## Abstract

This paper considers the optimal control of linear time-invariant dynamical systems with quadratic performance indices. The proposed approach approximates each state variable of a state-space model by the sum of a third 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, making the approach computationally efficient.

Original language | English |
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Pages (from-to) | WA/DSC7 8p |

Journal | American Society of Mechanical Engineers (Paper) |

State | Published - 1 Dec 1988 |

Externally published | Yes |

Event | Preprint - American Society of Mechanical Engineers - Chicago, IL, USA Duration: 27 Nov 1988 → 2 Dec 1988 |