Lower bound of tracking performance with finite control energy and channel energy constraint

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 wh...

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Bibliographic Details
Published in:Journal of control theory and applications 2013-08, Vol.11 (3), p.409-414
Main Authors: Wang, Baoxian, Guan, Zhihong, Yuan, Fushun, Zhan, Xisheng
Format: Article
Language:English
Subjects:
Channel
Channels
Complexity
Computational Intelligence
constraint
Control
Control and Systems Theory
Control systems
Controllers
energy
Engineering
Factorization
Gaussian
Lower bounds
Mathematical analysis
Mechatronics
noise
Optimal
Optimization
Robotics
Systems Theory
Tracking
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Summary: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 two-degree-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.
ISSN:1672-6340
1993-0623
DOI:10.1007/s11768-013-1197-9