On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design

Table 3

Convergence behavior of the method DSQP for Example 18.

𝑘	𝐽𝑘	‖∇𝑈ℓ𝑘‖	𝜌(𝐴(𝐹𝑘))	𝑖cg
1	1.3612𝑒+003	1.7167𝑒+004	9.6199𝑒−001	1
2	9.6941𝑒+002	7.6729𝑒+003	9.4539𝑒−001	1
3	6.9504𝑒+002	3.4950𝑒+003	9.6356𝑒−001	1
⋮	⋮	⋮	⋮	⋮
12	6.7653𝑒+001	1.2410𝑒−002	9.0019𝑒−001	5
13	6.7653𝑒+001	7.0258𝑒−005	9.0021𝑒−001	8
14	6.7653𝑒+001	1.3558𝑒−008	9.0021𝑒−001	13