Event-Triggered Impulsive Control for Nonlinear Systems: The Control Packet Loss Case
Haitao Zhu, Jianquan Lu, Jungang Lou
Abstract
This brief investigates a class of nonlinear systems with packet loss phenomenon and external disturbance utilizing impulsive control. For the purpose of reducing the burden of information interaction and controller update in control strategy, we construct a hybrid event-triggered mechanism ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ETM</i> ), where the possible Zeno behaviour can be excluded with less limitations on event parameters. By characterizing control packet loss phenomenon via impulse packet loss rate ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">iPLR</i> ) conditions, the problems of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ISS</i> analysis and control strategy design are solved by means of a series of sufficient conditions formulated by <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">LMIs</i> , from which the constraint relationships among rate coefficients, event parameters, and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">iPLR</i> are revealed. Finally, to show the usefulness of our results, an example is proposed.