Hybrid feedback stabilization of systems with quantized signals

Hybrid feedback stabilization of systems with quantized signals
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DOI:
10.1016/s0005-1098(03)00151-1
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发表时间:
2003-09
期刊:
Autom.
影响因子:
--
通讯作者:
D. Liberzon
D. Liberzon
中科院分区:
其他
文献类型:
--
作者:
D. Liberzon

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本文研究了量子化条件下连续时间系统的全局渐近镇定。一种源于早期工作的混合控制策略(Brockett和Liberzon,IEEE Trans.自动的。控制45(2000)1279)依赖于对量化器参数进行离散在线调整的可能性。我们在这里为一般的非线性系统探索这种方法,一般类型的量化器影响系统的状态、测量输出或控制输入。分析包括合并李亚普诺夫稳定性、混杂系统和输入-状态稳定性的工具。
This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.