On optimal control of norm-invariant systems
作者:
E. P. RYAN,
期刊:
International Journal of Control
(Taylor Available online 1982)
卷期:
Volume 35,
issue 1
页码: 149-157
ISSN:0020-7179
年代: 1982
DOI:10.1080/00207178208922608
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Optimal control of norm-invariant systems is discussed in relation to two constraints : (i) control constrained to a hypersphere ; and (ii) control constrained to a hyper-rectangle. In the case of the first (smooth) constraint set, it is well known that, for certain optimal control problems, the solutions have a particularly simple structure ; a generalization of the time-optimal regulator is given. In the case of the second (non-smooth) constraint set, it is shown that, for a particular optimal control problem, the solution is again of simple form and may be synthesized via switching hyperplanes, as illustrated in two examples of (a) controlled Euler equations and (b) a controlled harmonic oscillator.
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