Abstract

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.

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