Design of A Novel Feed-Forward Control Strategy for A Non-Minimum Phase System

This paper proposes a new feed-forward control strategy for a plant with non-minimum phase dynamics. A Feed-Forward controller is very essential for controlling plants with time-varying reference signals. However, designing this type of controller is a non-trivial problem in case the plant dynamics is non-minimum-phase. This is because, this controller design involves the concept of inversion of the plant model and inverse of a non-minimum-phase plant model is unstable or non-causal. For this problem, usually an approximate inversion of a plant model is applied. An approach with corrected-approximate-inverse (CAI) method is available for feed forward controller design. After analyzing the results and discussion of this CAI technique, it is seen that although it seems to be working perfectly for small duration of time but its performance is unsatisfactory in case of large span of time. Therefore, in this paper, a new feed-forward control strategy has been designed to erase the above said problem. This method has adopted a simple version of an internal plant-model structure in its time domain. The fixed-structure feed forward controller that is constructed using this method is usually a linear amalgamation of a reference trajectory and its time-derivatives with suitable weighting factors. This control strategy has been verified with appropriate simulation results applied to a studied plant and results are compared with that of the CAI technique.

[1]  Maciej Michalek Simple causal fixed-structure feedforward control law for general continuous-time LTI SISO systems , 2014, 2014 European Control Conference (ECC).

[2]  Michael R Buehner,et al.  Perfect tracking for non-minimum phase systems , 2010, Proceedings of the 2010 American Control Conference.

[3]  Daniel Y. Abramovitch,et al.  Analysis and comparison of three discrete-time feedforward model-inverse control techniques for nonminimum-phase systems☆ , 2012 .

[4]  Marcel François Heertjes,et al.  MIMO FIR feedforward design for zero error tracking control , 2014, 2014 American Control Conference.

[5]  Maciej Michalek Fixed-Structure Feedforward Control Law for Minimum- and Nonminimum-Phase LTI SISO Systems , 2016, IEEE Transactions on Control Systems Technology.

[6]  Qingze Zou,et al.  A review of feedforward control approaches in nanopositioning for high-speed spm , 2009 .

[7]  Pyung Hun Chang,et al.  Enhanced feedforward control of non-minimum phase systems for tracking predefined trajectory , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[8]  Qingze Zou,et al.  A Modeling-Free Inversion-Based Iterative Feedforward Control for Precision Output Tracking of Linear Time-Invariant Systems , 2013, IEEE/ASME Transactions on Mechatronics.

[9]  Alireza Karimi,et al.  Model-Free Precompensator Tuning Based on the Correlation Approach , 2008, IEEE Transactions on Control Systems Technology.

[10]  Lucy Y. Pao,et al.  Nonminimum Phase Dynamic Inversion for Settle Time Applications , 2009, IEEE Transactions on Control Systems Technology.