A sector bound approach to feedback control of nonlinear systems with state quantization
A sector bound approach to feedback control of nonlinear systems with state quantization
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DOI：
10.1016/j.automatica.2011.09.041
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Tengfei Liu;Zhong-Ping Jiang;D. Hill
中科院分区：
文献类型：
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作者：
Tengfei Liu;Zhong-Ping Jiang;D. Hill
研究了带状态量化器的静态扇区有界严格反馈非线性系统的反馈控制问题。通过一种新颖的基于集值映射的递归控制设计方法，将量化控制系统转化为多个输入-状态稳定子系统的互连。最近提出的周期-小增益定理保证了闭环系统的ISS特性。通过适当设计量化控制器，可以将量化控制系统的输出引导到原点附近，其大小略大于原点附近的量化误差。
This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within a neighborhood of the origin with its size slightly larger than the quantization error near the origin.