Abstract
In this paper, we develop a static, full-state feedback and a dynamic, output feedback control design framework for continuous-time, multivariable, linear, time-invariant systems subject to time-invariant, sector-bounded, input non-linearities. The proposed framework directly accounts for robust stability and robust performance over the class of input non-linearities. Specifically, the problem of feedback control design in the presence of time-invariant, sector-bounded, input non-linearities is embedded within a Lure-Postnikov Lyapunov function framework by constructing a set of linear-matrix-inequality conditions whose solution guarantees closed-loop asymptotic stability with guaranteed domains of attraction in the face of time-invariant, sector-bounded, actuator non-linearities. A detailed numerical algorithm is provided for solving the linear-matrix-inequality conditions arising in actuator saturation control. Three illustrative numerical examples are presented to demonstrate the effectiveness of the proposed approach.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 586-599 |
| Number of pages | 14 |
| Journal | International Journal of Control |
| Volume | 74 |
| Issue number | 6 |
| DOIs | |
| State | Published - Apr 15 2001 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Control of systems with actuator saturation non-linearities : An LMI approach. / Kapila, Vikram; Sparks, Andrew G.; Pan, Haizhou.
In: International Journal of Control, Vol. 74, No. 6, 15.04.2001, p. 586-599.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Control of systems with actuator saturation non-linearities
T2 - An LMI approach
AU - Kapila, Vikram
AU - Sparks, Andrew G.
AU - Pan, Haizhou
PY - 2001/4/15
Y1 - 2001/4/15
N2 - In this paper, we develop a static, full-state feedback and a dynamic, output feedback control design framework for continuous-time, multivariable, linear, time-invariant systems subject to time-invariant, sector-bounded, input non-linearities. The proposed framework directly accounts for robust stability and robust performance over the class of input non-linearities. Specifically, the problem of feedback control design in the presence of time-invariant, sector-bounded, input non-linearities is embedded within a Lure-Postnikov Lyapunov function framework by constructing a set of linear-matrix-inequality conditions whose solution guarantees closed-loop asymptotic stability with guaranteed domains of attraction in the face of time-invariant, sector-bounded, actuator non-linearities. A detailed numerical algorithm is provided for solving the linear-matrix-inequality conditions arising in actuator saturation control. Three illustrative numerical examples are presented to demonstrate the effectiveness of the proposed approach.
AB - In this paper, we develop a static, full-state feedback and a dynamic, output feedback control design framework for continuous-time, multivariable, linear, time-invariant systems subject to time-invariant, sector-bounded, input non-linearities. The proposed framework directly accounts for robust stability and robust performance over the class of input non-linearities. Specifically, the problem of feedback control design in the presence of time-invariant, sector-bounded, input non-linearities is embedded within a Lure-Postnikov Lyapunov function framework by constructing a set of linear-matrix-inequality conditions whose solution guarantees closed-loop asymptotic stability with guaranteed domains of attraction in the face of time-invariant, sector-bounded, actuator non-linearities. A detailed numerical algorithm is provided for solving the linear-matrix-inequality conditions arising in actuator saturation control. Three illustrative numerical examples are presented to demonstrate the effectiveness of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=0035872159&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035872159&partnerID=8YFLogxK
U2 - 10.1080/00207170010023151
DO - 10.1080/00207170010023151
M3 - Article
AN - SCOPUS:0035872159
VL - 74
SP - 586
EP - 599
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 6
ER -