Suboptimal Event-based Control of Linear Systems over Lossy Channels ⋆

The emergence of networked control systems urges the joint consideration of control and communications. It is well known that event-based controllers outperform standard timetriggered designs, when the transmission rate is constrained. This paper considers the design of suboptimal event-based controllers in the presence of packet loss and delayed acknowledgement for linear stochastic systems. The design objective consists of a quadratic cost reflecting the control performance and a communication penalty term. Based on various restrictions on the control design, optimal solutions within the corresponding class of event-based controller are derived. A numerical validation illustrates the effectiveness of the proposed event-triggers and gives a comparison to the optimal time-triggered controller.