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Optimal control of switched system with time delay detection of switching signal. (English) Zbl 1250.49032

Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 467-478 (2011).
Summary: This paper deals with optimal control problems governed by switched systems with time delay detection of switching signals. We consider the switching sequence as well as the switching instants as decision variables. We present a two-level optimization method to solve it. In the first level, we fix the switching sequence, and introduce a time scaling transformation such that the switching instants are mapped into pre-assigned fixed knot points. Then, the transformed problem becomes a standard optimal parameter selection problem, and hence can be solved by many optimal control techniques and the corresponding optimal control software packages, such as MISER. In the second level, we consider the switching sequence as decision variables. We introduce a discrete filled function method to search for a global optimal switching sequence. Finally, a numerical example is presented to illustrate the efficiency of our method.
For the entire collection see [Zbl 1220.65005].

MSC:

49M30 Other numerical methods in calculus of variations (MSC2010)
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B17 Transformations

Software:

MISER3
PDFBibTeX XMLCite
Full Text: DOI

References:

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