robust_d_stability_​analysis.zip

Function to analyze robust D-stability of polytopic systems
psstab.m Function to analyze robust D-stability of polytopic systems based on BnB algorithm.
d_stab_peaucelle_t1.m LMI D-stability analysis formulation based on Theorem T1 in [1].
d_stab_peaucelle_t1.m LMI D-stability analysis formulation based on Theorem T4 in [1].
d_stab_leite.m LMI D-stability analysis formulation based on Theorem T1 in [2].
d_stab_example1.m Example of application of the function psstab: longitudinal short period mode of the F4E fighter aircraft
d_stab_example2.m Example of application of the function psstab: vertical-plane dynamics of an aircraft
d_stab_example3.m Example of application of the function psstab: 3 polytope vertices discrete-time system

Related papers:

- E. N. GONÇALVES, R. M. PALHARES, R. H. C. TAKAHASHI, R. C. MESQUITA. New Approach to Robust D-Stability Analysis of Linear Time-invariant Systems with Polytope-bounded Uncertainty. IEEE Transactions on Automatic Control, v. 51, issue 10, p. 1709-1714, 2006.
- E. N. GONÇALVES, R. M. PALHARES, R. H. C. TAKAHASHI, R. C. MESQUITA. New strategy for robust stability analysis of discrete-time uncertain systems. Systems and Control Letters, v. 56, issues 7-8, p. 516-524, 2007.