Stabilization Control Design With Parallel-Triggering Mechanism

This paper investigates a problem of stabilization control design. A novel triggering mechanism, called parallel-triggering mechanism, is proposed to handle the stabilization of nonlinear/linear systems. Compared with the existing triggering conditions, through fully considering the relationship between the variation of the Lyapunov function and the variation of system states, we propose the parallel-triggering mechanism, without the requirement that the derivative of the Lyapunov function is negative at all-time instants. Under the new parallel-triggering mechanism, the number of executions of control tasks can be significantly reduced and the similar stability performance can be kept. Particularly, the existing event-triggered conditions can be seen as special cases of the proposed parallel-triggering mechanism. Theoretical analysis and simulation results are given to show the advantages of the proposed mechanism in this paper.