Stabilisation and control of a class of discrete-time nonlinear stochastic output-dependent system with random missing measurements
International Journal of Control
backstepping, Discrete-time nonlinear stochastic systems, missing measurements, observer, stochastic stability
Control and stabilisation of a class of discrete-time output-dependent nonlinear stochastic system subject to missing measurements is tackled in this article. First, a Bernoulli-distributed white sequence satisfying a known conditional probability distribution is introduced into the output measurement equation to describe the missing measurement phenomenon. Then, an observer-based controller is designed by employing the backstepping technique and the stability of the resulting closed-loop system is investigated by utilising the Lyapunov stability theory. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed control scheme.
Saif, Mehrdad; Liu, Bing; and Fan, Huijin. (2017). Stabilisation and control of a class of discrete-time nonlinear stochastic output-dependent system with random missing measurements. International Journal of Control, 90 (8), 1678-1687.