The Optimal Boundary and Regulator Design Problem for Event-Driven Controllers

Event-driven control systems provide interesting benefits such as reducing resource utilization. This paper formulates the optimal boundary and regulator design problem that minimizes the resource utilization of an event-driven controller that achieves a cost equal to the case of periodic controllers. 1 Event-Driven Control System Model We consider the control system ˙x(t) = A x(t) + B u(t) y(t) = C x(t) (1) with x ∈ Rn×1 , A ∈ Rn×n , B ∈ Rn×m , u ∈ Rm×1 , and C ∈ R1×n . Let u(t) = uk = L x(ak) = L xk ∀t ∈ [ak, ak+1[ (2) be the control updates given by a linear feedback controller designed in the continuous-time domain but using only samples of the state at discrete instants a0, a1, . . . , ak, . . . Between two consecutive control updates, u(t) is held constant. In periodic sampling we have ak+1 = ak + h, where h is the period of the controller. Let ek(t) = x(t)−xk be the error evolution between consecutive samples with t ∈ [ak, ak+1[. For several types of eve...

• Type: Conference
• Year: 2009
• Where: HYBRID
• Authors: Pau Martí, Manel Velasco, Enrico Bini
• Keywords: Event-driven Control, Event-driven Control System, HYBRID 2009, Hybrid Systems, Resource Utilization