Open AccessPerturbation Analysis of the Continuous-time Regional Pole Assignment and H2 Performance Control Problems: an LMI Approach
Author(s) -
Andrey Yonchev
Publication year - 2014
Publication title -
information technologies and control
Language(s) - English
Resource type - Journals
eISSN - 2367-5357
pISSN - 1312-2622
DOI - 10.1515/itc-2016-0004
Subject(s) - perturbation (astronomy) , control theory (sociology) , mathematics , linear matrix inequality , lyapunov function , matrix (chemical analysis) , mathematical optimization , computer science , control (management) , nonlinear system , physics , quantum mechanics , artificial intelligence , materials science , composite material
In the paper a method to conduct perturbation analysis of regional pole assignment and H 2 performance control problems for linear continuous-time systems are investigated. The studied control problems are based on solving LMIs (Linear Matrix Inequalities) and applying Lyapunov functions. The problem of performing sensitivity analysis of the perturbed matrix inequalities is done in a similar way as for perturbed matrix equations, after introducing a slightly perturbed right hand part. The calculated perturbation bounds can be used to analyze the feasibility and performance of the considered control problems in presence of perturbations in the system and the controller. An illustrative numerical example is also discussed in this paper.