Control of Inverted Pendulum system by using a new robust model predictive control strategy

This paper presents a method to design a predictive controller for a single Inverted Pendulum (SIP) system. The design goal is to balance the pendulum in the inverted position in the presence of parameter variations and measurement white noise Using linearization technique, the model of SIP system is transformed to a linear polytopic system. Since we need to estimation of states, a new robust model predictive control (RMPC) strategy is developed for this system with considering white measurement noise. Simulation results are presented to show the robustness of the closed-loop system against parameter variations and measurement white noise.

[1]  Mark W. Spong,et al.  Mechanical Design and Control of the Pendubot , 1995 .

[2]  B. Kouvaritakis,et al.  Receding horizon output feedback control for linear systems with input saturation , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[3]  Baocang Ding,et al.  A synthesis approach for output feedback robust constrained model predictive control , 2008, Autom..

[4]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[5]  Abdellah Benzaouia,et al.  LMI-based approach for output-feedback stabilization for discrete time Takagi-Sugeno systems , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[6]  David Q. Mayne,et al.  Robust output feedback model predictive control of constrained linear systems , 2006, Autom..

[7]  Jianqiang Yi,et al.  Swing up pendubot with a GA-tuned bang-bang controller , 2003, IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, 2003. Proceedings. 2003.

[8]  Zhiquan Feng,et al.  Energy-Based Control for a Class of Under-Actuated Mechanical Systems , 2008, 2008 Congress on Image and Signal Processing.

[9]  Rogelio Lozano,et al.  Energy based control of the Pendubot , 2000, IEEE Trans. Autom. Control..

[10]  Masahiro Kaneda,et al.  THE SWING UP CONTROL FOR THE PENDUBOT BASED ON ENERGY CONTROL APPROACH , 2002 .

[11]  S. O. Reza Moheimani,et al.  Model Predictive Control Applied to Constraint Handling in Active Noise and Vibration Control , 2008, IEEE Transactions on Control Systems Technology.

[12]  Mark W. Spong,et al.  The Pendubot: a mechatronic system for control research and education , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[13]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.