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
How to Cite?

Lai K. Lai, Thiem V. Pham, "Tracking Control via ISS Stabilization and for Nonlinear System," SSRG International Journal of Electrical and Electronics Engineering, vol. 4,  no. 9, pp. 16-20, 2017. Crossref,


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.


ISS stabilization; MRAS; disturbance estimation; MIMO system; adaptive control; AMBs.


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