Event-based control with incomplete state measurement and guaranteed performance

Abstract

The present paper proposes a novel method for the design of event-based controllers for the disturbance rejection in systems for which only a part of the state is measurable. The design approach is based on the decomposition of the system into subsystems where the state is either measurable or not accessible for measurement. The triggering conditions of the event-based controllers solely depend upon the measurable states. The idea of the design approach is to adjust the triggering conditions such that the deviation between the disturbance rejection behavior of the event-based control system and a continuous-time state-feedback system is less than a desired bound, which is defined as level of performance. This design method is formulated as a linear programming problem. The design of the triggering conditions and the behavior of the event-based control system is illustrated for an interconnected two-tank system.