LQG/LTR control of input-delayed discrete-time systems

• Autorzy: Horla D. , Krolikowski A.

Identyfikatory

DOI

10.24425/bpasts.2019.130895

• Języki publikacji: EN

Abstrakty

EN

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 ∆(z) can only be obtained for minimum-phase (MPH) systems without time-de-lay. Explicit analytical expressions for ∆(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.

Słowa kluczowe

EN

LQG control; loop transfer recovery; time-delay

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 6
• Strony: 1049--1058
• Opis fizyczny: Bibliogr. 36 poz., rys.

Twórcy

autor

Horla D.

• Poznan University of Technology, Institute of Control, Robotics and Information Engineering, Piotrowo 3a, 60-965 Poznan, Poland

autor

Krolikowski A.

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).