Computational results of the induced L2-gain computation for the pendulum-cart system in [PPKSz20] are available in
workspace/results_stored/model2_ipend-values.mat
[PPKSz20] Polcz, Péni, Kulcsár, Szederkényi. Induced L2-gain computation for rational LPV systems using Finsler's lemma and minimal generators. Preprint submitted to Systems & Control Letters, 2020.
Used Matlab toolboxes:
[1] Symbolic Math Toolbox. Mathworks Matlab R2019b. https://www.mathworks.com/products/symbolic.html
[2] Control System Toolbox. MathWorks Matlab R2019b. https://www.mathworks.com/products/control.html
[3] Balas, Chiang, Packard and Safonov (2019). Robust control toolbox™ 6.7. MathWorks Matlab R2019b. https://www.mathworks.com/products/robust.html
External dependencies not included in the repository:
[4] Hjartarson, Seiler, Packard. LPVTools: a toolbox for modeling, analysis, and synthesis of parameter varying control systems, IFAC-PapersOnLine 48 (26) (2015) 139–145, 1st IFAC Workshop on Linear Parameter Varying Systems, Grenoble, France. doi:10.1016/j.ifacol.2015.11.127. https://dept.aem.umn.edu/~SeilerControl/software.shtml
[5] Scherer, Köroğlue, Farhood. LPVMAD - The IQC analysis tool, Tech. Report, TU Delft for ESA.
[6] Magni, User manual of the Linear Fractional Representation Toolbox: version 2.0 (Jan. 2006). URL https://w3.onera.fr/smac/lfrt
[7] Löfberg, YALMIP : a toolbox for modeling and optimization in MATLAB, in: Proceedings of the CACSD Conference, Taipei, Taiwan, 2004. doi:10.1109/CACSD.2004.1393890. URL http://users.isy.liu.se/johanl/yalmip
##Suggested SDP solver
[8] MOSEK ApS. The MOSEK optimization toolbox for MATLAB 7.1 (revision 28), 2015. http://docs.mosek.com
[9] Sturm, Romanko, Pólik, CORAL Lab. SeDuMi: A linear/quadratic/semidefinite solver for Matlab and Octave. http://sedumi.ie.lehigh.edu, https://github.com/sqlp/sedumi
[10] Toh, Tütüncü, Todd. SDPT3 - a MATLAB software package for semidefinite-quadratic-linear programming. URL http://www.math.cmu.edu/~reha/sdpt3.html