Stochastic optimal control of networked control systems with control packet dropouts

This paper considers the stochastic optimal control problem for networked control systems (NCSs) with control packet dropouts. The proportional plus up to the third-order derivative (PD3) compensation strategy is adopted to compensate for control packet dropouts at the actuator by using the past control packets stored in the buffer. Based on the strategy, a new NCS structure model with packet dropouts is provided, where the packet dropout is assumed to obey the Bernoulli random binary distribution. In terms of the given model, the stochastic optimal control law is proposed. Numerical examples illustrate the effectiveness of the results.