Optimal instantaneous output-feedback controllers for discrete-time linear systems with inaccessible state

1 January 1978

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 9 (1) , 9-16
https://doi.org/10.1080/00207727808941674

Abstract

This paper considers the problem of designing optimal instantaneous output—feedback controllers for a class of discrete-time linear time-invariant systems with inaccessible state. The performance index is taken to be the expectation, with respect to the initial state, of the standard quadratic one for the discrete-time regulator. Necessary conditions for optimality are derived and existence of an optimal solution is proven. Implementation of the optimal controller requires the solution of two non-linear matrix algebraic equations, for which a computational algorithm is presented. The design is illustrated by a simple numerical example.

Keywords

This publication has 16 references indexed in Scilit:

Solution of the optimal constant output feedback problem by conjugate gradients
IEEE Transactions on Automatic Control, 1974
Optimal instantaneous output-feedback controllers for linear stochastic systems
International Journal of Control, 1974
Output feedback gains for a linear-discrete stochastic control problem
IEEE Transactions on Automatic Control, 1973
On optimal output feedback
IEEE Transactions on Automatic Control, 1972
Optimal limited state variable feedback controllers for linear systems
IEEE Transactions on Automatic Control, 1971
Linear optimal stochastic control using instantaneous output feedback‡
International Journal of Control, 1971
On the design of optimal constrained dynamic compensators for linear constant systems
IEEE Transactions on Automatic Control, 1970
Suboptimal control of linear time-invariant systems subject to control structure constraints
IEEE Transactions on Automatic Control, 1970
Optimization of linear systems of constrained configuration†
International Journal of Control, 1970
The matrix minimum principle
Information and Control, 1967