The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the inputand output signals travel through an unreliable network,namely Gilbert-Elliot channels. In particular, the input/outputpacket losses are modeled by Bernoulli sequences, and weassume that the moments of the non-Gaussian noises up tothe fourth order are known. By mean of a suitable rewritingof the system through an intermittent output injection term,and by considering an augmented system with the second-orderKronecker power of the measurements, a simple solution is pro-vided by substituting the Kalman predictor with intermittentobservations of the LQG control law with a quadratic optimalpredictor. Numerical simulations show the effectiveness of theproposed method.

LQ non-Gaussian Control with I/O packet losses

CACACE F;
2020-01-01

Abstract

The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the inputand output signals travel through an unreliable network,namely Gilbert-Elliot channels. In particular, the input/outputpacket losses are modeled by Bernoulli sequences, and weassume that the moments of the non-Gaussian noises up tothe fourth order are known. By mean of a suitable rewritingof the system through an intermittent output injection term,and by considering an augmented system with the second-orderKronecker power of the measurements, a simple solution is pro-vided by substituting the Kalman predictor with intermittentobservations of the LQG control law with a quadratic optimalpredictor. Numerical simulations show the effectiveness of theproposed method.
2020
978-1-5386-8266-1
optimal control; non Gaussian systems; network control
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12610/15828
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