Tracking Control of Timed Continuous Petri Net Systems under Infinite Servers Semantics

Abstract A Lyapunov-function-based control algorithm is proposed for timed continuous Petri Net (contPN) systems working under infinite servers semantics. A timed contPN is a switched linear system and its control signal must be non-negative and upper bounded by a function of system states. An input variable transformation is applied to convert the system to a set of integrators plus static constraints. Then, a low-and-high gain algorithm is proposed for step-tracking. To improve transient performance, planning of the reference target is further discussed.