PERFORMANCE LIMITATIONS FOR A CLASS OF KLEINMAN CONTROL SYSTEMS

This paper provides preliminary results on performance limitations for a class of discrete time Kleinman control systems whose open loop poles lie strictly outside the unit circle. By exploiting the properties of the Kleinman controllers and using of Mgebraic Riccati equation （ARE）, the relationship...

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Bibliographic Details
Published inJournal of systems science and complexity Vol. 27; no. 3; pp. 445 - 452
Main Authors Cai, Xin, Li, Shaoyuan
Format Journal Article
LanguageEnglish
Published Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.06.2014
Subjects
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Riccati方程
Statistics
Systems Theory
克莱因
开环系统
性能
控制系统
控制能量
最小能量
离散时间
minimum energy control
Algebraic Riccati equation
zero terminal receding horizon control
Kleinman control
performance limitations
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ISSN1009-6124
1559-7067
DOI10.1007/s11424-014-1280-4

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Summary:This paper provides preliminary results on performance limitations for a class of discrete time Kleinman control systems whose open loop poles lie strictly outside the unit circle. By exploiting the properties of the Kleinman controllers and using of Mgebraic Riccati equation （ARE）, the relationship between total control energy of Kleinman control systems and the minimum energy needed to stabilize the open-loop systems is revealed. The result reflects how the horizon length of Kleinman controllers affects the performance of the closed-loop systems and quantifies how close the performance of Kleinman control systems is to the minimum energy.
Bibliography:Algebraic Riccati equation, Kleinman control, minimum energy control, performance limitations, zero terminal receding horizon control.
This paper provides preliminary results on performance limitations for a class of discrete time Kleinman control systems whose open loop poles lie strictly outside the unit circle. By exploiting the properties of the Kleinman controllers and using of Mgebraic Riccati equation （ARE）, the relationship between total control energy of Kleinman control systems and the minimum energy needed to stabilize the open-loop systems is revealed. The result reflects how the horizon length of Kleinman controllers affects the performance of the closed-loop systems and quantifies how close the performance of Kleinman control systems is to the minimum energy.
11-4543/O1
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-014-1280-4