Numerical Solutions Switched TS Systems

Published: 08-06-2021| Version 2 | DOI: 10.17632/s7hy9pndcg.2
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Description

Simulation and LMI codes for the problem of finding a constrained switching law such that the solution of a switched non-linear system enter and remain within a bounded region. The LMIs are solved with MATLAB toolboxes, Sedumi and Yalmip. We provide the procedure algorithms, the programs and simulation schemes to make it easier to reproduce and even improve the solutions given.

Files

Steps to reproduce

Files Example1.m Execute the routines necessary to reproduce an example for feasibility analysis with the numerical calculation of the set where the time derivative of the Lyapunov-like function can assume positive values. Example2.m Execute the routines necessary to reproduce an example for feasibility analysis using LMIs to assure that the set where the time derivative of the Lyapunov-like function can assume positive values is bounded. File Example3.m Execute the routines necessary to reproduce the time response and Lyapunov-like function of a non-linear switched and the estimate of attractor.