On the numerical computation of the Mittag-Leffler function

Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method.

Analysis of Systems with Backlash and Impacts through the Describing Function

This paper analyses the dynamical properties of systems with backlash and impact phenomena based on the describing function method. The dynamics is illustrated using the Nyquist and Bode plots and the results are compared with those of standard models.

Formation Control Driven by Cooperative Object Tracking

In this paper we introduce a formation control loop that maximizes the performance of the cooperative perception of a tracked target by a team of mobile robots, while maintaining the team in formation, with a dynamically adjustable geometry which is a function of the quality of the target perception by the team. In the formation control loop, the controller module is a distributed non-linear model predictive controller and the estimator module fuses local estimates of the target state, obtained by a particle filter at each robot. The two modules and their integration are described in detail, including a real-time database associated to a wireless communication protocol that facilitates the exchange of state data while reducing collisions among team members. Simulation and real robot results for indoor and outdoor teams of different robots are presented. The results highlight how our method successfully enables a team of homogeneous robots to minimize the total uncertainty of the tracked target cooperative estimate while complying with performance criteria such as keeping a pre-set distance between the teammates and the target, avoiding collisions with teammates and/or surrounding obstacles.

Adaptive Penalty and Barrier function based on Fuzzy Logic

Optimization methods have been used in many areas of knowledge, such as Engineering, Statistics, Chemistry, among others, to solve optimization problems. In many cases it is not possible to use derivative methods, due to the characteristics of the problem to be solved and/or its constraints, for example if the involved functions are non-smooth and/or their derivatives are not know. To solve this type of problems a Java based API has been implemented, which includes only derivative-free optimization methods, and that can be used to solve both constrained and unconstrained problems. For solving constrained problems, the classic Penalty and Barrier functions were included in the API. In this paper a new approach to Penalty and Barrier functions, based on Fuzzy Logic, is proposed. Two penalty functions, that impose a progressive penalization to solutions that violate the constraints, are discussed. The implemented functions impose a low penalization when the violation of the constraints is low and a heavy penalty when the violation is high. Numerical results, obtained using twenty-eight test problems, comparing the proposed Fuzzy Logic based functions to six of the classic Penalty and Barrier functions are presented. Considering the achieved results, it can be concluded that the proposed penalty functions besides being very robust also have a very good performance.

Condições de trabalho, comprometimento organizacional e saúde mental: um estudo no setor da bricolage

A presente investigação tem como objetivo principal avaliar a relação entre as Condições de Trabalho, o Comprometimento Organizacional, a Satisfação Social, e a Saúde Mental dos trabalhadores no setor da Bricolage. É sua intenção compreender se as Condições de Trabalho são preditoras de Comprometimento Organizacional e Satisfação com as Relações Sociais, e se o Comprometimento Organizacional explica o Burnout, a Ansiedade e a Depressão destes trabalhadores. Investiga igualmente, através de análises exploratórias, a possível influência de algumas variáveis sociodemográficas e profissionais nos diversos construtos verificados. Participaram neste estudo, num universo de 564 colaboradores de organizações de venda de material de Bricolage da região Norte de Portugal, 190 trabalhadores (33,7%), sendo que 42,6% (n = 81) são do sexo Feminino e 57,4% (n = 109) do sexo Masculino. A metodologia do estudo seguiu uma abordagem quantitativa, com carácter descritivo, exploratório e preditivo, com utilização de inquérito por questionário. A recolha de dados foi feita num único momento através de uma série de instrumentos, entre os quais: Cuestionario de Condiciones de Trabajo (qCT) – Escalas Método e Ambiente; Three-Component Model of Organizational Commitment; The General Health Questionnaire (GHQ-12); World Health Organization Quality of Life – Bref (WHOQOL-Bref) – Escala das Relações Sociais; Maslach Burnout Inventory – General Survey (MBI-GS); Ficha Demográfico Profissional. As análises psicométricas destes mostraram uma validade e uma fidelidade bastante satisfatória. Os resultados obtidos neste estudo apontam, que as Condições de Trabalho são preditoras, quer do Comprometimento Organizacional, quer da Satisfação com as Relações Sociais. O Comprometimento Organizacional é, preditor significativo de maior Saúde Mental, e igualmente de menor síndrome de Burnout. As análises exploratórias mostraram diferenças significativas em termos de variáveis sociodemográficas (e.g. Idade: Comprometimento Organizacional, Saúde Mental e Burnout; Estado Civil: Condições de Trabalho; Número de Filhos: Comprometimento Organizacional). Quanto às variáveis profissionais, foram encontradas significâncias na Antiguidade (Comprometimento Organizacional e Saúde Mental) e na Função (Comprometimento Organizacional, Condições de Trabalho e Burnout). No final deste trabalho são discutidos e apresentados os principais resultados obtidos e as suas conclusões.