A Reduced-Order Model-Based Design of Event-Triggered Sliding-Mode Control

Event-triggered sliding-mode control (SMC) is an effective tool for stabilizing networked systems under external perturbations. In this chapter, a reduced-order model-based event-triggered controller is presented, unlike the case in the traditional full-order-based design. Besides its inherent advantage of reduced computations, this technique also offers many benefits to the network-based implementation. Particularly in the event-triggering scenario, the use of a reduced-order state vector shows an increase in the sampling interval (also called the inter-event time), leading to a sparse sampling sequence. This is the primary goal of almost all event-triggered controllers. The second outcome of this design is the transmission of a reduced-order vector over the network. Consequently, the transmission cost associated with the controller implementation can be reduced. This chapter exploits the aggregation technique to obtain a reduced-order model for the plant. The design of SMC and the event condition are carried out using this reduced-order model. The analysis of the closed-loop system is discussed using the reduced-order model without transforming it into a regular form. At the end, a practical example is considered to illustrate the benefit of the proposed technique.