Quantized Prescribed Performance Control for Second-Order Nonlinear Systems

Junguo Song, Jin‐Xi Zhang
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Abstract

This paper designs an output tracking controller for a class of uncertain second-order nonlinear systems with input quantization to solve the prescribed performance control problem. The performance function restrains the convergence rate and precision of the output tracking error. The barrier function is used to confine this error. A simple input quantizer is specially designed for the controller. The resulting control strategy ensures that the prescribed output tracking performance is achieved and all the closed-loop signals are bounded. The control strategy is verified through the simulation result.
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二阶非线性系统的量化规定性能控制
针对一类具有输入量化的不确定二阶非线性系统,设计了一种输出跟踪控制器来解决规定的性能控制问题。性能函数抑制了输出跟踪误差的收敛速度和精度。屏障函数用来限制这种误差。专门为控制器设计了一个简单的输入量化器。所得到的控制策略保证了给定的输出跟踪性能和所有闭环信号是有界的。仿真结果验证了该控制策略的有效性。
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