Digital stochastic realization of complex analog controllers

• Published in: IEEE transactions on industrial electronics (1982) Vol. 49; no. 5; pp. 1101 - 1109
• Main Authors: Marin, S.L.T., Reboul, J.M.Q., Franquelo, L.G.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2002; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algebra; Analog integrated circuits; Arithmetic; Boolean algebra; Controllers; Devices; Digital; Field programmable analog arrays; Logic; Probability; Random number generation; Stochastic processes; Stochastic resonance; Stochasticity; Streams; Very large scale integration
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2002.803233

Stochastic logic is based on digital processing of a random pulse stream, where the information is codified as the probability of a high level in a finite sequence. This binary pulse sequence can be digitally processed exploiting the similarity between Boolean algebra and statistical algebra. Given a random pulse sequence, any Boolean operation among individual pulses will correspond to an algebraic expression among the variables represented by their respective average pulse rates. Subsequently, this pulse stream can be digitally processed to perform analog operations. In this paper, we propose a stochastic approach to the digital implementation of complex controllers using programmable devices as an alternative to traditional digital signal processors. As an example, a practical realization of nonlinear dissipative controllers for a series resonant converter is presented.