| 引用本文: | 盛云龙, 苏宏业, 褚 健.多面体不确定线性系统具有约束满足保证的预测控制(英文)[J].控制理论与应用,2003,20(2):193~198.[点击复制] |
| SHENG Yun-long, SU Hong-ye, CHU Jian.Predictive control for polytopic uncertain linear systems with guaranteed constraints satisfaction[J].Control Theory and Technology,2003,20(2):193~198.[点击复制] |
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| 多面体不确定线性系统具有约束满足保证的预测控制(英文) |
| Predictive control for polytopic uncertain linear systems with guaranteed constraints satisfaction |
| 摘要点击 1676 全文点击 1193 投稿时间：2002-04-22 修订日期：2002-11-04 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.2.006 |
| 2003,20(2):193-198 |
| 中文关键词 预测控制 不变集 约束系统 多面体不确定性 |
| 英文关键词 predictive control invariant set constrained systems polytopic uncertainty |
| 基金项目 |
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| 中文摘要 |
| 基于不变集理论, 拓展了Chiscil等人提出的约束不变预测控制方法(ICPC), 提出了一种适用于带约束多面体不确定线性系统的预测控制的框架. 其关键在于为针对标称系统设计的在线优化问题附加适当的额外的鲁棒可行约束. 若优化问题在初始阶段可行, 则此约束可保证在线优化问题始终可行, 从而保证了实际系统中约束条件的始终满足. 同时提出了闭环系统鲁棒稳定的一个充分条件, 可为成本函数的选择提供指导以保证预测控制器的鲁棒镇定. |
| 英文摘要 |
| Based on the invariant set theory, invariance constraint predictive control (IC PC) first proposed by Chiscil et al, is extended and generalized to a framework of model predictive control for constrained linear systems with polytopic uncertainty. The crucial point is to reformulate online optimization problem corresponding to nominal model with an appropriate additional robust and feasible constraint. It is shown that in this configuration feasibility of online optimization problem as well as satisfaction of constraints for the real plant can be guaranteed in all time steps if the optimization problem is feasible at the initial stage. Moreover, a sufficient condition of robust stability is given for closed loop uncertain system, which provides a guide to the choice of cost function to guarantee robust stability. |