This paper deals with the LQG control problem of flexible structures. Since the solution to this problem is given by infinite dimension equations, an approximation scheme is necessary to find an implementable control law. Here a Galerkin approach is used. The novelty of the paper is the successful use of the eigenfunctions of the system instead of usual splines to build up finite dimensional approximating subspaces. By using the Trotter-Kato theorem, it is proved that the state of the system evolving when the approximating input is applied converges in L2 norm to the state evolving when the optimal one is applied.

Manes, C., Palumbo, P., Pepe, P. (2015). An approximation scheme for the LQG control of flexible structures. In European Control Conference, ECC 1999 - Conference Proceedings (pp.1393-1398). Piscataway (New Jersey) : Institute of Electrical and Electronics Engineers Inc. [10.23919/ecc.1999.7099506].

An approximation scheme for the LQG control of flexible structures

Abstract

This paper deals with the LQG control problem of flexible structures. Since the solution to this problem is given by infinite dimension equations, an approximation scheme is necessary to find an implementable control law. Here a Galerkin approach is used. The novelty of the paper is the successful use of the eigenfunctions of the system instead of usual splines to build up finite dimensional approximating subspaces. By using the Trotter-Kato theorem, it is proved that the state of the system evolving when the approximating input is applied converges in L2 norm to the state evolving when the optimal one is applied.
Scheda breve Scheda completa Scheda completa (DC)
paper
Flexible Systems; Galerkin Approximation; Infinite Dimensional Systems; LQG Regulator
English
1999 European Control Conference, ECC 1999
1999
European Control Conference, ECC 1999 - Conference Proceedings
9783952417355
2015
1393
1398
7099506
none
Manes, C., Palumbo, P., Pepe, P. (2015). An approximation scheme for the LQG control of flexible structures. In European Control Conference, ECC 1999 - Conference Proceedings (pp.1393-1398). Piscataway (New Jersey) : Institute of Electrical and Electronics Engineers Inc. [10.23919/ecc.1999.7099506].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10281/440259`
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