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| Estimation of Performance Benchmark for a Class of Nonlinear Control Systems |
| ZHANG Zhi, HU Li-Sheng |
| (Department of Automation, Shanghai Jiaotong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, China) |
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Abstract An estimation problem of the performance benchmark is considered when the control loop is intervened by the complex nonlinearity. The nonlinearity includes control valve stiction and switching action of the protection valve. The proposed method is based on the threshold nonlinear autoregressive exogenous (TNARX) model. The input and output routine operating data are partitioned if they reaches the certain thresholds. Modeling each partitioned regime as a NARX model, then the prediction error variance as the performance benchmark can be obtained by the principle of pooled variance. By comparison with polynomial autoregressive, polynomial autoregressive exogenous and selfexciting threshold autoregressive models, a simulation example shows the effectiveness and advantage of the proposed method.
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Received: 20 March 2011
Published: 30 August 2011
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