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基于多面体描述系统的鲁棒非线性预测控制

黄骅 何德峰 俞立

自动化学报2012,Vol.38Issue(12):1906-1912,7.
自动化学报2012,Vol.38Issue(12):1906-1912,7.DOI:10.3724/SP.J.1004.2012.01906

基于多面体描述系统的鲁棒非线性预测控制

Robust Nonlinear Predictive Control Based on Polytopic Description Systems

黄骅 1何德峰 1俞立1

作者信息

  • 1. 浙江工业大学信息工程学院 杭州 310023
  • 折叠

摘要

Abstract

This paper presents a robust nonlinear model predictive control (NMPC) scheme based on polytopic description systems for discrete-time systems with bounded persistent disturbances. Firstly, after the nonlinear system is linearized through Taylor series, the polytoptic description system is constructed to include initial system. Secondly, polytopic invariance and predictive control law with affine input are constructed on the polytopic description system. Then, robust stability of the controlled system with the mentioned scheme is achieved by the notion of the input-to-state practical stability (ISpS) for discrete-time system. Numerical simulation demonstrates effectiveness of the proposed scheme.

关键词

非线性模型预测控制/多面体/输入状态实际稳定性/仿射输入

Key words

Nonlinear model predictive control (NMPC)/ polytoptic/ input-to-state practical stability (ISpS)/ affine input

引用本文复制引用

黄骅,何德峰,俞立..基于多面体描述系统的鲁棒非线性预测控制[J].自动化学报,2012,38(12):1906-1912,7.

基金项目

国家自然科学基金(60904040),高校博士点基金(20093317120002),浙江省自然科学基金(Y1100911)资助 (60904040)

自动化学报

OA北大核心CSCDCSTPCD

0254-4156

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