Quantiser-based Hands-off control for robust [𝒦, 𝒦ℒ] sector

This article discusses a quantiser-based stabilisation problem for uncertain nonlinear systems with the aid of robust [K,KL] sector. We confirmed that the quantised-feedback control steers the state trajectories of the uncertain nonlinear systems within the robust [K,KL] sector in finite time by adjusting the quantisation parameters. Furthermore, control-Lyapunov functions are helpful to obtain sufficient conditions for ensuring the closed-loop system's asymptotic stability and the reachability of the robust [K,KL] sector. Finally, a nonlinear electronic circuit is provided to test the effectiveness of the designed control law.