Banca de DEFESA: AMANDA DANIELLE OLIVEIRA DA SILVA DANTAS

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : AMANDA DANIELLE OLIVEIRA DA SILVA DANTAS
DATA : 01/10/2018
HORA: 08:30
LOCAL: Auditório do LAUT
TÍTULO:

Design of Controllers with Reduced Complexity for Constrained Linear Systems Using Data Cluster Analysis

PALAVRAS-CHAVES:

Linear Systems, Constrained Control, Multi-parametric Programming, Data Cluster Analysis, Invariant Sets.

PÁGINAS: 150
GRANDE ÁREA: Engenharias
ÁREA: Engenharia Elétrica
SUBÁREA: Eletrônica Industrial, Sistemas e Controles Eletrônicos
ESPECIALIDADE: Controle de Processos Eletrônicos, Retroalimentação
RESUMO:

Controller design for discrete-time linear systems subject to constraints can be carried out based on the concept of invariant sets, together with the solution of multiparametric programming problems. Such a solution is represented by a set of polyhedral regios associated to a Piecewise Affine (PWA) control law. However, for high-order systems, the multiparametric linear programming technique may result in controllers of high complexity, which require a hardware with great storage capacity in the memory and high processing power due to the a high number of polyhedral regions defining the PWA law. In this work we propose a number of numerical methods which aim to reduce the complexity of such controllers. To this end, the concept of invariant sets and the K q-flat data cluster analysis algorithm are applied. First, we show that the K q-flat algorithm can be used to establish a smaller number of polyhedral regions associated to a PWA state feedback control law. Then, this approach is extended to the design of static output feedback controllers for constrained systems and of state observers with error limitation. In addition, optimization problems are proposed to compute a suboptimal PWA law capable of further reducing the number of polyhedral regions. The results we present show that the proposed approaches are able to compute PWA laws with a smaller number of polyhedral regions when compared with the multiparametric solution, strongly reducing the computational cost associated to their implementation.

MEMBROS DA BANCA:
Presidente - 1328152 - CARLOS EDUARDO TRABUCO DOREA
Interno - 347628 - ADRIAO DUARTE DORIA NETO
Interno - 350693 - ANDRÉ LAURINDO MAITELLI
Externo à Instituição - EUGENIO DE BONA CASTELAN NETO - UFSC
Externo à Instituição - JOSÉ MÁRIO ARAÚJO - IFBA