A novel disturbance-observer based friction compensation scheme for ball and plate system.

Friction is often ignored when designing a controller for the ball and plate system, which can lead to steady-error and stick-slip phenomena, especially for the small amplitude command. It is difficult to achieve high-precision control performance for the ball and plate system because of its friction. A novel reference compensation strategy is presented to attenuate the aftereffects caused by the friction. To realize this strategy, a linear control law is proposed based on a reduced-order observer. Neither the accurate friction model nor the estimation of specific characteristic parameters is needed in this design. Moreover, the describing function method illustrates that the limit cycle can be avoided. Finally, the comparative mathematical simulations and the practical experiments are used to validate the effectiveness of the proposed method.

[1]  Naif B. Almutairi,et al.  On the sliding mode control of a Ball on a Beam system , 2009 .

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

[3]  Xu Yang,et al.  Active disturbance rejection control for high pointing accuracy and rotation speed , 2009, Autom..

[4]  Yao Zhang,et al.  A robust decentralized load frequency controller for interconnected power systems. , 2012, ISA transactions.

[5]  Yuan-Jay Wang,et al.  Robust prevention of limit cycle for nonlinear control systems with parametric uncertainties both in the linear plant and nonlinearity. , 2007, ISA transactions.

[6]  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..

[7]  Yuxin Su,et al.  Disturbance-rejection high-precision motion control of a Stewart platform , 2004, IEEE Transactions on Control Systems Technology.

[8]  Shihua Li,et al.  Adaptive Speed Control for Permanent-Magnet Synchronous Motor System With Variations of Load Inertia , 2009, IEEE Transactions on Industrial Electronics.

[9]  De-hu Yuan,et al.  Global Sliding Mode Variable Structure Control Applied to Pneumatic Servo System , 2008, 2008 IEEE International Symposium on Knowledge Acquisition and Modeling Workshop.

[10]  Ying Luo,et al.  Fractional order ultra low-speed position servo: improved performance via describing function analysis. , 2011, ISA transactions.

[11]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[12]  Nathan van de Wouw,et al.  Analysis of undercompensation and overcompensation of friction in 1DOF mechanical systems , 2007, Autom..

[13]  Yantao Tian,et al.  Motion Control of Ball and Plate System Using Supervisory Fuzzy Controller , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[14]  K. Astrom,et al.  Friction generated limit cycles , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

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

[16]  R. Svecko,et al.  Modeling and control design for the ball and plate system , 2003, IEEE International Conference on Industrial Technology, 2003.

[17]  David S. Bayard,et al.  High-order multivariable transfer function curve fitting: Algorithms, sparse matrix methods and experimental results , 1994, Autom..

[18]  Zhiqiang Gao,et al.  A novel practical control approach for rate independent hysteretic systems. , 2012, ISA transactions.

[19]  Dong Sun,et al.  Comments on Active Disturbance Rejection Control , 2007, IEEE Trans. Ind. Electron..

[20]  Bernard Friedland,et al.  On adaptive friction compensation , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[21]  Thomas Parisini,et al.  Switching-Driving Lyapunov Function and the Stabilization of the Ball-and-Plate System , 2009, IEEE Transactions on Automatic Control.

[22]  Naiyao Zhang,et al.  Trajectory planning and tracking of ball and plate system using hierarchical fuzzy control scheme , 2004, Fuzzy Sets Syst..

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

[24]  C. H. Chen,et al.  Positioning and tracking of a linear motion stage with friction compensation by fuzzy logic approach. , 2007, ISA transactions.

[25]  W. Gharieb,et al.  Fuzzy intervention in PID controller design , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[26]  Jing Wang,et al.  Active disturbance rejection control for fractional-order system. , 2013, ISA transactions.

[27]  Jan Swevers,et al.  The generalized Maxwell-slip model: a novel model for friction Simulation and compensation , 2005, IEEE Transactions on Automatic Control.