Event-triggered control design for a class of nonlinear differential systems.

Lê Huy Vũ1, , Hong Tran Thi1, Tho Nguyen Thi1, Thanh Thuy Nguyen Thi1, Thuong Yen Hoang Thi1, Viet Phuong Hoang Thi1
1 Hong Duc University

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Abstract

This paper focuses on analyzing the stability problem and designing an event-triggered control law for a class of nonlinear differential equations. First, an appropriate event-triggered mechanism is constructed for the considered system class. Next, by selecting a suitable Lyapunov function combined with necessary estimation techniques, sufficient conditions are established in the form of Linear Matrix Inequalities (LMIs) to guarantee the stability of the closed-loop system. On this basis, an event-triggered state feedback control law is systematically synthesized. Furthermore, for the special case where the system reduces to a linear form, a corresponding result is obtained as a corollary. Finally, numerical examples are presented to illustrate and validate the effectiveness of the proposed method.

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References

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