Abstract
When the mixed sensitivity method is applied to the system design, the model of the augmented plant is often not satisfied with the standard H∞ control problem. Because of the rank \( D_{12} \) assumption, the design problem cannot be solved. In order to solve this problem, the augmented model of the system is established, and the selection of a decimal number is analyzed. The principle of selecting decimals in full rank \( D_{12} \) design is given, and the simulation of magnetic suspension system is carried out, which shows that the wrong design results can be easily obtained if the decimals are not properly chosen. This paper also points out that the Bode integral constraint should be taken into account in the design, based on which the weight function can be selected reasonably to achieve a better performance. The analysis method given in this paper is generally applicable to controlled plants whose direct transfer coefficient matrix is equal to zero.
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References
Wang, G., He, Z.: Control System Design. Tsinghua University Press, Bei**g (2008)
He, Z., Wang, Y., Meng, F., et al.: Magnetic Levitation System: an application of the Bode’s theorem. Electr. Mach. Control 11(3), 253–256 (2007)
Meng, F., He, Z., Wang, Y.: H∞ state feedback design of Maglev system. J. Electr. Mach. Control 12(1), 89–92 (2008)
Wang, G., Yuan, X.: H∞ control: 2-block or 3-block problem. Electr. Mach. Control 5(2), 81–83 (2005)
Sinha, P.K., Pechev, A.N.: Nonlinear H ∞ controllers for electromagnetic suspension systems. IEEE Trans. Autom. Control 49(4), 563–568 (2004)
Meng, F., He, Z., Wang, Y., et al.: Linearization of a nonlinear system. Electr. Mach. Control 12(1), 89–92 (2007)
Wu, X., **e, X.: H∞ robust control. J. Tsinghua Univ. 37(1), 27–30 (1997)
Xue, D.: Computer Aided Design of Control System. Tsinghua University Press, Bei**g (2005)
Acknowledgements
Manuscript received April 7, 2018. This work was supported in part by the Doctoral Foundation of Liaoning Province (No. 20170520333), the Fundamental Research Funds for the Central Universities (No. N182304010), the Doctoral Foundation of Hebei Province (No. F2019501012).
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Yu, M., Yang, J., Meng, F., Niu, Y. (2020). Mixed Sensitivity Design of Magnetic Suspension System. In: Wang, R., Chen, Z., Zhang, W., Zhu, Q. (eds) Proceedings of the 11th International Conference on Modelling, Identification and Control (ICMIC2019). Lecture Notes in Electrical Engineering, vol 582. Springer, Singapore. https://doi.org/10.1007/978-981-15-0474-7_28
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DOI: https://doi.org/10.1007/978-981-15-0474-7_28
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