A self-tuning control method for Wiener nonlinear systems and its application to process control problems

doi:10.1016/j.cjche.2016.07.003

Abstract

Abstract: Many chemical processes can bemodeled asWienermodels,which consist of a linear dynamic subsystemfollowed by a static nonlinear block. In this paper, an effective discrete-time adaptive control method is proposed for Wiener nonlinear systems with uncertainties. The parameterization model is derived based on the inverse of the nonlinear function block. The adaptive control method is motivated by self-tuning control and is derived from a modified Clarke criterion function, which considers both tracking properties and control efforts. The uncertain parameters are updated by a recursive least squares algorithm and the control law exhibits an explicit form. The closed-loop systemstability properties are discussed. To demonstrate the effectiveness of the obtained results, two groups of simulation examples including an application to composition control in a continuously stirred tank reactor (CSTR) system are studied.

Key words: Wiener systems, Adaptive control, Uncertainties, Stability, CSTR

摘要： Many chemical processes can bemodeled asWienermodels,which consist of a linear dynamic subsystemfollowed by a static nonlinear block. In this paper, an effective discrete-time adaptive control method is proposed for Wiener nonlinear systems with uncertainties. The parameterization model is derived based on the inverse of the nonlinear function block. The adaptive control method is motivated by self-tuning control and is derived from a modified Clarke criterion function, which considers both tracking properties and control efforts. The uncertain parameters are updated by a recursive least squares algorithm and the control law exhibits an explicit form. The closed-loop systemstability properties are discussed. To demonstrate the effectiveness of the obtained results, two groups of simulation examples including an application to composition control in a continuously stirred tank reactor (CSTR) system are studied.

关键词: Wiener systems, Adaptive control, Uncertainties, Stability, CSTR

Ping Yuan, Bi Zhang, Zhizhong Mao. A self-tuning control method for Wiener nonlinear systems and its application to process control problems[J]. , 2017, 25(2): 193-201.

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