Title
Simultaneous pole placement of M discrete-time plants using a M-periodic controller.
Abstract
A generic procedure for designing a M-periodic controller (sought in the controller canonical form) for the simultaneous placement of the closed-loop poles of M (=2,3,4,...) discrete, time-invariant plants is presented. The procedure is a two-stage one: first, a set of M simultaneous, linear, polynomial equations, arising out of the M given plants and the corresponding desired closed-loop pole locations, are solved via a generalized Sylvester matrix approach to obtain a set of (M+1) intermediate polynomials; and next, the controller parameters are obtained solving another set of simultaneous, linear polynomial equations that involve the above intermediate polynomials. Thus, both the computational steps are linear algebraic in nature. A list of the isolated plant configurations for which solutions do not exist is given. An example illustrates the procedure.
Year
DOI
Venue
2003
10.1109/TAC.2003.819301
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
State feedback,Polynomials,Differential equations,Adaptive control,Output feedback,Process design,Algorithm design and analysis,Delay
Mathematical optimization,Control theory,Polynomial,Full state feedback,Control theory,Canonical form,Discrete time and continuous time,Sylvester matrix,Periodic graph (geometry),Difference polynomials,Mathematics
Journal
Volume
Issue
ISSN
48
11
0018-9286
Citations 
PageRank 
References 
4
0.64
1
Authors
2
Name
Order
Citations
PageRank
Sarit K. Das1457.81
P. K. Kar240.64