DocumentCode :
3057956
Title :
Optimal discrete/continuous control with LQR performance criterion and a general class of 3rd-order linear dynamic control variations with one zero eigenvalue
Author :
Abdel-Haleem, Mohamed ; Johnson, C.D.
Author_Institution :
Egyptian Armed Force, Cairo, Egypt
fYear :
2001
fDate :
36951
Firstpage :
233
Lastpage :
239
Abstract :
Discrete/continuous (D/C) control is a natural generalization of conventional discrete-time control in which the control is strategically varied with time, in a specified continuous manner, between each consecutive pair of sample-times. In series of previous papers by the authors (1996, 1999, 2000) the LQR optimization of discrete/continuous control variations that are restricted to be -linear-in-time” (LiT), “exponential-in-time”(EiT), and “sinusoidal-in-time” (SiT), respectively, were considered in detail. In this paper the results in those three previous papers are generalized to include the case of optimal intersample control variations that satisfy a general third-order linear time-invariant ordinary differential equation with at least one zero eigenvalue. The values of the other two eigenvalues determines qualitatively the control time-variations across the sampling intervals. An example is worked in detail to illustrate the results
Keywords :
continuous time systems; differential equations; discrete time systems; eigenvalues and eigenfunctions; linear quadratic control; linear systems; 3rd-order linear dynamic control variations; LQR optimization; LQR performance criterion; continuous control; discrete control; optimal intersample control variations; third-order linear time-invariant ordinary differential equation; Control system synthesis; Control systems; Differential equations; Eigenvalues and eigenfunctions; Force control; MIMO; Optimal control; Sampling methods; Time factors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
System Theory, 2001. Proceedings of the 33rd Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-7803-6661-1
Type :
conf
DOI :
10.1109/SSST.2001.918523
Filename :
918523
Link To Document :
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