Driving a linear constant system by a piecewise constant control. (English) Zbl 0636.93035
Summary: Recent studies have shown that complete controllability by means of all admissible controls is equivalent to complete controllability by means of piecewise constant controls with n preassigned switching times. This paper addresses the problem of determining the switching times and provides a simple algorithm for the derivation of a piecewise constant control function which accomplishes the transfer of the system from its current position to a desired reachable target. A discussion on the applications of the results obtained in this study to design problems, especially to computer-controlled systems, is given.
MSC:
| 93C05 | Linear systems in control theory |
| 49J30 | Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) |
| 65K10 | Numerical optimization and variational techniques |
| 93B05 | Controllability |
| 93B40 | Computational methods in systems theory (MSC2010) |
Keywords:
complete controllability; piecewise constant controls; preassigned switching times; time-invariantReferences:
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