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| BaoxianWANG,ZhihongGUAN,FushunYUAN,XishengZHAN |
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| (College of Automation, Huazhong University of Science and Technology;School of Mathematics and Statistics, Anyang Normal University;College of Mechatronics and Control Engineering, Hubei Normal University) |
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| Received:September 23, 2011Revised:November 26, 2012 |
| 基金项目:This work was partially supported by the National Natural Science Foundation of China (Nos. 61073025, 61073065, 61100076, 61170024, 61272114). |
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| Lower bound of tracking performance with finite control energy and channel energy constraint |
| Baoxian WANG,Zhihong GUAN,Fushun YUAN,Xisheng ZHAN |
| (College of Automation, Huazhong University of Science and Technology;School of Mathematics and Statistics, Anyang Normal University;College of Mechatronics and Control Engineering, Hubei Normal University) |
| Abstract: |
| This paper studies the tracking performance of the single-input single-output (SISO), finite dimensional, linear and time-invariant (LTI) system over an additive white Gaussian noise (AWGN) channel with finite control energy and channel input energy constraint. A new performance index is proposed which is minimized over all stabilizing twodegree-of-freedom controllers. The explicit expressions of the lower bound of the tracking performance and the minimum of signal-to-noise required are obtained. The results show that the lower bound is correlated to the unstable pole, nonminimum phase zero and the channel scaling factor. Finally, one example is given to validate the conclusions by adopting the special inner-outer factorization. |
| Key words: Optimal performance Control energy Channel energy constraint Gaussian noise |
