Switching Control of Nonlinear Systems Based on the Quasi-ARX Model and the SVR Algorithm

WANG Lan; DONG Yiping; CAO Jinde

doi:10.21656/1000-0887.430122

Volume 43 Issue 11

Nov. 2022

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WANG Lan, DONG Yiping, CAO Jinde. Switching Control of Nonlinear Systems Based on the Quasi-ARX Model and the SVR Algorithm[J]. Applied Mathematics and Mechanics, 2022, 43(11): 1281-1287. doi: 10.21656/1000-0887.430122

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Switching Control of Nonlinear Systems Based on the Quasi-ARX Model and the SVR Algorithm

doi: 10.21656/1000-0887.430122

1.
Department of Fundamental Courses, Wuxi Insitute of Technology, Wuxi, Jiangsu 214121, P.R.China
2.
China Key System Co. Ltd. , Wuxi, Jiangsu 214063, P.R.China
3.
School of Mathematics, Southeast University, Nanjing 211189, P.R.China

Received Date: 2022-04-07
Rev Recd Date: 2022-04-29

Available Online: 2022-11-08

Publish Date: 2022-11-30

Abstract

Abstract

A nonlinear switching control method was proposed based on an improved quasilinear autoregressive with exogenous inputs (quasi-ARX) radial basis function (RBF) network model and the support vector regression (SVR) algorithm. The RBF network was chosen as the nonlinear part of the improved quasi-ARX prediction model. The proposed controller design method was divided into 3 steps: firstly, the nonlinear parameters of the model were determined with the clustering method; secondly, the linear SVR algorithm was used to solve the robustness problem of the control system; thirdly, the switching criterion function was given based on the control error, and the control sequence were determined according to the switching law. Finally, a numerical example was given to verify the effectiveness of the proposed method.
- quasi-ARX model,
- stability,
- support vector regression,
- nonlinear switching control

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References(19)

References

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