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Transactions of the Institute of Measurement and Control
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OFS Model-Based Adaptive Control for Block-Oriented Non-Linear Systems

Haitao Zhang

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P.R.C., Department of Automation, University of Science and Technology of China, Hefei, 230027, P.R.C., zht{at}mail.ustc.edu.in

Chi Zhang

Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, P.R.C

Zonghai Chen

Department of Automation, University of Science and Technology of China, Hefei, 230027, P.R.C

Ming Li

Department of Automation, University of Science and Technology of China, Hefei, 230027, P.R.C

Wei Xiang

Department of Automation, University of Science and Technology of China, Hefei, 230027, P.R.C

A non-linear state feedback algorithm based on an OFS (orthonormal functional series) model combined with Volterra Functional Series is proposed to solve block-oriented non-linear systems. This algorithm has excellent approximation ability for the variance of system time-delay, and can guarantee the closed-loop robust stability and the zero steady-state error property. In addition, it has lower online optimization computational load when dealing with the hard input constraints in contrast to traditional NMPC (non-linear model predictive control) based on the OFS model. The analyses of the stability and robustness of this algorithm are put forward systemically, and the steady-state performance analysis is also given. Case studies involving simulations on a Wiener-type non-linear system and temperature experiments on a simulation chemical reactor are used to validate the efficiency and superiority of this proposed algorithm.

Key Words: block-oriented non-linearity • OFS model • stability • Volterra functional series

Transactions of the Institute of Measurement and Control, Vol. 28, No. 3, 209-218 (2006)
DOI: 10.1191/0142331206tim170oa
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 Transactions of the Institute of Measurement and ControlHome page
H.-T. Zhang, L. Tischenko, and P.-Z. Yu
A novel adaptive control algorithm based on non-linear Laguerre--Volterra observer
Transactions of the Institute of Measurement and Control, April 1, 2009; 31(2): 129 - 151.
[Abstract] [PDF]