Abstract
The main objective of this paper is to study adaptive control for systems in which the control acts on some multiplicative parameters of the state vector. The example of a semi-active suspension with dry-friction is considered. The force in the damper is generated by modulating its orifice areas for fluid flow, which gives rise to variations in the damping coefficient. The dynamics of the controlled system is expected to be close to the behaviour of a “reference” (or “target”) linear system, having some prescribed properties, such as those ensuring satisfactory dynamic comfort. The parameters in the feedback law are continuously adapted, so that the reference linear model will constitute the linearized system corresponding to the controlled non-linear one, as defined in the framework of the “true” stochastic linearization method, [5]. It should be noted that the exact form of the nonlinear terms arising in the mathematical description are not required for adaptation. In practical applications, only measured response processes will be used.
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Bellizzi, S., Bouc, R. (1995). Adaptive sub-optimal parametric control for non-linear stochastic systems. Application to semi-active isolators. In: Krée, P., Wedig, W. (eds) Probabilistic Methods in Applied Physics. Lecture Notes in Physics, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60214-3_58
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DOI: https://doi.org/10.1007/3-540-60214-3_58
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