OPTIMAL CONTROL IN THE SWITCHED FUZZY MODELS OF MANAGEMENT PROCESSES
Keywords:
switching control, Takagi-Sugeno model, fuzzy dynamic system, energy efficiency index, energy minimization.Abstract
This paper deals with the problem of designing minimum-energy control for a class of Takagi-Sugeno continuous-time dynamical systems. The work is focused on fulfillment of the switching law for submodels. The proposed approach is based on Bellman’s principle of optimality. The comparison of crisp switching and fuzzy models is conducted to demonstrate the effectiveness of the fuzzy model to optimize the energy efficiency index. The different combination of crisp and fuzzy parts for the optimization problem is discussed as future topical trends of studies. All results are illustrated with examples.
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References
2 A Guide to the Project Management Body f Knowledge (PMBOK ® Guide) - Fifth Edition. - Project Management Institute, 2013. - 589 p.
3 Energy Management ІSO 50001:2012 "energy management systems. Requirements with guidance for use" (in russian)
4 Enrique Zuazua: Switching control. Basque (2008)
5 Zhendong Sun, Shuzhi Sam Ge: Stability Theory of Switched Dynamical Systems. Springer, Lodnon (2011)
6 Egerstedt M., Wardi Y., and Delmotte F.: Optimal Control of Switching Times in Switched Dynamical Systems School of Electrical and Computer Engineering
7 Georgia Institute of Technology Atlanta, GA 30332, USA (2004)
8 Lam H.K., Leung Frank H.F., and Tam Peter K.S.: A Switching Controller for Uncertain Nonlinear Systems. IEEE Control Systems Magazine (2002)
9 Hong Yang, Le Zhang, and Xiaodong Liu: Robust Tracking Control for Switched Fuzzy Systems with Fast Switching Controller. Hindawi Publishing Corporation
10 Mathematical Problems in Engineering, Volume 2012, Article ID 872826 (2012)
11 McGraw-Hill Dictionary of Scientific & Technical Terms (2003)
12 Desineni Subbaram Naidu: Optimal control systems. CRC PRESS (2003)