Title
Stabilization Of Mimo Systems Over Additive Correlated Noise Channels Subject To Multiple Snr-Constraints
Abstract
This paper studies the mean square stabilization of MIMO discrete-time linear time-invariant systems over a MIMO additive correlated channel. We assume that such channel consists of multiple correlated SISO channels subject to independent input signal-to-noise ratio (SNR) constraints. We derive explicit conditions for which mean square stabilization can be achieved under such constraints for unstable minimum phase plants, and characterize the controller that achieves such SNR. We also present the set of admissible SNR constraints for mean square stability for a particular set of plants. Our results show that noise correlation can reduce the SNR requirements for stability compared to independent additive white noise channels. In addition, a numerical simulation is provided to illustrate the theoretical results.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550207
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Keywords
Field
DocType
Correlated noise channel, mean-square stabilization, signal-to-noise ratio constraints
Control theory,Control theory,Signal-to-noise ratio,Communication channel,MIMO,White noise,Transfer function,Numerical stability,Minimum phase,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Alberto González1339.74
Francisco J. Vargas2184.15
Jie Chen3647124.78