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Adaptive digital control of Hammerstein nonlinear systems with limited output sampling. (English) Zbl 1126.93034

Summary: 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.

MSC:

93C40 Adaptive control/observation systems
93E10 Estimation and detection in stochastic control theory
93C10 Nonlinear systems in control theory
93B17 Transformations
93E24 Least squares and related methods for stochastic control systems
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