Title :
An H∞ approach to networked control
Author :
Seiler, Pete ; Sengupta, Raja
Author_Institution :
Honeywell Inc., Minneapolis, MN, USA
fDate :
3/1/2005 12:00:00 AM
Abstract :
In this paper, we study the effect of a network in the feedback loop of a control system. We use a stochastic packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H∞ norm and compute this norm via a necessary and sufficient matrix inequality condition. We also derive necessary and sufficient linear matrix inequality (LMI) conditions for the synthesis of the H∞ optimal controller for a discrete-time jump system. Finally, we apply these results to study the effect of communication losses on vehicle control.
Keywords :
H∞ control; Markov processes; control system synthesis; discrete time systems; distributed control; feedback; linear matrix inequalities; linear systems; time-varying systems; H∞ optimal controller; Markovian jumping parameters; communication losses; discrete-time jump system; discrete-time linear systems; feedback loop; necessary and sufficient linear matrix inequality conditions; networked control; stochastic packet-loss model; vehicle control; Communication system control; Control system synthesis; Control systems; Linear matrix inequalities; Linear systems; Network synthesis; Stability; Stochastic systems; Unmanned aerial vehicles; Wireless networks; jump systems; networked control; vehicle control; wireless networks;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.844177
