Abstract
In the dynamic decoupling fuzzy control system, if singular or rectangle matrices are encountered in the state equation, the only way is to consider the decoupling control over partial states of the system. This paper presents a new conclusion with fewer parameters by virtue of generalized inverse matrix and realized decoupling fuzzy control over the system with multiple variables, which demonstrates good control effect.
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References
Zhang, W., Lu, J., Wu, F.: Introduction to Advanced Control Theory and Method, pp. 98–162. Northwest University of Technology Press, Xian (2000)
Cheng, P., Wang, Y.: Fundamentals of Modern Control Theory, pp. 1–143. Beijing Aerospace University Press, Beijing (2004) (in Chinese)
Gong, L.: Modern Tuning Techniques-Basic Theory and Analytic Approaches, pp. 133–291. South-east University Press, Nanjing (2003) (in Chinese)
Horn, R.A., Johnson, C.R.: Matrix Analysis, pp. 198–263. Cambridge University Press, Landon (1985)
Chen, Y.: Disturbance of Matrix and Its Generalized Inverse. Journal of Applied Mathematics 9(2), 319–327 (1986)
Xu, Z., Lu, Q.: Inverse and Generalized Inverse of Centrally and Anti-centrally Symmetric Matrix. Shuxue Tongbao 7, 37–42 (1998)
Jiang, Z., Shi, G.: Matrix Theory and Its Applications, pp. 87–192. Beijing Aviation College Press, Beijing (1988) (in Chinese)
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Fan, QM. (2011). A Study of Dynamic Decoupling Fuzzy Control Systems by Means of Generalized Inverse Matrix. In: Deng, H., Miao, D., Wang, F.L., Lei, J. (eds) Emerging Research in Artificial Intelligence and Computational Intelligence. AICI 2011. Communications in Computer and Information Science, vol 237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24282-3_5
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DOI: https://doi.org/10.1007/978-3-642-24282-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24281-6
Online ISBN: 978-3-642-24282-3
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