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The scope of this study is to develop a novel sensorless adaptive vibrationsuppression controller for two-mass systems with joint estimation of states andcontroller parameters. Unlike existing solutions, we simultaneously: (i)propose an analytically proved, unified and singularity-issue-free scheme ofparameters adjustment of a control law with additional feedbacks that ensuresconvergence of such parameters to their true values under extremely weakregressor finite excitation (FE) requirement, (ii) derive an adaptive observerof a two-mass electromechanical system physical states with guarantee of theirconvergence to the ground truth values under clear FE condition, (iii)rigorously prove the exponential stability of the obtained closed-loop systemof adaptive vibration suppression for two-mass systems that includes theabove-mentioned adaptive observer and adaptive controller. These approaches aregrounded on the recently proposed method of parameters identification for oneclass of nonlinearly parameterized regression equation and thoroughlyinvestigated dynamic regression extension and mixing procedure (DREM). Theobtained theoretical results are confirmed via numerical experiments.

Sensorless Adaptive Vibration Suppression in Two-Mass Systems via Joint Estimation of Controller Parameters and System States