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

Table 1

Convergence behavior of the method DSQP for Example 16.

𝑘	𝐽𝑘	‖∇𝑈ℓ𝑘‖	𝜌(𝐴(𝐹𝑘))	𝑖cg
1	3.1135𝑒+005	8.4992𝑒+007	9.9838𝑒−001	0
2	2.1007𝑒+005	3.7773𝑒+007	9.9745𝑒−001	1
3	1.4256𝑒+005	1.6786𝑒+007	9.9581𝑒−001	1
⋮	⋮	⋮	⋮	⋮
19	1.5151𝑒+003	2.8400𝑒−003	9.6853𝑒−001	6
20	1.5151𝑒+003	7.6411𝑒−005	9.6853𝑒−001	6
21	1.5151𝑒+003	9.0844𝑒−009	9.6853𝑒−001	8