Tracking Control via ISS Stabilization and for Nonlinear System
|International Journal of Electrical and Electronics Engineering|
|© 2017 by SSRG - IJEEE Journal|
|Volume 4 Issue 9|
|Year of Publication : 2017|
|Authors : Lai K. Lai, Thiem V. Pham|
Lai K. Lai, Thiem V. Pham, "Tracking Control via ISS Stabilization and for Nonlinear System" SSRG International Journal of Electrical and Electronics Engineering 4.9 (2017): 16-20.
Lai K. Lai, Thiem V. Pham,(2017). Tracking Control via ISS Stabilization and for Nonlinear System. SSRG International Journal of Electrical and Electronics Engineering 4(9),16-20.
In this work, we introduce a new adaptive tracking controllers dealing with a MIMO nonlinear system in presence of input noise. The adaptive tracking controllers base on Input to State Stability (ISS) stabilization. An ISS stabilization is used to make the error tracking smoothly converges to an arbitrary sufficient small area around the neighborhood of the origin. The set of controller’s parameter, which is a satisfy Hurwitz polynomial, is then updated by adaptive laws via a model reference system. Thanks to Lyapunov’s theory, the stability of the closed loop system is demonstrated. Finally, simulation results corresponding to an Active Magnetic Bearing system (AMBs) illustrate the effectiveness of our proposed combination.
 John J. Craig,”Introduction Robotic Mechanics and Control”, Addison Wesley Publishing Company, 1989
 Lewits, F.R; Dawson. D. M and Abdallah. C.T,”Robot Manipulator Control, Theory and Practice”, Marcel Dekker Inc, 2004
 Ortega. R; Loria. A and Nicklasson,”Passivity based Control of Euler-Lagrange Systems”, Springer Verlag, 1998
 Sastry. S, Nonlinear System:”Analysis, Stability and Control”, Springer Verlag, NewYork, Inc, 1999
 D. M. Dawson,”Robust control for the tracking of robot motion”, Int. J. of Control 52(3), 581-595, 1990
 Won Kim, Jin-Ho Shin, Ju Jang Lee,”Sliding Mode Control for a Robot Manipulator”, The Institute of Control, Automation and Systems Engineers, Korea, Vol4, No1, 2002
 Thiem V. Pham, Dao Huy Du, “Novel Adaptive Neural Sliding Mode Control for Uncertain Nonlinear System with Disturbance Estimation”, 4th international conference on information system and intelligent system (INDIA-2017), June 2017
 Sontag, E. D.:”On the Input−to−State Stability Property”. European J. Control 1, 1995, pp 24-36
 Popov, V. M., 1973,”Hyperstability of Control Systems”, Springer-Verlag, New York.
 Akira Chiba, Tadashi Fukao,”Magnetic Bearings and Bearingless Drives”, Elsevier, 2005
 Jian Ye, Sun Yanhua, Yulie,”LQR Control Hybird Foil–Megnetic Bearing”, 12th Interbational Symposium on Magnetic Bearing, August, 2010
 Schweitzer G, “Active Magnetic Bearing-Chances and Limitations”, Int. Centre for Magnetic Bearings, CH-8092, Zurich.
 Pham Van Thiem, Nguyen Doan Phuoc, “ISS Adaptive stabilization control for 2 degree of freedom active magnetic bearing modeling the system in Euler-Lagrange equation”, Journal of Science and Technology Technical Universities, Ha Noi 91, pp 7-11,2012.
ISS stabilization; MRAS; disturbance estimation; MIMO system; adaptive control; AMBs.