量化非线性控制——综述

姜钟平; 刘腾飞

doi:10.3724/SP.J.1004.2013.01820

量化非线性控制——综述

doi: 10.3724/SP.J.1004.2013.01820

1.
Polytechnic Institute of New York University, Brooklyn, NY 11201, USA

基金项目:

Supported by National Science Foundation of USA (DMS-0906659, ECCS-1230040)

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出版历程
- 收稿日期: 2013-07-01
- 修回日期: 2013-08-29
- 刊出日期: 2013-11-20

Quantized Nonlinear Control——A Survey

1.
Department of Electrical and Computer Engineering, Polytech-nic Institute of New York University, New York 11201, USA

Funds:

Supported by National Science Foundation of USA (DMS-0906659, ECCS-1230040)

More Information

Corresponding author: JIANG Zhong-Ping

摘要

摘要: 量化控制系统设计通过将控制与通讯相结合来解决大量运用信息技术的现代工程系统的相关控制问题. 本文首先回顾近年来线性及非线性系统量化控制的结果. 其中, 非线性系统量化控制的发展尚处于初级阶段. 高维、量化、非线性及不确定性的共存导致量化非线性控制问题极具挑战性, 需要全新的思想和技术来解决. 本文重点回顾基于输入状态稳定性(ISS)及其回路小增益定理(Cyclic-small-gain theorem)的量化非线性控制设计方法, 同时列出该领域一些尚未解决的问题.
- 量化控制 /
- 非线性系统 /
- 输入状态稳定性 /
- 小增益定理
Abstract: Quantized control systems design is motivated by the convergence of controls and communications to address modern engineering applications involving the use of information technology. This paper presents an overview of recent developments on the control of linear and nonlinear systems when the control input is subject to quantization or the quantized states or outputs are used as feedback measurements. The co-existence of high-dimensionality, quantization, nonlinearity and uncertainty poses great challenges to quantized control of nonlinear systems and thus calls for new ideas and techniques. Thefeld of quantized nonlinear control is still at its infancy. Preliminary results in our recent work based on input-to-state stability and cyclic-small-gain theorems are reviewed. The open problems in quantized nonlinear control are also outlined.
- Quantized control /
- nonlinear systems /
- input-to-state stability /
- small-gain theorem

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参考文献(92)

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