This paper deals with the adaptive neural network (NN) switching control problem for a class of switched nonlinear systems. Radial basis function (RBF) NNs are utilized to approximate the unknown switching control law term which includes a neural network control term, a supervisory control term, and a compensation control term. Also, based on the average dwell-time, a direct adaptive neural switching controller is designed to heighten the robustness of switching system. We can prove to ensure stability of the resulting closed-loop system such that the output tracking performance can be well obtained and all the signals are kept bounded. Simulation results validate the tracking control performance and investigate the effectiveness of the proposed switching control method.

References

1.
Liberzon
,
D.
,
2003
,
Switching in Systems and Control
,
Birkhauser
,
Boston
.
2.
Sun
,
Z. D.
, and
Ge
,
S. S.
,
2005
, “
Analysis and Synthesis of Switched Linear Control Systems
,”
Automatica
,
41
(
2
), pp.
181
195
.
3.
Sun
,
Z. D.
,
Ge
,
S. S.
, and
Lee
,
T. H.
,
2002
, “
Controllability and Reachability Criteria for Switched Linear Systems
,”
Automatica
,
38
(
5
), pp.
775
786
.
4.
Yu
,
L.
,
Fei
,
S.
,
Long
,
F.
,
Zhangd
,
M.
, and
Yu
,
J.
,
2010
, “
Multilayer Neural Networks-Based Direct Adaptive Control for Switched Nonlinear Systems
,”
Neurocomputing
,
74
(
1–3
), pp.
481
486
.
5.
Colaneri
,
P.
,
Geromel
,
J. C.
, and
Astolfi
,
A.
,
2008
, “
Stabilization of Continuous-Time Switched Nonlinear Systems
,”
Syst. Control Lett.
,
57
(
1
), pp.
95
103
.
6.
Wu
,
Y. Q.
,
Zhang
,
Z. C.
, and
Xiao
,
N.
,
2014
, “
Global Tracking Controller for Underactuated Ship Via Switching Design
,”
ASME J. Dyn. Syst. Meas. Control
,
136
(
5
), p.
054506
.
7.
Jasim
,
N. F.
,
2013
, “
Observability and Distinguish Ability Properties and Stability of Arbitrarily Fast Switched Systems
,”
ASME J. Dyn. Syst. Meas. Control
,
136
(
5
), p.
051011
.
8.
Wang
,
D.
,
Shi
,
P.
,
Wang
,
J. L.
, and
Wang
,
W.
,
2012
, “
Delay-Dependent Exponential H-Infinity Filtering for Discrete-Time Switched Delay Systems
,”
Int. J. Robust Nonlinear Control
,
22
(
13
), pp.
1522
1536
.
9.
Lian
,
J.
,
Shi
,
P.
, and
Feng
,
Z.
,
2013
, “
Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems
,”
IEEE Trans. Cybernetics
,
43
(
1
), pp.
3
13
.
10.
Dong
,
X. X.
, and
Zhao
,
J.
,
2013
, “
Robust Output Tracking Control for a Class of Uncertain Switched Nonlinear Systems
,”
ASME J. Dyn. Syst. Meas. Control
,
136
(
5
), p.
031001
.
11.
Sun
,
H. B.
,
Zong
,
G. D.
, and
Hou
,
L. L.
,
2011
, “
H-Infinity Guaranteed Cost Filtering for Uncertain Discrete-Time Switched Systems With Multiple Time-Varying Delays
,”
ASME J. Dyn. Syst. Meas. Control
,
133
(
1
), p.
014503
.
12.
Karimi
,
B.
, and
Menhaj
,
M.
,
2010
, “
Non-Affine Nonlinear Adaptive Control of Decentralized Large-Scale Systems Using Neural Networks
,”
Inf. Sci.
,
180
(
17
), pp.
3335
3347
.
13.
Hespanha
,
J.
, and
Morse
,
A. S.
,
1999
, “
Stability of Switched Systems With Average Dwell-Time
,” 38th
IEEE
Conference on Decision and Control
, Phoenix, AZ, Dec. 7–10, pp. 2655–2650.
14.
Persis
,
C. D.
,
Santis
,
R. D.
, and
Morse
,
A. S.
,
2003
, “
Switched Nonlinear Systems With State-Dependent Dwell-Time
,”
Syst. Control Lett.
,
50
(
4
), pp.
291
302
.
15.
Kanellakopoulos
,
I.
,
Kokotovic
,
P. V.
, and
Morse
,
A. S.
,
1991
, “
Systematic Design of Adaptive Controllers for Feedback Linearizable Systems
,”
IEEE Trans. Autom. Control
,
36
(
11
), pp.
1241
1253
.
16.
Slotine
,
J. J.
, and
Li
,
W. P.
,
1991
,
Applied Nonlinear Control
,
Prentice Hall
,
Englewood Cliffs, NJ
.
17.
Hsu
,
C.
,
2011
, “
Adaptive Dynamic RBF Neural Controller Design for a Class of Nonlinear Systems
,”
Appl. Soft Comput.
