Quantized feedback stabilization of non-linear affine systems
Quantized feedback stabilization of non-linear affine systems
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DOI：
10.1080/00207170310001655336
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发表时间：
2004-02
影响因子：
2.1
通讯作者：
Jialing Liu;N. Elia
中科院分区：
文献类型：
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作者：
Jialing Liu;N. Elia
近年来，量化控制系统的研究引起了越来越多的研究人员的关注，由于其在数字控制，通信/计算约束下的控制等理论和实际的重要性。本文中，我们发展了一个理论，稳定的单输入非线性仿射系统的量化反馈。我们明确地构造一个稳定量化器的基础上的控制李雅普诺夫函数（CLF），和一个鲁棒稳定量化器的基础上的鲁棒控制李雅普诺夫函数（RCLF）。我们描述了一个给定的RCLF和所有RCLF上的粗量化器。探讨了几类非线性仿射系统的特殊性，得到了更具体的结果。最后，我们将建议的量化方案应用于某些类型的车辆的运动控制。
Recently, the study of quantized control systems has attracted increasing attention from researchers, due to its theoretical and practical importance in digit control, control under communication/computation constraints, etc. In this paper we develop a theory of stabilizing single-input non-linear affine systems using quantized feedback. We construct explicitly a stabilizing quantizer based on a control Lyapunov function (CLF), and a robustly stabilizing quantizer based on a robust control Lyapunov function (RCLF). We characterize the coarsest quantizer for a given RCLF and the coarsest one over all RCLFs. The special features of several classes of non-linear affine systems are explored to obtain more specific results. Finally, we apply the proposed quantization scheme to the motion control of certain types of vehicles.