Discrete pulse orthogonal functions for the analysis, parameter estimation and optimal control of linear digital systems
- 1 February 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 45 (2) , 597-605
- https://doi.org/10.1080/00207178708933753
Abstract
Discrete pulse orthogonal functions (DPOFs) are introduced, and their operational matrix is proposed to solve various control problems. The applications of DPOFs in digital control systems are analogous to those of block pulse functions (BPFs) in continuous systems. Applying the DPOFs, the approximate solutions of digital time-invariant systems can be easily obtained by a convenient algorithm. Three examples are presented to demonstrate the applications of DPOFs.Keywords
This publication has 6 references indexed in Scilit:
- Optimal control using discrete Laguerre polynomialsInternational Journal of Control, 1985
- Laguerre z-transfer function representation of linear discrete-time systemsInternational Journal of Control, 1985
- Solution and identification of discrete state-space equations via Walsh functionsJournal of the Franklin Institute, 1984
- Combined methods for model reduction via discrete Laguerre polynomialsInternational Journal of Control, 1983
- Parametric identification of discrete-time SISO systemsInternational Journal of Control, 1979
- A state-space approach to Walsh series solution of linear systemsInternational Journal of Systems Science, 1975