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Wu, Jing; Sun, Wei; Su, Shun-Feng; Wu, Yuqiang

Adaptive quantized control for uncertain nonlinear systems with unknown control directions. (English) Zbl 1527.93229

Int. J. Robust Nonlinear Control 31, No. 17, 8658-8671 (2021).
Summary: This study reports adaptive quantized control for a class of uncertain strict-feedback nonlinear systems with unknown control directions. Combining backstepping technique and Lyapunov stability theory, a systematic analysis method is designed. Based on the disintegration of the hysteresis quantizer, a Nussbaum-based scheme can be developed to get over the obstacle of the quantized input signal and unknown control directions. Moreover, the number of adaptive laws is small, thereby reducing the computational burden. Then we testify the boundedness of all signals in the closed-loop system. Besides, the tracking error can converge to an arbitrarily small domain of origin. Finally, a simulation example is provided to verify the feasibility of the control scheme.
{© 2021 John Wiley & Sons Ltd.}

Cited in 5 Documents

MSC:

93C40 Adaptive control/observation systems
93B52 Feedback control
93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory

Keywords:

adaptive tracking control; hysteresis quantizer; Nussbaum function; unknown control directions
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References:

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