To improve controlled performance and expand gain-scheduling control capability, we propose a switching control approach of linear fractional transformation parameter-dependent systems using multiple Lyapunov functions combined with online control techniques. At each switching instant, a gain-scheduled controller working for the next switching interval will be designed online. The switching control synthesis condition is formulated as linear matrix inequalities and can be solved efficiently, upon which the controller will be constructed. The online switching control scheme is demonstrated using an uninhabited combat aerospace vehicle problem.

1.
Rugh
,
W. J.
, 1991, “
Analytical Framework for Gain Scheduling
,”
IEEE Control Syst. Mag.
0272-1708,
11
(
1
), pp.
79
84
.
2.
Shamma
,
J. S.
, and
Athans
,
M.
, 1990, “
Analysis of Gain Scheduled Control for Nonlinear Plants
,”
IEEE Trans. Autom. Control
0018-9286,
35
(
8
), pp.
898
907
.
3.
Rugh
,
W. J.
, and
Shamma
,
J. S.
, 2000, “
Research on Gain Scheduling
,”
Automatica
0005-1098,
36
(
10
), pp.
1401
1425
.
4.
Packard
,
A. K.
, 1994, “
Gain Scheduling Via Linear Fractional Transformations
,”
Syst. Control Lett.
0167-6911,
22
(
2
), pp.
79
92
.
5.
Apkarian
,
P.
, and
Gahinet
,
P.
, 1995, “
A Convex Characterization of Gain-Scheduled H∞ Controllers
,”
IEEE Trans. Autom. Control
0018-9286,
40
(
5
), pp.
853
864
.
6.
Liberzon
,
D.
, 2003,
Switching in Systems and Control
,
Birkhauser
,
Boston, MA
.
7.
DeCarlo
,
R. A.
,
Branicky
,
M. S.
,
Pettersson
,
S.
, and
Lennartson
,
B.
, 2000, “
Perspectives and Results on the Stability and Stabilizability of Hybrid Systems
,”
Proc. IEEE
0018-9219,
88
(
7
), pp.
1069
1082
.
8.
Branicky
,
M. S.
, 1998, “
Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems
,”
IEEE Trans. Autom. Control
0018-9286,
43
(
4
), pp.
475
482
.
9.
Ye
,
H.
,
Michel
,
A. N.
, and
Hou
,
L.
, 1998, “
Stability Theory for Hybrid Dynamical Systems
,”
IEEE Trans. Autom. Control
0018-9286,
43
(
4
), pp.
461
474
.
10.
El-Farra
,
N. H.
,
Mhaskar
,
P.
, and
Christofides
,
P. D.
, 2005, “
Output Feedback Control of Switched Nonlinear Systems Using Multiple Lyapunov Functions
,”
Syst. Control Lett.
0167-6911,
54
(
12
), pp.
1163
1182
.
11.
Mhaskar
,
P.
,
El-Farra
,
N. H.
, and
Christofides
,
P. D.
, 2005, “
Robust Hybrid Predictive Control of Nonlinear Systems
,”
Automatica
,
41
(
2
), pp.
209
217
. 0005-1098
12.
Mhaskar
,
P.
,
El-Farra
,
N. H.
, and
Christofides
,
P. D.
, 2005, “
Predictive Control of Switched Nonlinear Systems With Scheduled Mode Transitions
,”
IEEE Trans. Autom. Control
0018-9286,
50
(
11
), pp.
1670
1680
.
13.
Lim
,
S.
, 1999, “
Analysis and Control of Linear Parameter-Varying Systems
,” Ph.D. thesis, Stanford University, Stanford, CA.
14.
Lu
,
B.
, and
Wu
,
F.
, 2004, “
Switched LPV Control Designs Using Multiple Parameter-Dependent Lyapunov Functions
,”
Automatica
,
40
(
11
), pp.
1973
1980
. 0005-1098
15.
Gahinet
,
P.
, and
Apkarian
,
P.
, 1994, “
A Linear Matrix Inequality Approach to H∞ Control
,”
Int. J. Robust Nonlinear Control
1049-8923,
4
(
4
), pp.
421
448
.
16.
Lu
,
B.
,
Wu
,
F.
, and
Kim
,
K.
, 2006, “
Switching LPV Control of an F-16 Aircraft Via Controller State Reset
,”
IEEE Trans. Control Syst. Technol.
1063-6536,
14
(
2
), pp.
267
277
.
17.
Wu
,
F.
, 2001, “
A Generalized LPV System Analysis and Control Synthesis Framework
,”
Int. J. Control
0020-7179,
74
(
7
), pp.
745
759
.
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