The aim of this project is to study the problem of model reduction order and reduced order controller design for linear systems affected by time-invariant uncertain parameters, taking into account performance criteria such as the minimization of bounds to the H-infinity and H-2 norms. Both continuous and discrete-time systems will be considered. Strategies based on parameter-dependent Lyapunov functions will be adopted to solve the problems, providing existence conditions in terms of matrix inequalities that include scalar parameters. For fixed values of the scalars, the conditions become linear matrix inequalities (LMIs). Computational tools available in Matlab will be used to program the LMIs, together with parsers and solvers of public domain.
News published in Agência FAPESP Newsletter about the scholarship: