This paper introduces event-triggered and self-triggered control systems, which are designed to reduce the frequency of sensor and control computations and communications in resource-constrained wireless embedded control systems. Event-triggered control reacts to system conditions, such as when the plant state deviates from a desired value, to trigger sensor sampling and control actuation. Self-triggered control, on the other hand, proactively computes the next sampling or actuation instance based on predictions using previously received data and plant dynamics. The paper discusses the differences between state feedback and output feedback for event-triggered control and how these strategies can be implemented using existing wireless communication technology. It also presents applications of these control strategies in wireless control systems for process industries. The paper provides an overview of the key ideas in event-triggered and self-triggered control, including the use of output-based event-triggered control and event-based control over wireless communication networks. The paper also discusses the implementation of event-triggered control in continuous-time and discrete-time systems, as well as the use of observers and direct output-based control laws. The paper concludes with a discussion of the advantages and challenges of event-triggered and self-triggered control in wireless communication systems.This paper introduces event-triggered and self-triggered control systems, which are designed to reduce the frequency of sensor and control computations and communications in resource-constrained wireless embedded control systems. Event-triggered control reacts to system conditions, such as when the plant state deviates from a desired value, to trigger sensor sampling and control actuation. Self-triggered control, on the other hand, proactively computes the next sampling or actuation instance based on predictions using previously received data and plant dynamics. The paper discusses the differences between state feedback and output feedback for event-triggered control and how these strategies can be implemented using existing wireless communication technology. It also presents applications of these control strategies in wireless control systems for process industries. The paper provides an overview of the key ideas in event-triggered and self-triggered control, including the use of output-based event-triggered control and event-based control over wireless communication networks. The paper also discusses the implementation of event-triggered control in continuous-time and discrete-time systems, as well as the use of observers and direct output-based control laws. The paper concludes with a discussion of the advantages and challenges of event-triggered and self-triggered control in wireless communication systems.