The paper presents a nonlinear adaptive controller (NAC) for single-input single-output feedback linearisable nonlinear systems. A sliding-mode state and perturbation observer is designed to estimate the system states and perturbation which includes the combined effect of system nonlinearities, uncertainties and external disturbances. The NAC design does not require the details of the nonlinear system model and full system states. It possesses an adaptation capability to deal with system parameter uncertainties, unmodelled system dynamics and external disturbances. The convergence of the observer and the stability analysis of the controller/observer system are given. The proposed control scheme is applied for control of a synchronous generator, in comparison with a state-feedback linearising controller (FLC). Simulation study is carried out based on a single-generator infinite-bus power system to show the performance of the controller/observer system.
References
-
-
1)
-
L. Jiang ,
Q.H. Wu ,
J. Wang ,
C. Zhang ,
X.X. Zhou
.
Robust observer-based nonlinear control of multi-machine power systems.
IEE Proc., Gener. Transm. Distrib.
,
6 ,
623 -
631
-
2)
-
Thein, , May-Win, L., Misawa, E.A.: `Comparison of the sliding observer to several state estimators using a rotational inverted pendulum', Proceedings of the 34th Conference on Decision & Control, Dec. 1995, New Orieans, LA, USA, p. 3385–3391.
-
3)
-
R. Marino ,
P. Tomei
.
Global adaptive output-feedback control of nonlinear systems—Part II: Nonlinear parametrization.
IEEE Trans. Autom. Control
,
1 ,
33 -
49
-
4)
-
J.Q. Han
.
Disturbance auto-rejection controller and its application.
Control Decis.
,
12 ,
12 -
17
-
5)
-
V. Rajkumar ,
R.R. Mohler
.
Nonlinear control methods for power systems: a comparison.
IEEE Trans. Control Syst. Technol.
,
2 ,
231 -
237
-
6)
-
H.K. Khalil
.
(1988)
Nonlinear systems.
-
7)
-
Q.H. Wu ,
L. Jiang
.
Nonlinear adaptive coordinated control of multi-machine power systems.
Trans. Inst. Meas. Control
,
3 ,
145 -
213
-
8)
-
R. Marino ,
P. Tomei
.
Robust adaptive state-feedback tracking for nonlinear systems.
IEEE Trans. Automatic Control
,
84 -
86
-
9)
-
C. Edwards ,
S.K. Spurgeon
.
(1998)
Sliding mode control: theory and application.
-
10)
-
B.L. Walcott ,
M.J. Coreless ,
S.H. Żak
.
Comparative study of nonlinear state observation techniques.
Int. J. Control
,
2109 -
2132
-
11)
-
J.J.E. Slotine ,
J.K. Hedrick
.
On sliding mode observer for nonlinear systems.
Trans. ASME J. Dyn. Syst. Meas. Control
,
245 -
252
-
12)
-
L. Jiang ,
Q.H. Wu ,
C. Zhang ,
X.X. Zhou
.
Observer-based nonlinear control of synchronous generator with perturbation estimation.
Int. J. Electr. Power Energy Syst.
,
6 ,
22 -
28
-
13)
-
J.T. Moura ,
H. Elmali ,
N. Olgac
.
Sliding mode control with sliding perturbation observer.
Trans. ASME J. Dyn. Syst. Meas. Control
,
4 ,
657 -
665
-
14)
-
A. Isidori
.
(1989)
Nonlinear control systems.
-
15)
-
H.K. Khalil
.
Adaptive output feedback control of nonlinear systems represented by input–output models.
IEEE Trans. Autom. Control
,
2 ,
177 -
188
-
16)
-
J.J.E. Slotine ,
W. Li
.
(1991)
Applied nonlinear control.
-
17)
-
C. Edwards ,
S.K. Spurgeon
.
On the development of discontinuous observer.
Int. J. Control
,
5 ,
1211 -
1229
-
18)
-
R. Marino ,
P. Tomei
.
Global adaptive output-feedback control of nonlinear systems—Part I: Linear parametrization.
IEEE Trans. Autom. Control
,
1 ,
17 -
32
-
19)
-
R. Sanchis ,
H. Nijmeijer
.
Sliding controller-sliding observer design for nonlinear systems.
Eur. J. Control
,
3 ,
208 -
234
-
20)
-
K. Youcef-Toumi ,
S.T. Wu
.
Input/output linearization using time delay control.
Trans. ASME J. Dyn. Syst. Meas. Control
,
1 ,
10 -
19
-
21)
-
Q.H. Wu ,
L. Jiang
.
Nonlinear control theory and its applications in power systems: a survey.
Autom. Electr. Power Syst.
,
3 ,
1 -
10
-
22)
-
H. Elmali ,
N. Olgac
.
Sliding mode control with perturbation estimation (SMCPE): a new approach.
Int. J. Control
,
4 ,
923 -
941
-
23)
-
M. Krstic ,
I. Kanellakopoulos ,
P.V. Kokotovic
.
(1995)
Nonlinear and adaptive control design.
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