Orientador : João Mauricio Rosario / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica / Made available in DSpace on 2018-08-03T08:57:26Z (GMT). No. of bitstreams: 1 David_SergioAdriani_D.pdf: 6908391 bytes, checksum: 3f7717f958c96997fd34af75cca160e5 (MD5) Previous issue date: 2003 / Resumo: Neste trabalho desenvolveu-se a modelagem dinâmica de estruturas flexíveis, a investigação de seu comportamento não linear por meio de simulações numéricas e a validação experimental através da montagem de um protótipo. Ressalta-se que em se tratando de sistemas não lineares, embora existam métodos de procedimento, não existe uma teoria única que possa atender às diferentes aplicações e necessidadesde análise não linear. Dessa maneira, abordou-se formas específicas de se tratar duas aplicações distintas, uma envolvendo manipuladores robóticos flexíveis e a outra um oscilador mecânico flexível. Desenvolveu-se ferramentas de modelagem, simulação, análise e implementação. A aplicação envolvendo o oscilador mecânico flexível teve âmbitos experimentais e os resultados de alguns ensaios sugerem uma boa concordância com o modelo teórico. Os resultados obtidos desse trabalho e o aparato experimental montado, ambos, permitem que diversas investigações futuras ainda possam ser realizados definidas e podem agregar conhecimento sobretudo aos interessados em temas relacionados à estruturas flexíveis e análise não linear / Abstract: This work deserihes the dynamic modeling of flexible structures. the investigation about its nonlinear behaviour through numerical simulations and the construction of an experimental appararus in order to validate the model. I outline the fact that to deal with nonlinear systems, although there are conduct method, there isn't a unique theory that could to attend to different applications and necessities of nonlinear analysis. For this reason, specific approach had been presented to deal with two applications, flexible robot manipulators and flexible mechanical oscillator. Dynamic modeling, numerical simulation, analysis and implement are performed. The application which involves the flexible mechanical oscillator have experimental scope and the results have showed a good agreement with the theoretical model. The results obtained and the experimental apparatus COnstructed. both, allow sundry future investigations and can add knowledge specially to the interested in flexible structures and nonlinear analysis / Doutorado / Mecanica dos Sólidos e Projeto Mecanico / Doutor em Engenharia Mecânica

New control methods are developed for the unconstrained motion and constrained force and motion control of flexible robots. The dynamic equations of the flexible robots are partitioned as pseudostatic equilibrium equations and deviations from them. The pseudostatic equilibrium considered here is defined as a hypothetical state where the tip point variables have their desired values while the modal variables are instantaneously constant. Then, the control torques for the pseudostatic equilibrium and for the stabilization of the deviation equations are formed in terms of tip point coordinates, modal variables and contact force components. The performances of the proposed methods are illustrated on a planar two-link robot and on a spatial three-link robot. Unmodeled dynamics and measurement noises are also taken into consideration. Performance of the proposed motion control method is compared with the computed torque method.

Les robots flexibles sont de plus en plus utilisés dans les applications pratiques. Ces robots sont caractérisés par une conception mécanique légère, réduisant ainsi leur encombrement, leur consommation d’énergie et améliorant leur sécurité. Cependant, la présence de vibrations transitoires rend difficile un contrôle précis de la trajectoire de ces systèmes. Cette thèse est précisément consacrée à l’asservissement en position des manipulateurs flexibles dans les espaces articulaire et opérationnel. Des méthodes de commande avancées, basées sur des outils de la commande robuste et de l’optimisation convexe, ont été proposées. Ces méthodes font en particulier appel à la théorie des systèmes linéaires à paramètres variants (LPV) et aux inégalités matricielles linéaires (LMI). En comparaison avec des lois de commande non-linéaires disponibles dans la littérature, les lois de commande LPV proposées permettent de considérerdes contraintes de performance et de robustesse de manière simple et systématique. L’accent est porté dans notre travail sur la gestion appropriée de la dépendance paramétrique du modèle LPV, en particulier les dépendances polynomiale et rationnelle. Des simulations numériques effectuées dans des conditions réalistes, ont permis d’observer une meilleure robustesse de la commande LPV par rapport à la commande non-linéaire par inversion de modèle face aux bruits de mesure, aux excitations de haute fréquence et aux incertitudes de modèle. / Flexible robots are becoming more and more common in practical applications. This type of robots is characterized by the use of lightweight materials, which allows reducing their size, their power consumption and improves their safety. However, an accurate trajectory tracking of these systems is difficult to achieve because of the transient vibrations they undergo. This PhD thesis work is particularly devoted to the position control of flexible robotic manipulators at the joint and end-effector levels. Advanced control methods, based on some tools of the robust control theory and convex optimization, have been proposed. These methods are based on the theory of Linear Parameter Varying (LPV) systems and Linear Matrix Inequalities (LMI). Compared to some nonlinear control laws available in the literature that involve model inversion, theproposed LPV control laws make it possible to consider performance and robustness constraints in a simple and systematic manner. Our work particularly emphasizes on the appropriate management of the parametric dependence of the LPV model, especially the polynomial and rational dependences. Numerical simulations carried out in realistic operating conditions have shown a better robustness of the LPV control compared to the inversion-based nonlinear control withrespect to measurement noise, high frequency inputs and model uncertainties.