Adaptive digital control of Hammerstein nonlinear systems with limited output sampling

作者：Ding Feng^*; Chen Tongwen; Iwai Zenta

来源：SIAM Journal on Control and Optimization, 2007, 45(6): 2257-2276.

DOI：10.1137/05062620X

• Hammerstein systems
• sampled-data systems
• multirate modeling
• self-tuning regulator
• adaptive control
• dual-rate systems
• convergence properties
• least squares methods

This paper is motivated by the practical control considerations that nonlinearity is abundant in industrial processes and output sampling rates are often limited due to hardware constraints. In particular, for a Hammerstein nonlinear sampled-data system in which the output sampling period is an integer multiple of the input updating period, we derive, by using a polynomial transformation technique, a mathematical model which is suitable for parameter estimation with dual-rate measurement data. Further, we present an adaptive control scheme for such a dual-rate nonlinear system; the parameter estimation-based adaptive algorithm can achieve virtually asymptotically optimal control and ensure that the closed-loop system is stable and globally convergent. The simulation results are included.

• 出版日期2007
• 单位江南大学