Numerical interpretation of controllability coefficients in nonlinear dynamics
Carregando...
Data
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Minas Gerais
Descrição
Tipo
Artigo de periódico
Título alternativo
Primeiro orientador
Membros da banca
Resumo
As its dual, observability, the controllability of controllable systems actuated in different ways can be quantified by coefficients which can be computed either by a numerical approach or a symbolic one. If the interpretation of observability coefficients is rather straightforward, this is not the case for controllability. This paper, after proposing slight but important adjustments to the computation of numerical controllability coefficients puts forward a numerical framework that can be used to provide some clue as how to interpret the role played by numerical and symbolical controllability coefficients. Using four different chaotic systems, it is showed how controllability may depend on the derivative to which the control law is applied and how this may be related to the corresponding coefficients. In practice could help to decide where to place actuators. The developed framework has two backbones: the power needed to achieve control and the rate of success of the control, the latter is not considered in the surveyed literature. Our results show that numerical and symbolic coefficients quantify different aspects of the problem and confirm how controllability is difficult to interpret in practice without any consideration for observability.
Abstract
Assunto
Teoria do controle
Palavras-chave
A framework is developed to validate controllability coefficients. The main backbones of the framework is the power required to achieve control and the control rate of success. A general model-independent Proportional–Integral control law is implemented within the framework. The framework helps to interpret the meaning such coefficients as illustrated in four examples., Controllability, Control power, Proportional–integral control law, Observability, Flatness
Citação
Departamento
Curso
Endereço externo
https://www.sciencedirect.com/science/article/pii/S1007570422003628