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• [P984] A T-S Fuzzy based Adaptive Critic for Continuous-time Input Affine Nonlinear Systems
  Author(s): Laxmidhar Behera, Prem Kumar P., Nazmul H. Siddique, Girijesh Prasad
  
  

  Abstract
  This paper proposes a novel scheme of a 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 \cite{swagat:07}. The T-S Fuzzy based critic network approximates the global optimal cost as fuzzy average of local costs associated with local linear subsystems. \emph{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 TS Fuzzy approximates the optimal cost, with subsystems in each fuzzy zone represents the optimal cost of locally valid linear model.

  
   

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