Adaptive guaranteed cost control of systems with uncertain parameters

1 August 1972

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 17 (4) , 474-483
https://doi.org/10.1109/tac.1972.1100037

Abstract

Guaranteed cost control is a method of synthesizing a closed-loop system in which the controlled plant has large parameter uncertainty. This paper gives the basic theoretical development of guaranteed cost control, and shows how it can be incorporated into an adaptive system. The uncertainty in system parameters is reduced first by either: 1) on-line measurement and evaluation, or 2) prior knowledge on the parametric dependence of a certain easily measured situation parameter. Guaranteed cost control is then used to take up the residual uncertainty. It is shown that the uncertainty in system parameters can be taken care of by an additional term in the Riccati equation. A Fortran program for computing the guaranteed cost matrix and control law is developed and applied to an airframe control problem with large parameter variations.

Keywords

This publication has 10 references indexed in Scilit:

Invariance and Stability for Bounded Uncertain Systems
SIAM Journal on Control, 1972
Feedback control which preserves optimality for systems with unknown parameters
IEEE Transactions on Automatic Control, 1968
On a Matrix Riccati Equation of Stochastic Control
SIAM Journal on Control, 1968
Minimax controller design
IEEE Transactions on Automatic Control, 1968
A minimax control problem for sampled linear systems
IEEE Transactions on Automatic Control, 1968
Synthesis of optimally sensitive systems
Proceedings of the IEEE, 1968
Sensitivity in optimal control systems
Proceedings of the IEEE, 1968
Performance deterioration of optimum systems
IEEE Transactions on Automatic Control, 1966
Fuzzy sets
Information and Control, 1965
On the relative time of adaptive processes
IEEE Transactions on Automatic Control, 1965