,
11
(
8
), pp.
4607
4613
.
18.
Long
,
F.
, and
Fei
,
S. M.
,
2008
, “
Neural Networks Stabilization and Disturbance Attenuation for Nonlinear Switched Impulsive Systems
,”
Neurocomputing
,
71
(
7–9
), pp.
1741
1747
.
19.
Xu
,
B.
,
Yang
,
G.
, and
Pan
,
Y. P.
,
2015
, “
Global Neural Dynamic Surface Tracking Control of Strict-Feedback Systems With Application to Hypersonic Flight Vehicle
,”
IEEE Trans. Neural Networks Learn. Syst.
,
26
(
10
), pp.
2563
2575
.
20.
Xu
,
B.
,
Fan
,
Y. H.
, and
Zhang
,
S. M.
,
2015
, “
Minimal-Learning-Parameter Technique Based Adaptive Neural Control of Hypersonic Flight Dynamics Without Back-Stepping
,”
Neurocomputing
,
164
, pp.
201
209
.
21.
Mohamad
,
S. A.
, and
Liu
,
X. Z.
,
2008
, “
On Stability of Linear and Weakly Nonlinear Switched Systems With Time Delay
,”
Math. Comput. Modell.
,
48
(7–8), pp.
1150
1157
.
22.
Han
,
T. T.
,
Ge
,
S. S.
, and
Lee
,
T. T.
,
2009
, “
Adaptive Neural Control for a Class of Switched Nonlinear Systems
,”
Syst. Control Lett.
,
58
(
2
), pp.
109
118
.
23.
Ge
,
S. S.
,
Li
,
G. Y.
, and
Lee
,
T. H.
,
2003
, “
Adaptive NN Control for a Class of Strick-Feedback Discrete-Time Nonlinear Systems
,”
Automatica
,
39
(
5
), pp.
807
819
.
24.
Ge
,
S. S.
,
Yang
,
C. G.
, and
Dai
,
S. L.
,
2009
, “
Robust Adaptive Control of a Class of Nonlinear Strict-Feedback Discrete-Time Systems With Exact Output Tracking
,”
Automatica
,
45
(
11
), pp.
2537
2545
.
25.
Liu
,
Y. J.
,
Tong
,
S. C.
, and
Wang
,
W.
,
2009
, “
Adaptive Fuzzy Output Tracking Control for a Class of Uncertain Nonlinear Systems
,”
Fuzzy Sets Syst.
,
160
(
19
), pp.
2727
2754
.
26.
Zhang
,
T. P.
, and
Ge
,
S. S.
,
2007
, “
Adaptive Neural Control of MIMO Nonlinear State Time-Varying Delay Systems With Unknown Dead-Zones and Gain Signs
,”
Automatica
,
43
(
6
), pp.
1021
1033
.
27.
Ge
,
S. S.
,
Lee
,
T. H.
, and
Harris
,
C. J.
,
1998
,
Adaptive Neural Network Control of Robotic Manipulators
,
World Scientific
,
London
.
28.
Xu
,
B.
,
Yang
,
C. G.
, and
Shi
,
Z. K.
,
2014
, “
Reinforcement Learning Output Feedback NN Control Using Deterministic Learning Technique
,”
IEEE Trans. Neural Networks Learn. Syst.
,
25
(
3
), pp.
635
641
.
29.
Xu
,
B.
,
Shi
,
Z. K.
,
Yang
,
C. G.
, and
Sun
,
F. C.
,
2014
, “
Composite Neural Dynamic Surface Control of a Class of Uncertain Nonlinear Systems in Strict Feedback Form
,”
IEEE Trans. Cybernetics
,
44
(
12
), pp.
2626
2634
.
30.
Yu
,
L.
,
Fei
,
S. M.
, and
Yang
,
G.
,
2015
, “
A Neural Network Approach for Tracking Control of Uncertain Switched Nonlinear Systems With Unknown Dead-Zone
,”
Circuits Syst. Signal Process.
,
34
(
8
), pp.
2695
2710
.
31.
Xu
,
B.
, and
Zhang
,
Y.
,
2015
, “
Neural Discrete Back-Stepping Control of Hypersonic Flight Vehicle With Equivalent Prediction Model
,”
Neurocomputing
,
154
, pp.
337
346
.
32.
Xu
,
B.
,
Pan
,
Y. P.
,
Wang
,
D. W.
, and
Sun
,
F. C.
,
2014
, “
Discrete-Time Hypersonic Flight Control Based on Extreme Learning Machine
,”
Neurocomputing
,
128
, pp.
232
241
.
33.
Yu
,
L.
,
Zhang
,
M. Q.
, and
Fei
,
S. M.
,
2013
, “
Nonlinear Adaptive Sliding Mode Switching Control With Average Dwell-Time
,”
Int. J. Syst. Sci.
,
44
(
3
), pp.
471
478
.
You do not currently have access to this content.