Linear systems with state and control constraints: the theory andapplication of maximal output admissible sets |
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Authors: | Gilbert EG Tan KT |
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Affiliation: | Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI; |
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Abstract: | The initial state of an unforced linear system is output admissible with respect to a constraint set Y if the resulting output function satisfies the pointwise-in-time condition y(t)∈Y, t⩾0. The set of all possible such initial conditions is the maximal output admissible set O∞. The properties of O∞ and its characterization are investigated. In the discrete-time case, it is generally possible to represent O∞ or a close approximation of it, by a finite number of functional inequalities. Practical algorithms for generating the functions are described. In the continuous-time case simple representations of the maximal output admissible set are not available, however, it is shown that the discrete-time results may be used to obtain approximate representations |
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