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Simultaneous State and Actuator Fault Estimation With Fuzzy
Descriptor PMID and PD Observers for Satellite Control Systems

Rajab Challoo, Sunny Dubey

Pages - 344 - 359 | Revised - 01-11-2011 | Published - 15-12-2011

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KEYWORDS

Fault, Descriptor Systems, Estimation, Fuzzy Model

ABSTRACT

In this paper, Takagi-Sugeno (T-S) fuzzy descriptor proportional multiple-integral derivative
(PMID) and Proportional-Derivative (PD) observer methods that can estimate the system states
and actuator faults simultaneously are proposed. T-S fuzzy model is obtained by linearsing
satellite/spacecraft attitude dynamics at suitable operating points. For fault estimation, actuator
fault is introduced as state vector to develop augmented descriptor system and robust fuzzy
PMID and PD observers are developed. Stability analysis is performed using Lyapunov direct
method. The convergence conditions of state estimation error are formulated in the form of LMI
(linear matrix inequality). Derivative gain, obtained using singular value decomposition of
descriptor state matrix (E), gives more design degrees of freedom together with proportional and
integral gains obtained from LMI. Simulation study is performed for our proposed methods.

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Dr. Rajab Challoo

Texas A&M University-Kingsville - United States of America

kfrc000@tamuk.edu

Mr. Sunny Dubey

- United States of America