ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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8
Issue
vol 61 / AUGUST, 2018
Article

DOI 10.17586/0021-3454-2015-58-5-351-361

UDC 681.513.6

SIMPLE ALGORITHMS OF ADAPTIVE AND ROBUST CONTROL OVER A CLASS OF LINEAR TIME-VARYING OBJECTS

D. N. Gerasimov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


V. O. Nikiforov
ITMO University, Saint-Petersburg, 197101, Russian Federation; Vice-Rector for Research


M. V. Lyzlova
ITMO University; postgraduate


Abstract. Two simple solutions to the problem of adaptive state-feedback control are proposed for a class of time-variant linear objects. State matrix is presented in the low triangular form. The control design is based on standard pole placement approach with variable average radius of roots distribution. The radius is generated by robust adaptation algorithm in the first solution and by nonlinear static feedback in the second one. The control provides the boundedness of all signals in the closed-loop system and exponential convergence of the object output signal to output signal of reference model.
Keywords: adaptive and robust control, linear time-variant system