<p>In this paper, an adaptive backstepping approach for uncertain nonlinear systems with quantized inputs and full error constraints via event-triggered scheme and prescribed performance is addressed. First, the quantizer combined with a hysteresis quantizer and a uniform quantizer is applied, and a nonlinear decomposition strategy for this quantizer is provided. Then, by applying the finite-time performance function (FTPF) and relative threshold event-triggered strategy, the restricted error signals tend to the related specified regions in finite times under two different considered cases for known quantization parameter and unknown quantization parameter, respectively. Furthermore, it is worth pointing out that a dynamic surface control combined with nonlinear filter is depicted. Simultaneously, with the the help of a pivotal transformation of the control signal, the effect of measurement error in event-triggered scheme and the nonlinearity produced by quantizer, which always are the focuses, can be eliminated. By constructing appropriate barrier Lyapunov function (BLF), the stability of the closed-loop system can be secured. Finally, simulation results are shown to illustrate the effectiveness of our designed prescribed performance quantized control method.</p>

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Adaptive quantized prescribed performance control for uncertain nonlinear systems with full error constraints under event-triggered scheme

  • Hang Su,
  • Qiang Zhang,
  • Cheng Tan

摘要

In this paper, an adaptive backstepping approach for uncertain nonlinear systems with quantized inputs and full error constraints via event-triggered scheme and prescribed performance is addressed. First, the quantizer combined with a hysteresis quantizer and a uniform quantizer is applied, and a nonlinear decomposition strategy for this quantizer is provided. Then, by applying the finite-time performance function (FTPF) and relative threshold event-triggered strategy, the restricted error signals tend to the related specified regions in finite times under two different considered cases for known quantization parameter and unknown quantization parameter, respectively. Furthermore, it is worth pointing out that a dynamic surface control combined with nonlinear filter is depicted. Simultaneously, with the the help of a pivotal transformation of the control signal, the effect of measurement error in event-triggered scheme and the nonlinearity produced by quantizer, which always are the focuses, can be eliminated. By constructing appropriate barrier Lyapunov function (BLF), the stability of the closed-loop system can be secured. Finally, simulation results are shown to illustrate the effectiveness of our designed prescribed performance quantized control method.