Robust Adaptive Control for a DC Servomotor with wide Backlash Nonlinearity

In this paper, the problem of driving angular position of a direct current servomotor system with unmodeled wide backlash nonlinearity is addressed. In order to tackle this problem, a control scheme based on an adaptive super twisting algorithm is proposed. In order to implement the proposed controller, information about angular velocity is estimated by means of a robust differentiator. Based on a simplified model of the system, the proposed scheme increases robustness against unmodeled dynamics as backlash, as not all the parameters of the system nor the bounds of the perturbations are required to be known. Experimental results considering a wide backlash angle near to 2*PI, illustrate the feasibility and performance of the proposed control methodology.

[1]  Bo Mo,et al.  The adaptive PID controller design for motor control system with backlash , 2013, 2013 Fourth International Conference on Intelligent Control and Information Processing (ICICIP).

[2]  Arie Levant,et al.  Quasi-continuous high-order sliding-mode controllers , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[3]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[4]  Shaocheng Tong,et al.  Adaptive Fuzzy Robust Output Feedback Control of Nonlinear Systems With Unknown Dead Zones Based on a Small-Gain Approach , 2014, IEEE Transactions on Fuzzy Systems.

[5]  Arie Levant,et al.  Exact Differentiation of Signals with Unbounded Higher Derivatives , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[6]  J.C. Cadiou,et al.  Backlash phenomenon observation and identification , 2006, 2006 American Control Conference.

[7]  Li-Xin Wang,et al.  Stable adaptive fuzzy control of nonlinear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[8]  Yan Lin,et al.  A robust adaptive dynamic surface control for a class of nonlinear systems with unknown Prandtl–Ishilinskii hysteresis , 2011 .

[9]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[10]  Mattias Nordin,et al.  Controlling mechanical systems with backlash - a survey , 2002, Autom..

[11]  Yuri B. Shtessel,et al.  A novel adaptive-gain supertwisting sliding mode controller: Methodology and application , 2012, Autom..

[12]  Jun Oh Jang,et al.  Friction and output backlash compensation of systems using neural network and fuzzy logic , 2004, Proceedings of the 2004 American Control Conference.

[13]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[14]  Jian Guo,et al.  High performance adaptive robust control for nonlinear system with unknown input backlash , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[15]  Jing Zhou,et al.  Robust Adaptive Output Control of Uncertain Nonlinear Plants With Unknown Backlash Nonlinearity , 2007, IEEE Transactions on Automatic Control.