Often, in engineering literature, we find control systems in which the open loop inputs are piecewise constant and take values in a finite set. Such open loop inputs cause the system to have fairly regular solutions. On the other hand, when acting in closed loop, feedback laws taking values in a finite set may not be reinterpreted as open loop inputs of the considered type. In fact, pathological behaviours such as the accumulation of discontinuities may appear (Zeno phenomenon). We give some conditions which can be used as tools for building finite valued feedback laws not causing such pathological behaviours.

Finite valued feedback laws and piecewise classical solutions / Ceragioli, Francesca Maria. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 65:(2006), pp. 984-998. [10.1016/j.na.2005.10.030]

Finite valued feedback laws and piecewise classical solutions

CERAGIOLI, Francesca Maria
2006

Abstract

Often, in engineering literature, we find control systems in which the open loop inputs are piecewise constant and take values in a finite set. Such open loop inputs cause the system to have fairly regular solutions. On the other hand, when acting in closed loop, feedback laws taking values in a finite set may not be reinterpreted as open loop inputs of the considered type. In fact, pathological behaviours such as the accumulation of discontinuities may appear (Zeno phenomenon). We give some conditions which can be used as tools for building finite valued feedback laws not causing such pathological behaviours.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1398670
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