Performance limitations for a class of Kleinman control systems
- 88 Downloads
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.
KeywordsAlgebraic Riccati equation Kleinman control minimum energy control performance limitations zero terminal receding horizon control
Unable to display preview. Download preview PDF.
- Bode H W, Network Analysis and Feedback Amplifier Design, Van Nostrand, New York, 1945.Google Scholar
- Qiu L and Chen J, Time domain performance limitations of feedback control, Mathematical Theory of Networks and Systems, 1998, 369–372.Google Scholar
- Braslavsky J H, Seron M M, and Kokotović P V, Near-optimal cheap control of nonlinear systems, Proceedings of 4th IFAC Nonlinear Control Systems Design Symposium, Enschede, The Netherlands, 1998.Google Scholar
- Ding B C, Modern Predictive Control, CRC Press, 2010.Google Scholar