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Volume 5 Issue 2
Mar.  2018

IEEE/CAA Journal of Automatica Sinica

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Shuhui Bi, Lei Wang, Shengjun Wen and Mingcong Deng, "Operator-Based Robust Nonlinear Control for SISO and MIMO Nonlinear Systems With PI Hysteresis," IEEE/CAA J. Autom. Sinica, vol. 5, no. 2, pp. 523-530, Mar. 2018. doi: 10.1109/JAS.2016.7510175
Citation: Shuhui Bi, Lei Wang, Shengjun Wen and Mingcong Deng, "Operator-Based Robust Nonlinear Control for SISO and MIMO Nonlinear Systems With PI Hysteresis," IEEE/CAA J. Autom. Sinica, vol. 5, no. 2, pp. 523-530, Mar. 2018. doi: 10.1109/JAS.2016.7510175

Operator-Based Robust Nonlinear Control for SISO and MIMO Nonlinear Systems With PI Hysteresis

doi: 10.1109/JAS.2016.7510175
Funds:

the National Natural Science Foundation of China 61203229

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  • In this paper, operator based robust nonlinear control for single-input single-output (SISO) and multi-input multi-output (MIMO) nonlinear uncertain systems preceded by generalized Prandtl-Ishlinskii (PI) hysteresis is considered respectively. In detail, by using operator based robust right coprime factorization approach, the control system design structures including feedforward and feedback controllers for both SISO and MIMO nonlinear uncertain systems are given, respectively. In which, the controller design includes the information of PI hysteresis and its inverse, and some sufficient conditions for the controllers in both SISO and MIMO systems should be satisfied are also derived respectively. Based on the proposed conditions, influence from hysteresis is rejected, the systems are robustly stable and output tracking performance can be realized. Finally, the effectiveness of the proposed method is confirmed by numerical simulations.

     

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