Pedro Luis Dias Peres

• Abstract

  The objective of the research is to develop methods for designing output feedback controllers for linear parameter-varying (LPV) systems. These systems are subject to persistent disturbances with limited amplitudes and have limits on the rate of variation of control inputs. The goal is to develop algebraic conditions to calculate feedback gains explicitly and to define local stability dom…

  Contributions to the Output Feedback Controller Design for LPV Systems Subject to Amplitude Bounded Perturbations and with Constrained Control Input Variations, AV.BR

• Abstract

  The aim of this project is to further advance the studies for the use of linear matrix inequalities in stability analysis and in the design of controllers and filters for dynamic systems subject to uncertainties. Continuous and discrete, time-variant and invariant linear systems, as well as the presence of delays, nonlinearities and saturations are investigated.Particular classes as switc…

  Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems, AP.R

• Abstract

  The main goal of this project is to apply linear algebra techniques to signal processing, circuits and systems, taking into account noise and parametric uncertainties. The similarity of the techniques handling signals and systems strongly links these areas, usually addressed separately. The use of the same transforms (Laplace, Fourier and Z) and methods (matrix inequalities, symbolic comp…

  Linearity in signals, circuits and systems, AP.TEM

(Only some records are available in English at this moment)

• Abstract

  The aim of this plan is to study iterative strategies based on Linear Matrix Inequalities (LMIs) to compute stabilizing static output feedback gains for uncertain linear systems, in continuous- and discrete-time. The matrices of the model, subject to time-invariant uncertain parameters, are described as a convex combination of the vertices of a polytope. The certificates of stability for …

  Linear matrix inequality based iterative methods for output feedback, BP.IC

• Abstract

  The aim of this plan is to study the problem of robust stability analysis for linear systems with uncertain parameters. In the literature, most approaches are based on Lyapunov's stability theory, generally resulting in tests formulated as Linear Matrix Inequalities (LMIs). LMIs are convex optimization problems that can be solved by algorithms with proven efficiency. Particularly for the …

  Robust stability analysis of uncertain linear systems through the Liénard-Chipart criterion, BP.IC

• Abstract

  This PhD research project aims to develop new conditions of stability analysis and designof controllers and filters for dynamical systems represented by linear mathematical models with parametric uncertainties, time-invariant and time-varying, non-linearities such as saturation, dead zone, etc., focusing in particular on switched systems. In the context of control and filtering, the robus…

  Stability, control and filtering for uncertain dynamical systems by means of linear matrix inequalities, BP.DR

(Only some records are available in English at this moment)

• Abstract

  The original Scientific Initiation project aims to study the problem of robust stability analysis for linear systems with uncertain parameters by means of an alternative stability condition based on Hurwitz determinants, known as the Liénard-Chipart criterion, which expresses the problem in terms of the analysis of a scalar polynomial. To ensure that the stability test is conclusive, a pr…

  Constructing alternative certificates for polynomial positivity with Bernestein's and Handelman's basis, BE.EP.IC

• Abstract

  The aim of the master project is to study the stability of uncertain time-varying discrete-time systems by means of Linear Matrix Inequalities (LMIs). The uncertain systems are represented by polytopic models, with time-invariant or time-varying parameters. In the time-varying case, the parameters can vary arbitrarily, can have bounded variations or can be described by a known dynamic lin…

  LMI conditions for stability and stabilization of uncertain discrete-time switched linear systems, BE.EP.MS

• Abstract

  The aim of this project is to study the problem of full order robust filter design for linear systems with time-invariant uncertain parameters belonging to a polytope, taking into account performance criteria such as the minimization of bounds to the H-infinity and H2 norms of the transfer function from the exogenous noise input to the filter output. Both continuous and discrete-time syst…

  Robust finite range H-infinity filtering using LMIs with a scalar, BE.EP.MS

(Only some records are available in English at this moment)