首页|LQG/LTR control of input-delayed discrete-time systems
LQG/LTR control of input-delayed discrete-time systems
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NSTL
Polska Akad Nauk
A simple robust cheap LQG control is considered for discrete-time systems with constant input delay.It is well known that the full loop transfer recovery(LTR) effect measured by error function Δ(z) can only be obtained for minimum-phase(MPH) systems without time-delay.Explicit analytical expressions for Δ(z) versus delay d are derived for both MPH and NMPH(nonminimum-phase) systems.Obviously,introducing delay deteriorates the LTR effect.In this context the ARMAX system as a simple example of noise-correlated system is examined.The robustness of LQG/LTR control is analyzed and compared with state prediction control whose robust stability is formulated via LMI.Also,the robustness with respect to uncertain time-delay is considered including the control systems which are unstable in open-loop.An analysis of LQG/LTR problem for noise-correlated systems,particularly for ARMAX system,is included and the case of proper systems is analyzed.Computer simulations of second-order systems with constant time-delay are given to illustrate the performance and recovery error for considered systems and controllers.
NSTL
Polska Akad Nauk
