Adaptive Finite-Time Control of Nonlinear Quantized Systems With Actuator Dead-Zone

Abstract

This paper investigates a finite-time control problem of nonlinear quantized systems with actuator dead-zone in a non-strict feedback form. By combining a simplified dead-zone model and the sector-bound characteristic of a hysteretic quantizer, the control difficulties caused by the coexistence of unknown actuator dead-zone and control signal quantization effect are overcome. By applying the approximation ability of neural network systems, an novel neural adaptive controller is constructed, which can compensate the unknown control gain. The designed neural controller can ensure the transient performance of nonlinear quantized systems with actuator dead-zone in finite-time. Based on the Bhat and Bernstein theorem, the finite-time stability of system is proved. Finally, a numerical example is given to verify the validity of the proposed approach.INDEX TERMS Adaptive neural control, backstepping technique, unknown dead-zone, nonlinear quantized systems, finite-time stability.

Adaptive finite‐time tracking control for output‐constrained nonlinear systems with non‐strict‐feedback structure

“…Therefore, the system structure is more general than the previous results. In addition, different from these works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][35][36][37][38][39][40][41][42][43][44][45][46][47][48] this article presents another challenge: how to handle the phenomenon of output constraints.…”

“…On the base of the Lyapunov stability theory in References and , the finite‐time stability issues of nonlinear systems were discussed by many authors . Among them Lv et al and Liu et al designed the control programs for a class of nonlinear systems with hysteretic characteristics Wang et al, Chen et al and Yang et al discussed the finite‐time stability of time‐varying delay systems by adopting more appropriate Lyapunov‐Krasovskii functional Wang et al and Liu et al proposed the finite‐time control schemes for the nonlinear system with actuator failures Liu et al, Gao et al and Li et al investigated several finite‐time tracking control schemes for a class of nonlinear systems with dead‐zone, Wang et al and Zhang et al proposed the adaptive finite‐time control design schemes for a kind of nonlinear quantized systems. It should be noted that the above work does not consider the case where the system output is constrained.…”

“…In addition, in comparison with the current literatures on constrained systems, a series of finite‐time control schemes were constructed in References . The control strategies in References cannot ensure that the tracking error always stays in the prescribed proper range. To prevent the violation of output constraints, BLF is used in this article to ensure that the system output is constrained within a specified area and the tracking error remains in a prescribed appropriate bound.…”

“…On the base of the Lyapunov stability theory in References 35 and 36, the finite-time stability issues of nonlinear systems were discussed by many authors. [37][38][39][40][41][42][43][44][45][46][47][48][49][50] Among them Lv et al 37 and Liu et al 38 designed the control programs for a class of nonlinear systems with hysteretic characteristics Wang et al, 39 Chen et al 40 It should be noted that the above work [35][36][37][38][39][40][41][42][43][44][45][46][47][48] does not consider the case where the system output is constrained. As far as we know, there are two articles 49,50 on finite-time output-constrained nonlinear systems.…”

“…The existing results in References cannot be directly applied to our article, since these works do not consider the output constraint effects. In addition, in comparison with the current literatures on constrained systems, a series of finite‐time control schemes were constructed in References . The control strategies in References cannot ensure that the tracking error always stays in the prescribed proper range.…”