Global Stability of Oscillations Induced by aRelay
نویسنده
چکیده
Suucient conditions of existence and global asymptotic stability of a limit cycle induced by a relay with hysteresis feedback in a linear time-invariant stable system are derived. The criterion is based on inspection of the open loop step response, combined with estimations of certain measures of its variance. Unlike the well-known describing functions method, the proposed approach yields a rigorous proof of global stability of os-cillatory behavior. The criterion can be applied in the case of innnite-dimensional and uncertain open-loop response.
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