State-space solution to the periodic multirate H∞control problem: a lifting approach

Sagfors M.F.; Toivonen H.T.; Lennartson B.

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State-space solution to the periodic multirate H∞control problem: a lifting approach

机译：周期多速率H∞控制问题的状态空间解：一种提升方法

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A two-Riccati equation solution to the H∞ control problem for periodic multirate systems is derived via the lifting method. The solution is expressed in terms of two algebraic Riccati equations. The causality constraints are represented by a set of positive definiteness conditions and coupling criteria. As a by-product, the study shows that there is a close connection between the solution of the causally constrained lifted problem and the solution obtained by solving the problem directly as a periodic H∞ problem defined for the multirate system

机译：通过提升方法，推导了周期多速率系统H∞控制问题的两黎卡提方程解。该解用两个代数Riccati方程表示。因果约束由一组正定条件和耦合准则表示。作为副产品，研究表明，因果约束的提升问题的解与通过直接解决问题而获得的解（为多速率系统定义的周期H∞问题）之间存在密切联系

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来源
《IEEE Transactions on Automatic Control》 |2000年第12期|p.2345-2350|共6页
作者
Sagfors M.F.; Toivonen H.T.; Lennartson B.;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; Riccati equations; multivariable control systems; periodic control; state-space methods; coupling criteria; lifting approach; periodic multirate H∞ control problem; positive definiteness conditions; state-space solution; two-Ric;

机译：H∞控制;Riccati方程;多变量控制系统;周期控制;状态空间方法;耦合准则;提升方法;周期多速率H∞控制问题;正定条件;状态空间解;二次Ric;

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专利

1. State-space solution to the periodic multirate H/sub /spl infin// control problem: a lifting approach [J] . Sagfors M.F., Toivonen H.T. IEEE Transactions on Automatic Control . 2000,第12期

机译：周期性多速率H / sub / spl infin //控制问题的状态空间解决方案：一种提升方法
2. H{sub}∞ control of multirate sampled-data systems: A state-space approach [J] . M. F. Sagfors, H. T. Toivonen, B. Lennartson Automatica . 1998,第4期

机译：多速率采样数据系统的H {sub}∞控制：一种状态空间方法
3. A periodic fixed-structure approach to multirate control [J] . Haddad W.M., Kapila V. IEEE Transactions on Automatic Control . 1995,第2期

机译：周期性固定结构的多速率控制方法
4. State-space solution to the periodic multirate H/sub /spl infin// control problem: a lifting approach [C] . Sagfors, M.F., Toivonen, . 1997

机译：周期性多速率H / sub / spl infin //控制问题的状态空间解决方案：一种提升方法
5. Periodic solutions of flexible systems under discontinuous control. [D] . Borre, Michael K. 2011

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State-space solution to the periodic multirate H∞control problem: a lifting approach

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