Journal of Applied Mathematics / 2014 / Article / Tab 5 / Research Article
On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design Table 5 Comparison between the methods NM and DSQP for finding the local solutions of the problems (
5 )-(
6 ) and (
10 )–(
12 ), respectively; test problems are from [
8 ].
Problem Problem dimension Stability indicator
No. of iterations
NM DSQP AC1 5 3 3 1.0000
11 7 AC3 5 2 4 0.9991
20 19 AC4 4 1 2 1.2942
11 10 AC6 7 2 4 0.9992
19 17 AC7 9 1 2 1.0174
7 5 AC8 9 1 5 1.0012
21 18 AC15 4 2 3 0.9990
23 22 AC16 4 2 4 0.9989
25 21 AC17 4 1 2 0.9723
13 11 HE1 4 2 1 1.0280
5 4 HE2 4 2 2 0.9971
16 13 HE3 8 4 6 1.0088
9 6 REA1 4 2 2 1.2203
8 4 REA2 4 2 3 1.2227
7 4 REA3 12 1 3 1.0000
31 27 DIS1 8 4 4 0.9912
13 11 DIS2 3 2 2 1.1824
8 4 DIS3 6 4 4 0.9620
16 14 DIS4 6 4 6 1.1551
9 6 AGS 12 2 2 0.9786
7 5 TG1 10 2 2 0.9768
19 17 UWV 8 2 2 0.9989
20 19 IH 21 11 10 1.0000
5 3 EB1 10 1 1 0.9990
14 8 EB2 10 1 1 0.9990
9 8 TF1 7 2 4 1
— 8 PSM 7 2 3 0.9495
11 9 NN2 2 1 1 1.0000
3 2 NN4 4 2 3 0.9969
14 12 NN8 3 2 2 0.9971
14 13 NN11 16 3 5 0.9048
8 6 NN13 6 2 2 1.2147
7 4 NN15 3 2 2 1
7 6 NN16 8 4 4 1.0000
10 6 HF2D10 5 2 3 1.0133
4 3 HF2D11 5 2 3 1.0253
4 2 HF2D12 5 2 4 0.9830
13 — HF2D13 5 2 4 0.9756
13 12 HF2D14 5 2 4 1.0227
14 27 HF2D15 5 2 4 1.1689
8 6 HF2D17 5 2 4 1.0557
9 5 HF2D18 5 2 2 1.0285
8 6 MFP 4 3 2 0.9979
— 11 TMD 6 2 4 1
8 5 LAH 48 1 1 0.9742
3 2 DLR1 10 2 2 0.9995
9 6 DLR2 40 2 2 0.9995
6 5 DLR3 40 2 2 0.9995
7 5 HF1 130 1 2 0.9981
7 6 ISS1 270 3 3 0.9997
11 7
