Near-optimum design of linear systems by a singular perturbation method
- 1 February 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (1), 15-22
- https://doi.org/10.1109/tac.1969.1099113
Abstract
It is shown that the state feedback matrix of a linear system optimal with respect to a quadratic performance index can be expanded in a MacLaurin series in parameters which change the order of the system. The first two terms of this series are employed in a near-optimum design for a high-order plant. The result of the near-optimum design is superior to that achieved by a conventional low-order design, while the amount of computation is considerably less than that required for a high-order design. An example of a second-order design for a fifth-order plant is given.Keywords
This publication has 3 references indexed in Scilit:
- Feedback control which preserves optimality for systems with unknown parametersIEEE Transactions on Automatic Control, 1968
- Singular perturbation method for reducing the model order in optimal control designIEEE Transactions on Automatic Control, 1968
- ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVESRussian Mathematical Surveys, 1963