Title
Unified Approach To Controller And Mmse Estimator Design With Intermittent Communications
Abstract
In this work we consider systems where the measurements and control signals are transmitted over networks that are affected by independent and identically distributed (i.i.d.) packet losses. In this setting, we study two separate problems. The first one is the design of an offline state estimator. The second one is the design of a linear quadratic regulator (LQR). Both designs take the statistics of the network and the system into account, and are optimal in the sense of minimizing given cost functions. It turns out that these two designs, of which each has an associated Riccati equation, are dual. We show that the convergence of the Riccati equation associated to this dual system formulation is a necessary and sufficient condition for stability of the estimator and controller. Finally, we compare the performance of the proposed offline estimator with those of other estimators available from the literature.
Year
Venue
Field
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Control theory,Mathematical optimization,Control theory,Computer science,Minimax estimator,Independent and identically distributed random variables,Riccati equation,Algebraic Riccati equation,Invariant estimator,Linear-quadratic regulator,Estimator
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Edwin G. W. Peters1231.83
Damián Marelli216419.58
Minyue Fu31878221.17
Daniel E. Quevedo41393100.60