ANALYSIS OF LINEAR SYSTEMS WITH VARIABLE PARAMETERS FOR INTERVAL OBSERVER SYNTHESIS

S. Chebotarev, A. S. Kremlev


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Abstract

Synthesis conditions of interval observers for linear systems with unknown time-varying parameters are analyzed. Possible cases for compliance with the properties of the cooperative system are considered. The analysis of conditions is held making it possible to construct an interval observer for a given combination of the system properties. Such observer allows getting estimates of the system state variables which contain with assurance the actual value of the state at a given time.


Keywords: interval observers, cooperativeness, Metzler, parametric uncertainty

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