On a state space approach to nonlinear H∞ control
Systems & Control Letters
A course in fuzzy systems and control
A course in fuzzy systems and control
Stable and optimal fuzzy control of linear systems
IEEE Transactions on Fuzzy Systems
Optimal fuzzy controller design: local concept approach
IEEE Transactions on Fuzzy Systems
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In this paper, a real-time optimal control technique for control the liquid level and temperature in a continuous stirred tank reactor (CSTR) in a pilot plant is proposed. The control system makes use of the Pontryagin's Minimum Principle and from a new back propagation algorithm of the final co-state error, allowing the training of an adaptive fuzzy inference system to estimate values for the optimal co-state variables. These strategies are employed for designing approximate optimal controllers via a control variable discretization. This approach allows the on-line solution of the optimal control problem by training the system, which can be used on a close-loop control strategy. The control system design is developed by minimizing a quadratic performance index selected for the desired operating conditions. The control simulations results are presented.