LINEAR MATRIX INEQUALITY BASED DESIGN OF FLIGHT CONTROL SYSTEM COMBINED WITH FUZZY TUNING
DOI:
https://doi.org/10.18372/2306-1472.44.1910Keywords:
H-infinity control design, fuzzy Takagi-Sugeno control, linear matrix inequality, robust control theory, robust static output feedbackAbstract
This paper is dedicated to the synthesis of combined control structure. The architecture of the controller is divided into two loops. The inner loop controller is based on robust static output feedback design under linear matrix inequality approach with H-infinity method in order to attenuate the external disturbances at pre-determined level. The outer loop controller is designed using fuzzy Takagi-Sugeno inference system. The efficiency of the proposed approach is demonstrated on example of lateral channel control of small Unmanned Aerial Vehicle.
References
Tunik A.A. Parametric Robust Optimization of Digital Flight Control Systems / A.A. Tunik, E.A. Abramovich // Proceedings of the National Aviation University. – 2003.– N2. – P. 31–37.
Tunik A.A. Robust Stabilization and Nominal Performance of the Flight Control System for Small UAV / A.A. Tunik, T.A. Galaguz // Applied and computation mathematics.– 2004. –Vol. 3, N 1. – P. 34–45.
Тунік А.А. Оптимальне управління боковим каналом БПЛА при неповних вимірах вектора стану / А.А. Тунік, Т.А. Галагуз, М.М. Комнацька, Т.А. Білий // Проблеми інформатизації та управління. – 2005. – №12. – С.– 143–146.
Tunik A.A Combination of Fuzzy and Crisp Control in Airborne Robust Multivariable Systems / A.A. Tunik, M.A. Touat, M.M. Komnatska // Proc. of the Third World Cong. in the XXI cent. “Safety in Aviation and Space technology”.– Kyiv, Ukraine. – 2008. – Vol. 2, September 22–24. – P. 33.38–33.47.
Tunik A A.. Combination of Fuzzy and “Crisp” Principles in Modern Multivariable Robust Flight Control / A. A. Tunik, M.A. Touat // Системні технології: pегіональний міжвузівський зб. наук. пр. – Вип. 6 (59). – Дніпропетровськ, 2008. – C. 10–26.
Syrmos V.L. Static Output Feedback: a survey / V.L. Syrmos, C. Abdallah and P. Dorato // Proc. of 33rd IEEE Conf. on Decision and Control, Orlando, FL. – P. 837–842.
Ghaoui L.E. A cone Complementary Linearization Algorithm for Static Output-Feedback and Related Problems / L.E. Ghaoui, F. Oustry,M. AitRami // IEEE Transactions on Automatic Control. – 1997.– Vol. 42, N. 8.– P. 1171 – 1176.
Prempain E. Static Output Feedback stabilization with H∞ Performance for a Class of Plants / E. Prempain, I. Postlewaite // System and Control Letters. – 2001. – Vol. 43, N 3. – P. 159 – 166.
Prempain E. Static H∞ Loop Shaping Control / E. Prempain // Control 2004 University of Bath UK, 6 –9 September, 2004.
Toscano R. Design of a Robust Static Output Feedback Controller in the Case of Multiple Parametric Uncertainties / R. Toscano, P. Lyonnet // Transactions of the Institute of Measurement and Control. – 2007. – Vol. 29, N.1. – P. 71–75.
Linear Matrix Inequalities in System and Control Theory / S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan.– Philadelphia, PA SIAM, 1994. – 416 p.
Gadewadikar J. Necessary and Sufficient Conditions for H-infinity Static Output Feedback Control / J. Gadewadikar, F. Lewis, M. Abu-Khalaf // Journal of Guidance, Control and Dynamics. – 2006. – Vol. 29. – P. 915–921.
Gadewadikar J. Aircraft Flight Controller Tracking Design Using H-Infinity Static Output-Feedback / J. Gadewadikar, F. Lewis // Transactions of the Institute of Measurement and Control. – 2006. – Vol. 28, N. 8.– P. 429–440.
Komnatska M.M. Robust Stabilization and Optimization of Flight Control System with State Feedback and Fuzzy Logics / M.M. Komnatska, A.A. Tunik // NAU Proc. – 2009. – N 4. – P. 33 – 41.
Knobloch H.W. Topics in control theory / H.W. Knobloch, A. Isidori, D. Flockerzi – Birkhauser, Berlin, Germany. – 1993. – P. 43–49, 58–67, 99–111.
Passino K. M. Fuzzy Control / K.M. Passino, S. Yurkovich.– Addison –Wesley.– Menlo Park, Reading, Harlow, Berkley, Sidney, Bonn, Amsterdam, 1998. – P. 502.
McLean D. Automatic Flight Control Systems / D. McLean. Prentice Hall Inc., Englewood Cliffs, – 1990. – 593 p.