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Title: Non-linear fuzzy control : LMI vs. sum of squares
Authors: Gerges, Joseph
Khazem, Mohammad
Advisors: Dagher, Issam 
Subjects: Automatic control
Fuzzy systems
Issue Date: 2012
Recently, new system analysis techniques are available to study nonlinear dynamical systems using the sum of squares decomposition. Developing such techniques, using Takagi-Sugeno and Layponuv stability, is done throughout this project with the aid of the SOSTOOLS in MATLAB. The dynamical system can be represented by Takagi-Sugeno fuzzy model, thus this model can be simulated and studied using SOSTOOLS. Moreover, an analysis of the obtained model is done using the Linear Matrix Inequality (LMI) tools; then, a comparison was undertaken between the LMI and SOS. The main advantage of the SOSTOOLS is that it can solve equality and inequality constraints; thus, the stability conditions are more general and relaxed. Finally, to elucidate the validity and applicability of the proposed approach, an example is studied and conclusions are made.
Includes bibliographical references (p.34-35).

Supervised by Dr. Issam Dagher.
Rights: This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holder
Ezproxy URL: Link to full text
Type: Project
Appears in Collections:UOB Theses and Projects

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