http://www.cnr.it/ontology/cnr/individuo/prodotto/ID242166
Feedback optimal control of distributed parameter systems by using finite-dimensional approximation schemes (Articolo in rivista)
- Type
- Label
- Feedback optimal control of distributed parameter systems by using finite-dimensional approximation schemes (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1109/TNNLS.2012.2192748 (literal)
- Alternative label
A. Alessandri; M. Gaggero; R. Zoppoli (2012)
Feedback optimal control of distributed parameter systems by using finite-dimensional approximation schemes
in IEEE Transactions on Neural Networks and Learning Systems; IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 (Stati Uniti d'America)
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- A. Alessandri; M. Gaggero; R. Zoppoli (literal)
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- Journal Q1 in Artificial Intelligence (literal)
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- ISI Web of Science (WOS) (literal)
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- 1. DIME-University of Genoa, Genoa 16129, Italy
2. ISSIA-National Research Council of Italy, Genoa 16149, Italy
3. DIST-University of Genoa, Genoa 16145, Italy (literal)
- Titolo
- Feedback optimal control of distributed parameter systems by using finite-dimensional approximation schemes (literal)
- Abstract
- Optimal control for systems described by partial differential equations is investigated by proposing a methodology to design feedback controllers in approximate form. The approximation stems from constraining the control law to take on a fixed structure, where a finite number of free parameters can be suitably chosen. The original infinite-dimensional optimization problem is then reduced to a mathematical programming one of finite dimension that consists in optimizing the parameters. The solution of such a problem is performed by using sequential quadratic programming. Linear combinations of fixed and parameterized basis functions are used as the structure for the control law, thus giving rise to two different finite-dimensional approximation schemes. The proposed paradigm is general since it allows one to treat problems with distributed and boundary controls within the same approximation framework. It can be applied to systems described by either linear or nonlinear elliptic, parabolic, and hyperbolic equations in arbitrary multidimensional domains. Simulation results obtained in two case studies show the potentials of the proposed approach as compared with dynamic programming. (literal)
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