HANDLING DISTURBANCES OF THE SCAN PERIOD IN DISCRETE LQG CONTROL SYSTEMS

Authors

  • Jan Cvejn

Keywords:

LQG controller, stochastic control, hybrid systems

Abstract

Computer-based control applications, especially if they run under general-purpose operating systems, often exhibit variance of the scan period of processing inputs and outputs. Although this phenomenon is usually neglected when discrete control algorithms are used, in some cases it can cause significantly worse performance of the control loop. In the paper a modified discrete LQG control algorithm that takes disturbances of the scan period into account is proposed. It is also shown that such a controller can be implemented even on relatively simple hardware platforms.

Downloads

Download data is not yet available.

References

BRYSON A. E.. Ho Y. C. Applied Optimal Control. Hemisphere Corp., New

York, 1975.

BAR-SHALOM Y.. TSE E. Dual Effect, Certainty Equivalence and separation in

Stochastic Control. IEEE Transactions on Automatic Control, 19(5), 494-500,

STENGEL R. F. Stochastic Optimal Control: Theory and Application. Wiley, New

York, 1986.

FLEMING W. H.. RISHEL R. W. Deterministic and Stochastic Optimal Control,

Springer-Verlag, Berlin, 1995.

PAPPAS T.. LAUB A. J.. SANDELL N. R. Jr. On the Numerical Solution of the

Discrete-Time Algebraic Riccati Equation. IEEE Transactions on Automatic

Control, 25(4), 631-641, 1980.

KLEINMAN D. L. Stabilizing a Discrete, Constant Linear System with

Application to Iterative Methods for Solving the Riccati Equation. IEEE

Transactions on Automatic Control, 19(3), 252-254, 1974.

Published

2008-12-30

How to Cite

Cvejn, J. (2008). HANDLING DISTURBANCES OF THE SCAN PERIOD IN DISCRETE LQG CONTROL SYSTEMS. Perner’s Contacts, 3(5), 51–60. Retrieved from https://pernerscontacts.upce.cz/index.php/perner/article/view/1331

Issue

Section

Articles