Piecewise Linear Quadratic Optimal Control
Författare
Summary, in English
The use of piecewise quadratic cost functions is extended from stability analysis of piecewise linear systems to performance analysis and optimal control. Lower bounds on the optimal control cost are obtained by semidefinite programming based on the Bellman inequality. This also gives an approximation to the optimal control law. An upper bound to the optimal cost is obtained by another convex optimization problem using the given control law. A compact matrix notation is introduced to support the calculations and it is proved that the framework of piecewise linear systems can be used to analyze smooth nonlinear dynamics with arbitrary accuracy
Publiceringsår
2000
Språk
Engelska
Sidor
629-637
Publikation/Tidskrift/Serie
IEEE Transactions on Automatic Control
Volym
45
Issue
4
Fulltext
- Available as PDF - 205 kB
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Dokumenttyp
Artikel i tidskrift
Förlag
IEEE - Institute of Electrical and Electronics Engineers Inc.
Ämne
- Control Engineering
Nyckelord
- optimal control
- semidefinite programming
- Nonlinear systems
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0018-9286