Dorea, Carlos Eduardo TrabucoOliveira, Andreza Crystine Carvalho de2021-02-032021-02-032020-11-06OLIVEIRA, Andreza Crystine Carvalho de. Cálculo de conjuntos invariantes controlados robustos com complexidade fixa usando otimização bilinear. 2020. 51f. Dissertação (Mestrado em Engenharia Elétrica e de Computação) - Centro de Tecnologia, Universidade Federal do Rio Grande do Norte, Natal, 2020.https://repositorio.ufrn.br/handle/123456789/31364In this work, a methodology for the computation of robust controlled invariant polyhedra of fixed complexity, based on bilinear optimization, is proposed for discrete-time linear systems, subject to constraints on the states and control inputs and to bounded disturbances. In many real-life applications, certain variables in a system must comply with certain constraints. In general, these constraints are specified by linear inequalities that define limited and closed polyhedral sets. A polyhedral set is robust controlled invariant if any state trajectory starting in this set can be maintained within it through a suitable control input, in spite of the disturbances. Thus, the calculation of a controlled invariant set is an important step in solving control problems under constraints. Conventional methods for robust invariant polyhedra computation can result in high complexity sets, defined by a large number of vertices. The methodology proposed in this work has bilinear invariance conditions and polyhedra represented by vertices, whose quantity is fixed in advance. The aim is also to maximize the volume of the robust controlled invariant polyhedra. Through numerical examples, the application of methodology is able to compute polyhedra with larger volume in relation to the methods available in the literature, which also seek sets with reduced complexity. In addition, a methodology is numerically efficient, applicable to larger systems than those treated by the methods available in the literature.Acesso AbertoSistemas linearesConjuntos invariantesControle sob restriçõesPoliedros invariantes robustosOtimização bilinearCálculo de conjuntos invariantes controlados robustos com complexidade fixa usando otimização bilinearmasterThesis