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Quadratic optimal fuzzy control

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Resumo(s)

One presents a fuzzy logic approach for optimal control of discrete-time nonlinear dynamic systems with a quadratic criterion. The approach is based on Pontryagin’s Minimum Principle. Using back propagation from the final co-state error and gradient descent, a method is devised which allows for training an adaptive fuzzy inference system to estimate values for the co-state variables converging to the optimal ones. In turn this implies that the controlled variables trajectories also converge to the optimal ones. The approach allows finding a solution to the optimal control problem on-line, by training of the system, rather than by pre computing it. In particular, the use of an adaptive fuzzy inference system also will allow incorporating a priori knowledge about the optimal behavior of the co-state variable and track changes in the system.

Descrição

Palavras-chave

Fuzzy systems Optimal

Contexto Educativo

Citação

Salgado, Paulo; Igrejas, Getúlio; Garrido, Paulo (2006). Quadratic optimal fuzzy control. In ANIPLA International Congress on Methodologies for Emerging Technologies in Automation. Roma

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