On the determination of the optimal constant output feedback gains for linear multivariable systems
- 1 February 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 15 (1) , 44-48
- https://doi.org/10.1109/tac.1970.1099363
Abstract
The optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed. The problem is posed with the additional constraint that the control vector u(t) is a linear time-invariant function of the output vector y(t) (u(t) = -Fy(t)) rather than of the state vector x(t) . The performance criterion is then averaged, and algebraic necessary conditions for a minimizing F\ast are found. In addition, an algorithm for computing F\ast is presented.Keywords
This publication has 4 references indexed in Scilit:
- On the design of linear systems with piecewise-constant feedback gainsIEEE Transactions on Automatic Control, 1968
- Observers for multivariable systemsIEEE Transactions on Automatic Control, 1966
- A new derivation of the quadratic loss control equationIEEE Transactions on Automatic Control, 1965
- New Results in Linear Filtering and Prediction TheoryJournal of Basic Engineering, 1961