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A T-S fuzzy based adaptive critic for continuous-time input affine nonlinear systems

Biomedical Sciences Research Institute Computer Science Research Institute Environmental Sciences Research Institute Nanotechnology & Advanced Materials Research Institute

P, Prem Kumar, Behera, Laxmidhar, Siddique, NH and Prasad, G (2009) A T-S fuzzy based adaptive critic for continuous-time input affine nonlinear systems. In: 2009 IEEE International Conference on Systems, Man and Cybernetics, San Antonio, USA. IEEE. 6 pp. [Conference contribution]

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URL: http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5346793&searchWithin%3DAuthors%3A.QT.Prem%2C+K.P..QT.%26openedRefinements%3D*%26searchField%3DSearch+All

DOI: 10.1109/ICSMC.2009.5346793

Abstract

This paper proposes a novel scheme of a Takagi-Sugeno (T-S) fuzzy based adaptive critic for the optimal control of the continuous-time input affine nonlinear system. A novel learning strategy is proposed to update the weights of critic network which resolves the issue of under-determined weight update equations discussed in previous paper. The T-S fuzzy based critic network approximates the global optimal cost as fuzzy average of local costs associated with local linear subsystems. This work clearly demonstrates that the optimal cost of a nonlinear system can be represented as the fuzzy cluster of optimal costs of locally valid linear models in a T-S framework. The proposed scheme has been simulated for four different dynamic systems. Simulation results clearly demonstrate that the T-S fuzzy approximates the optimal cost, with subsystems in each fuzzy zone represents the optimal cost of locally valid linear model.

Item Type:Conference contribution (Paper)
Faculties and Schools:Faculty of Computing & Engineering
Faculty of Computing & Engineering > School of Computing and Intelligent Systems
Research Institutes and Groups:Computer Science Research Institute
Computer Science Research Institute > Intelligent Systems Research Centre
ID Code:12215
Deposited By:Professor Girijesh Prasad
Deposited On:09 Mar 2010 12:38
Last Modified:09 May 2011 09:42

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