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


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.

Copyright © 2006 by American Society of Mechanical Engineers
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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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