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Piecewise Linear Quadratic Optimal Control

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Author

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

Publishing year

2000

Language

English

Pages

629-637

Publication/Series

IEEE Transactions on Automatic Control

Volume

45

Issue

4

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • optimal control
  • semidefinite programming
  • Nonlinear systems

Status

Published

ISBN/ISSN/Other

  • ISSN: 0018-9286