473 History: Received September 13, 2007; Revised March 23, 2008; Published September 25, 2008

This paper investigates the design of guaranteed cost controllers for a class of linear systems with a state delay using a time-multiplied linear quadratic cost function. Based on delay-dependent and delay-independent stability criteria, guaranteed cost controllers can be constructed via solutions to linear matrix inequalities (LMIs) such that the resulting closed-loop system is stable and a specified time-multiplied linear integral-quadratic cost function has an upper bound. By the cone complementary linearization method, delay-dependent state feedback controllers can be derived in terms of LMIs. A numerical example is provided to demonstrate the effectiveness of the proposed method.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

State responses with the delay-dependent approach

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Figure 2

Control input with the delay-dependent approach

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Figure 3

State responses with the delay-independent approach

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Figure 4

Control input with the delay-independent approach

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