Anticipative Robust Design Applied to a Water Level Control System

In this paper, a discrete-time robust controller design method for optimal reference tracking in preview systems is validated on an experimental test bench. In the context of preview systems, it is supposed that future values of the reference signal are available a number of time steps ahead. The objective is to design a control algorithm that minimizes a quadratic error between the reference and the output of the system. The proposed solution combines a robust feedback controller with a feedforward anticipative filter. The theoretical description of this new approach is given and experimental results on a water level control system are presented.

[1]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[2]  Liu Hsu,et al.  Terrain model-based anticipative control for articulated vehicles with low bandwidth actuators , 2013, 2013 IEEE International Conference on Robotics and Automation.

[3]  S. Dijkstra,et al.  Simple Water Level Controller for Irrigation and Drainage Canals , 1999 .

[4]  Didier Dumur,et al.  Modeling and Preview $H_\infty$ Control Design for Motion Control of Elastic-Joint Robots With Uncertainties , 2016, IEEE Transactions on Industrial Electronics.

[5]  Jie Chen,et al.  Tracking sensitivity and achievable I performance in preview control , 2004, Autom..

[6]  Alexander G. Loukianov,et al.  ZMP based pattern generation for biped walking using Optimal Preview Integral Sliding Mode Control , 2013, 2013 13th IEEE-RAS International Conference on Humanoid Robots (Humanoids).

[7]  Alain Oustaloup,et al.  Fractional Order Differentiation and Robust Control Design , 2015 .

[8]  Gjerrit Meinsma,et al.  H2 control of preview systems , 2005 .

[9]  Fucheng Liao,et al.  Robust preview tracking control for a class of uncertain discrete-time systems , 2016 .

[10]  Alain Oustaloup,et al.  Stability of Closed Loop fractional Order Systems and Definition of damping Contours for the Design of Controllers , 2012, Int. J. Bifurc. Chaos.

[11]  Ahmad Akbari,et al.  Output feedback H ∞/GH 2 preview control of active vehicle suspensions: a comparison study of LQG preview , 2010 .

[12]  Jonathan P. How,et al.  A New Nonlinear Guidance Logic for Trajectory Tracking , 2004 .

[13]  Yuping Li,et al.  Offtake Feedforward Compensation for Irrigation Channels With Distributed Control , 2014, IEEE Transactions on Control Systems Technology.

[14]  Ju-Jang Lee,et al.  Explicit Path Tracking by Autonomous Vehicles , 1992, Robotica.

[15]  Rahim Rahmani,et al.  Design of High Accuracy Tracking Systems with H∞ Preview Control , 2014, Polytech. Open Libr. Int. Bull. Inf. Technol. Sci..

[16]  Tudor-Bogdan Airimitoaie,et al.  Gen eralized predictive controller performances in an anticipative context , 2017, 2017 14th International Multi-Conference on Systems, Signals & Devices (SSD).

[17]  M. Tomizuka Optimal continuous finite preview problem , 1975 .

[18]  Akira Kojima,et al.  H∞ performance of preview control systems , 2003, Autom..

[19]  Cheng Jianfen Fuzzy Preview Controller Design for Aircraft-pilot Closed Loop System , 2014 .

[20]  Alain Oustaloup,et al.  Fractional Order PID and First Generation CRONE Control System Design , 2015 .

[21]  Masayoshi Tomizuka,et al.  Adaptive preview control for piecewise discrete-time systems using multiple models , 2016 .

[22]  Thomas B. Sheridan,et al.  Three Models of Preview Control , 1966 .