The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the input and output signals travel through an unreliable network, namely Gilbert-Elliot channels. In particular, the input/output packet losses are modeled by Bernoulli sequences, and we assume that the moments of the non-Gaussian noises up to the fourth order are known. By mean of a suitable rewriting of the system through an intermittent output injection term, and by considering an augmented system with the second-order Kronecker power of the measurements, a simple solution is provided by substituting the Kalman predictor with intermittent observations of the LQG control law with a quadratic optimal predictor. Numerical simulations show the effectiveness of the proposed method.
2020, Proceedings of the American Control Conference, Pages 2802-2807
LQ non-Gaussian Control with I/O packet losses (04b Atto di convegno in volume)
Battilotti S., Cacace F., D'Angelo M., Germani A., Sinopoli B.
Gruppo di ricerca: Nonlinear Systems and Control