Asynchronous $L_{1}$ Tracking Control of Switched Positive Systems With Actuator Saturation

The asynchronous <inline-formula> <tex-math notation="LaTeX">$L_{1}$ </tex-math></inline-formula> output tracking control problem for switched positive linear systems is studied in this paper. The sufficient conditions for the solvability of the asynchronous output tracking problem are developed with the co-positive Lyapunov function and the average dwell time method. The <inline-formula> <tex-math notation="LaTeX">$L_{1}$ </tex-math></inline-formula> tracking performances are obtained by virtue of designing controllers. Finally, a simulation example for the main results is performed to validate the effectiveness of the method and its improvements.

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