Abstract:
In this paper, the almost superposition of hammerstein systems (ASHS) and its application to precision control of hysteresis-hammerstein systems is considered. We first s...Show MoreMetadata
Abstract:
In this paper, the almost superposition of hammerstein systems (ASHS) and its application to precision control of hysteresis-hammerstein systems is considered. We first show that for hammerstein operator satisfying a Lipschitz condition, a weak form of the ASHS—the linear combination of outputs approaches to the response to the linear combination of the corresponding inputs with a different set of combination coefficients—exists when there are enough output elements. Furthermore, the strict form of the ASHS—the coefficients of the output and the input combination match to each other exactly—holds for a certain choice of the inputs. The number of outputs in the ASHS is further quantified for hysteresis-hammerstein system. We then present the realization of the ASHS for hysteresis-hammerstein systems to compensate for hysteresis and dynamics simultaneously in decomposition-learning-based output tracking applications.
Published in: 2016 American Control Conference (ACC)
Date of Conference: 06-08 July 2016
Date Added to IEEE Xplore: 01 August 2016
ISBN Information:
Electronic ISSN: 2378-5861