Abstract
Analysis of linear systems with relay feedback is a classical field. The early work on relay feedback was motivated by using relays as amplifiers. These applications became less interesting, because the development of electronic technology made relay amplifiers obsolete. A discussion of relay feedback is found in the classical book [12]. Analysis of systems with relay feedback were given by [27],[10],[11],[22],[23],[24],[25],[7],[16],[18],[19]. Much of the analysis of relay feedback has been done using the describing function, see [5] and [8]. An interesting discussion of the validity of the describing function approximation is found in 20. Exact conditions for limit cycle oscillations under relay feedback were developed in the papers by Hamel and Tsypkin. Tsypkin’s work is particularly interesting because of its close relation with the approximate methods. An extensive treatment is found in [26], which is an English translation of a book that was first published in Russian in 1974.
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ÅStröM, K.J. (1995). Oscillations in Systems with Relay Feedback. In: Åström, K.J., Goodwin, G.C., Kumar, P.R. (eds) Adaptive Control, Filtering, and Signal Processing. The IMA Volumes in Mathematics and its Applications, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8568-2_1
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