Predictive control for dual-rate systems based on lifted state-space model identified by N4SID method

We address a novel predictive control strategy for dual-rate systems in which the input updating period is different from the output sampling period based on lifted state-space model identified by a modified Numerical Subspace State-Space IDentification (N4SID). There are three steps in the predictive control strategy. Firstly, lifted state-space models are identified for dual-rate systems by the modified N4SID. Based on the identified lifted state-space model, we construct predictors which can predict the output of dual-rate systems in multi-step ahead. Combining the predictors with an objective function minimization, predictive control laws for dual-rate systems are derived.

[1]  K. Poolla,et al.  Robust control of linear time-invariant plants using periodic compensation , 1985 .

[2]  M. Araki,et al.  Multivariable multirate sampled-data systems: State-space description, transfer characteristics, and Nyquist criterion , 1986 .

[3]  Frank L. Lewis,et al.  Optimal Control , 1986 .

[4]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[5]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[6]  Li Qiu,et al.  H∞ design of general multirate sampled-data control systems , 1994, Autom..

[7]  Eduardo Fernandez-Camacho,et al.  Model Predictive Control in the Process Industry , 1995 .

[8]  Eduardo F. Camacho,et al.  Model predictive control in the process industry , 1995 .

[9]  Keck Voon Ling,et al.  A state space GPC with extensions to multirate control , 1996, Autom..

[10]  Li Qiu,et al.  Direct State Space Solution of Multirate Sampled-Data H2 Optimal Control , 1998, Autom..

[11]  Michel Gevers,et al.  SPC: Subspace Predictive Control , 1999 .

[12]  Jonathan P. How,et al.  Subspace based direct adaptive ℋ︁∞ control , 2001 .

[13]  Biao Huang,et al.  A data driven subspace approach to predictive controller design , 2001 .

[14]  Feng Ding,et al.  Hierarchical identification of lifted state-space models for general dual-rate systems , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Lennart Ljung,et al.  A novel subspace identification approach with enforced causal models , 2005, Autom..

[16]  Biao Huang,et al.  Multirate Minimum Variance Control Design and Control Performance Assessment: A Data-Driven Subspace Approach , 2007, IEEE Transactions on Control Systems Technology.

[17]  E. Camacho,et al.  Generalized Predictive Control , 2007 .

[18]  Biao Huang,et al.  Data-driven predictive control for solid oxide fuel cells , 2007 .

[19]  Zi‐Jiang Yang,et al.  Identification of Lifted Models for General Dual-Rate Sampled-Data Systems Using N4SID Algorithm , 2008 .

[20]  Bart De Moor,et al.  Subspace Identification for Linear Systems: Theory ― Implementation ― Applications , 2011 .