Decentralized control and periodic feedback
IEEE Transactions on Automatic Control
877 - 882
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The decentralized stabilization problem for linear, discretetime, periodically time-varying plants using periodic controllers is considered. The main tool used is the technique of lifting a periodic system to a time-invariant one via extensions of the input and output spaces. It is shown that a periodically time-varying system of fundamental period N can be stabilized by a decentralized periodic controller if and only if: 1) the system is stabilizable and detectable, and 2) the N-lifting of each complementary subsystem of identically zero input-output map is free of unstable input-output decoupling zeros. In the special case of N = 1, this yields and clarifies all the major existing results on decentralized stabilization of time-invariant plants by periodically time-varying controllers. © 1994 IEEE
Control system analysis
Discrete time control systems
Poles and zeros
Time varying control systems
Distributed parameter control systems
Published Version (Please cite this version)http://dx.doi.org/10.1109/9.286275
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