Optimal control and minimax synthesis of constrained parabolic systems under uncertain perturbations

Boris S. Mordukhovich, Ilya Shvartsman

Research output: Contribution to journalConference article

Abstract

An efficient design procedure to solve minimax control problems for hard-constrained parabolic systems, which takes into account monotonicity properties of the parabolic dynamics, was developed. Both first-order and second-order approximations were involved to justify an appropriate structure and compute optimal parameters of suboptimal controls to the original state-constrained parabolic problem. An energy-type cost functional in the case of maximal perturbations was minimized and the desired state performance within the required constraints for all admissible disturbances was ensured. Some results of numerical simulation which compare suboptimal solutions obtained via first-order and second-order approximation procedures are discussed.

Original languageEnglish (US)
Pages (from-to)1824-1829
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
StatePublished - Dec 1 2004
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: Dec 14 2004Dec 17 2004

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Second-order Approximation
Constrained Systems
Parabolic Systems
Minimax
Optimal Control
Synthesis
First-order
Perturbation
Suboptimal Control
Minimax Problems
Optimal Parameter
Parabolic Problems
Justify
Monotonicity
Control Problem
Disturbance
Numerical Simulation
Computer simulation
Costs
Energy

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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Optimal control and minimax synthesis of constrained parabolic systems under uncertain perturbations. / Mordukhovich, Boris S.; Shvartsman, Ilya.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 2, 01.12.2004, p. 1824-1829.

Research output: Contribution to journalConference article

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