## Abstract

The authors consider the optimal control of structural systems with quadratic performance indices. The proposed approach approximates each configuration variable of a structural model by the sum of a fifth-order polynomial and a finite-term Fourier-type series. In contrast to standard linear optimal control approaches which typically require the solution of Riccati equations, the method adopted is a near-optimal approach in which the necessary and sufficient condition of optimality is derived as a system of linear algebraic equations. These equations can be solved directly by a method such as Gaussian elimination. The proposed approach is computationally efficient and can be applied to structural systems of high dimension and/or to structural systems with fixed (or highly penalized) terminal states without numerical difficulties.

Original language | English |
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Pages (from-to) | 2082-2087 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 88 pt 1-3 |

State | Published - 1 Dec 1988 |

Externally published | Yes |