Abstract
This article considers the finite-time adaptive control problem of nonlinear systems with quantized input signal. Compared with existing results, the quantized parameters are unknown and the bound of the disturbance is not required. By utilizing the command filter backstepping method, an adaptive switching-type controller is designed and a novel switching mechanism is also proposed. By regulating the controller parameters online, practical finite-time stability can be guaranteed for the closed-loop system. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
Highlights
In recent years, nonlinear quantized systems have attracted great attention because of the application of digital control systems and networked systems [1], [2]
Backstepping-based adaptive stabilization was considered for strict-feedback nonlinear systems with the quantized input signal in [3]
In [4], a simple adaptive backstepping method was proposed such that the Lipschitz conditions required in [3] were removed
Summary
Nonlinear quantized systems have attracted great attention because of the application of digital control systems and networked systems [1], [2]. Finite-time stability has unique advantages, such as faster convergence, higher accuracy, and wonderful disturbance rejection [8]–[10] Considering these factors, a finite-time control problem was solved for strict-feedback nonlinear systems with input quantization in [11]–[13]. It is a challenging and difficult problem to design an adaptive finite-time controller for nonlinear quantized systems whose quantized parameters are totally unknown. Motivated by the aforementioned discussions, command-filter-based adaptive finite-time control is considered for a class of nonlinear systems with the quantized input signal, unknown control direction, and. Based on the command filter and the modified error compensation system, a novel adaptive finite-time controller is designed.
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