TY - JOUR
T1 - Model reference adaptive and nonadaptive control of linear time-varying plants
AU - Limanond, Suttipan
AU - Tsakalis, Konstantinos
N1 - Funding Information:
Manuscript received June 12, 1998; revised September 20, 1999. Recommended by Associate Editor, Farrell. This work was supported by the NSF RIA under Grant ECS-9111346. The authors are with the Department of Electrical Engineering, SSERC, Arizona State University, Tempe, AZ 85287-7606 USA (e-mail: tsakalis@asu.edu). Publisher Item Identifier S 0018-9286(00)05274-0.
PY - 2000/7
Y1 - 2000/7
N2 - In this paper we address the adaptive and nonadaptive model reference control problem for a class of multivariable linear time-varying plants, namely index-invariant ones. We show that, under appropriate controllability and observability conditions, this class of plants admits a fractional description in terms of polynomial differential operators and, as such, allows for a polynomial equation-based controller design. We also show that, for a model reference control objective, the controller can be designed by solving a set of algebraic equations. Further, when the plant parameters are only partially known, we employ a gradient-based adaptive law with projection and normalization to update the controller parameters and establish the stability and tracking properties of adaptive closed-loop plant. Finally, we present a simple example to illustrate the design and realization of both the adaptive and nonadaptive controls laws.
AB - In this paper we address the adaptive and nonadaptive model reference control problem for a class of multivariable linear time-varying plants, namely index-invariant ones. We show that, under appropriate controllability and observability conditions, this class of plants admits a fractional description in terms of polynomial differential operators and, as such, allows for a polynomial equation-based controller design. We also show that, for a model reference control objective, the controller can be designed by solving a set of algebraic equations. Further, when the plant parameters are only partially known, we employ a gradient-based adaptive law with projection and normalization to update the controller parameters and establish the stability and tracking properties of adaptive closed-loop plant. Finally, we present a simple example to illustrate the design and realization of both the adaptive and nonadaptive controls laws.
UR - http://www.scopus.com/inward/record.url?scp=0034223756&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034223756&partnerID=8YFLogxK
U2 - 10.1109/9.867022
DO - 10.1109/9.867022
M3 - Article
AN - SCOPUS:0034223756
SN - 0018-9286
VL - 45
SP - 1290
EP - 1300
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 7
ER -