Journal of Systems Science and Complexity

, Volume 27, Issue 3, pp 445–452 | Cite as

Performance limitations for a class of Kleinman control systems

  • Xin CaiEmail author
  • Shaoyuan Li


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 algebraic 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.


Algebraic Riccati equation Kleinman control minimum energy control performance limitations zero terminal receding horizon control 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information ProcessingMinistry of EducationShanghaiChina

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