On model-free accommodation of actuator nonlinearities

A unique method of dealing with various nonlinearities, particularly those associated with actuators, is proposed, implemented and tested in simulation and hardware. It is shown that the nonlinearities, even without mathematical models, can be effectively dealt with based on the concept of active disturbance rejection, by which the effect of the nonlinearities is estimated and cancelled in real time. Simulation and hardware tests give promising results.

[1]  Shuzhi Sam Ge,et al.  A Direct Method for Robust Adaptive Nonlinear Control with Unknown Hysteresis , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[2]  A. Visintin Differential models of hysteresis , 1994 .

[3]  Zhiqiang Gao,et al.  Motion Control Design Optimization : Problem and Solutions , 2006 .

[4]  F.J. Goforth,et al.  On motion control design and tuning techniques , 2004, Proceedings of the 2004 American Control Conference.

[5]  Gang Tao,et al.  Adaptive Control of Systems with Actuator and Sensor Nonlinearities , 1996 .

[6]  Bosheng Sun,et al.  A DSP-based active disturbance rejection control design for a 1-kW H-bridge DC-DC power converter , 2005, IEEE Transactions on Industrial Electronics.

[7]  M. D. Ardema Singular perturbations in systems and control , 1983 .

[8]  P. Olver Nonlinear Systems , 2013 .

[9]  Pavel Krejčí,et al.  Hysteresis, convexity and dissipation in hyperbolic equations , 1996 .

[10]  Zhiqiang Gao,et al.  A Practical Approach to Disturbance Decoupling Control , 2009 .

[11]  M. Brokate,et al.  Phase Transitions and Hysteresis , 1994 .

[12]  Zhiqiang Gao,et al.  An Active Disturbance Rejection Control solution for hysteresis compensation , 2008, 2008 American Control Conference.

[13]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[14]  Zhiqiang Gao,et al.  Scaling and bandwidth-parameterization based controller tuning , 2003, Proceedings of the 2003 American Control Conference, 2003..

[15]  Zengqiang Chen,et al.  Application and analysis of ADRC in guidance and control in flight vehicle—Some explorations in various time-scale paradigms , 2010, Proceedings of the 29th Chinese Control Conference.

[16]  Zhiqiang Gao,et al.  On active disturbance rejection based control design for superconducting RF cavities , 2011 .

[17]  Bao-Zhu Guo,et al.  On the convergence of an extended state observer for nonlinear systems with uncertainty , 2011, Syst. Control. Lett..

[18]  Zhiqiang Gao,et al.  On Validation of Extended State Observer Through Analysis and Experimentation , 2012 .

[19]  Zhiqiang Gao,et al.  Active disturbance rejection control for MEMS gyroscopes , 2008, 2008 American Control Conference.

[20]  Zhiqiang Gao,et al.  An Active Disturbance Rejection Approach to Tension and Velocity Regulations in Web Processing Lines , 2007, 2007 IEEE International Conference on Control Applications.

[21]  Gideon F. Inbar,et al.  FNS Control Schemes for the Upper Limb , 1986, IEEE Transactions on Biomedical Engineering.

[22]  M. Brokate,et al.  Hysteresis and Phase Transitions , 1996 .

[23]  Zhiqiang Gao,et al.  Active disturbance rejection control for web tension regulation , 2001 .

[24]  Zhiqiang Gao,et al.  A novel motion control design approach based on active disturbance rejection , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[25]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[26]  Zhiqiang Gao,et al.  A DSP-based active disturbance rejection control design for a 1-kW H-bridge DC-DC power converter , 2005, IEEE Trans. Ind. Electron..