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Robust output feedback control of nonlinear stochastic systems using neural networks

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2 Author(s)
Battilotti, S. ; Dipt. di Informatica e Sistemistica, La Sapienza Univ., Rome, Italy ; De Santis, A.

We present an adaptive output feedback controller for a class of uncertain stochastic nonlinear systems. The plant dynamics is represented as a nominal linear system plus nonlinearities. In turn, these nonlinearities are decomposed into a part, obtained as the best approximation given by neural networks, plus a remaining part which is treated as uncertainties, modeling approximation errors, and neglected dynamics. The weights of the neural network are tuned adaptively by a Lyapunov design. The proposed controller is obtained through robust optimal design and combines together parameter projection, control saturation, and high-gain observers. High performances are obtained in terms of large errors tolerance as shown through simulations.

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Neural Networks, IEEE Transactions on  (Volume:14 ,  Issue: 1 )