Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1290-1300 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 45 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2000 |
Fingerprint
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering
Cite this
Model reference adaptive and nonadaptive control of linear time-varying plants. / Limanond, Suttipan; Tsakalis, Konstantinos.
In: IEEE Transactions on Automatic Control, Vol. 45, No. 7, 07.2000, p. 1290-1300.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Model reference adaptive and nonadaptive control of linear time-varying plants
AU - Limanond, Suttipan
AU - Tsakalis, Konstantinos
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
VL - 45
SP - 1290
EP - 1300
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 7
ER -