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TECHNICAL PAPERS

Robust H Output Feedback Control Design for Takagi-Sugeno Systems with Markovian Jumps: A Linear Matrix Inequality Approach

[+] Author and Article Information
Sing Kiong Nguang1

Department of Electrical and Electronic Engineering, The University of Auckland, Private Bag 92019 Auckland, New Zealandsk.nguang@auckland.ac.nz

Peng Shi

Division of Mathematics and Statistics, School of Technology, University of Glamorgan, Pontypridd, CF37 1DL, Wales, United Kingdom

1

Author to whom correspondence should be addressed.

J. Dyn. Sys., Meas., Control 128(3), 617-625 (Jan 23, 2006) (9 pages) doi:10.1115/1.2232686 History: Received December 17, 2004; Revised January 23, 2006

This paper investigates the H output feedback control design for a class of uncertain nonlinear systems with Markovian jumps which can be described by Takagi-Sugeno models. Based on a linear matrix inequality (LMI), LMI-based sufficient conditions for the existence of a robust output feedback controller, such that the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value, are derived. An illustrative example is used to demonstrate the effectiveness of the proposed design techniques.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

The result of the changing between modes during the simulation with the initial mode at Mode 1

Grahic Jump Location
Figure 2

The ratio of the regulated output energy to the disturbance noise energy, [∫0tz(t)Tz(t)dt]∕[∫0tw(t)Tw(t)dt]

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