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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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