H∞ and Passivity Control via Static and Integral Output Feedback for Systems With Input Delay

Baozhu Du; James Lam; Zhan Shu

doi:10.1115/1.4005274

Journal of Dynamic Systems, Measurement, and Control | Volume 134 | Issue 2 | Research Paper

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Research Papers

$H_{\infty}$ and Passivity Control via Static and Integral Output Feedback for Systems With Input Delay

Baozhu Du, James Lam and Zhan Shu

[+] Author and Article Information

Baozhu Du

Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, P. R. China e-mail: dubaozhu@gmail.com

James Lam¹

Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, P. R. China e-mail: jlam@.hku.hkSchool of Engineering Sciences, University of Southampton, Highfield Campus, Southampton SO17 1BJ, United Kingdom e-mail: z.shu@soton.ac.uk

Zhan Shu

Corresponding author.

J. Dyn. Sys., Meas., Control 134(2), 021004 (Dec 29, 2011) (8 pages) doi:10.1115/1.4005274 History: Received May 05, 2010; Revised August 04, 2011; Published December 29, 2011; Online December 29, 2011

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Abstract

This paper addresses a new approach on $H_{\infty}$ and passivity control via static and integral output feedback controllers of continuous-time linear systems with input delay. By combining an augmentation approach and the delay partitioning technique, criteria for static and integral output feedback $H_{\infty}$ /passivity stabilizability are proposed for the closed-loop system in terms of matrix inequalities. These new characterizations possess a special monotonic property, which underpin the convergence of a linearized iterative computational algorithm. The effectiveness and merits of the proposed approach are illustrated through numerical examples.

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Du B, Lam J, Shu Z. H∞ and Passivity Control via Static and Integral Output Feedback for Systems With Input Delay. ASME. J. Dyn. Sys., Meas., Control. 2011;134(2):021004-021004-8. doi:10.1115/1.4005274.

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$H_{\infty}$ and Passivity Control via Static and Integral Output Feedback for Systems With Input Delay

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