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LTR design of discrete-time proportional-integral observers

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4 Author(s)
B. Shafai ; Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA ; S. Beale ; H. H. Niemann ; J. L. Stoustrup

Applies the proportional-integral (PI) observer in connection with loop-transfer recovery (LTR) design for discrete-time systems. Both the prediction and the filtering versions of the PI observer are considered. We show that a PI observer makes it possible to obtain time recovery, i.e., exact recovery for t→∞, under mild conditions. Two systematic LTR design methods, one based on an extension of the linear quadratic Gaussian loop-transfer recovery (LQG/LTR) and the other based on linear matrix inequality (LMI), are derived for the discrete-time PI observer case, Explicit expressions for the recovery error when exact recovery is not achievable for all frequencies are also given

Published in:

IEEE Transactions on Automatic Control  (Volume:41 ,  Issue: 7 )