Paper Info
Title
Upper bounds on the best achievable performance subject to SNR constraints in two-channel networked architectures
Abstract
This paper studies control problems subject to signal-to-noise ratio (SNR) constraints for two-channel MIMO architectures. We first establish a second order moments equivalence between LTI feedback systems subject to SNR constraints and a class of Markov jump linear systems (MJLSs). This equivalence allows one to recast the original SNR constrained problem into an optimal mode-independent controller design problem for MJLSs. Exploiting this fact, and provided some linear matrix inequalities are feasible, we compute an upper bound on the best achievable performance subject to SNR constraints in two-channel architectures, when static state feedback controllers are employed. A numerical example is included to illustrate the results.
Year
DOI
Venue
2010
10.1109/CDC.2010.5718063
CDC
Keywords
Field
DocType
MIMO systems,control system synthesis,feedback,linear matrix inequalities,linear systems,networked control systems,optimal control,LTI feedback systems,Markov jump linear systems,linear matrix inequalities,multiple-input multiple-output architecture,optimal mode-independent controller design,second order moments equivalence,signal-to-noise ratio constraints,static state feedback controllers,two-channel MIMO architectures,two-channel networked architecture
Mathematical optimization,Markov process,Optimal control,Linear system,Computer science,Upper and lower bounds,Control theory,Signal-to-noise ratio,MIMO,Equivalence (measure theory),Covariance matrix
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
13
3
Name
Order
Citations
PageRank
Sebastian A. Pulgar100.34
Eduardo I. Silva219717.48
Mario E. Salgado3398.35