Funções de Lyapunov lineares por partes para sistemas lineares discretos no tempo com saturação ou zona morta nos controles

AUTOR(ES)
DATA DE PUBLICAÇÃO

2001

RESUMO

This thesis is dedicated to stability analysis of linear discrete-time systems with saturation ar deadzone in feedback controls, with special attention to unstable open-Ioop systems. Linear systems with perfectly known parameters and systems with uncertain parameters constrained to a compact polytope are considered. For systems with saturations, the main objective is determination of convex polyhedral estimates of the region of local asymptotic stability of origino For systems with deadzones, the main objective is determination of external convex polyhedral approximations of the minimal uniform ultimate boundedness set containing origin, for delimitation and stability analysis of a possible limit cyc1einside it. The problems are treated according to second method of Lyapunov via characterization and construction of piecewise-linear Lyapunov functions. The Lyapunov functions are characterized and constructed using linear programming formulations and algorithms.

ASSUNTO(S)

estabilidade funções de programação linear lyapunov sistemas lineares

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