Modellizzazione numerica e caratterizzazione sperimentale di macchine e componenti oleodinamici

Nella prima parte di questa tesi di dottorato sono presentate le attività svolte, di carattere numerico, ai fini della modellizzazione di macchine volumetriche ad ingranaggi esterni. In particolare viene dapprima presentato un modello a parametri concentrati utilizzato per l’analisi dei fenomeni che coinvolgono l’area di ingranamento della macchina; un codice di calcolo associato al modello è stato sviluppato ed utilizzato per la determinazione dell’influenza delle condizioni di funzionamento e delle caratteristiche geometriche della macchina sulle sovra-pressioni e sull’eventuale instaurarsi della cavitazione nei volumi tra i denti che si trovano nell’area di ingranamento. In seguito vengono presentati i risultati ottenuti dall’analisi del bilanciamento assiale di diverse unità commerciali, evidenziando l’influenza delle caratteristiche geometriche delle fiancate di bilanciamento; a questo proposito, viene presentato anche un semplice modello a parametri concentrati per valutare il rendimento volumetrico della macchina ad ingranaggi esterni, con l’intenzione di usare tale parametro quale indice qualitativo della bontà del bilanciamento assiale. Infine, viene presentato un modello completo della macchina ad ingranaggi esterni, realizzato in un software commerciale a parametri concentrati, che permette di analizzare nel dettaglio il funzionamento della macchina e di studiare anche l’interazione della stessa con il circuito idraulico in cui è inserita. Nella seconda parte della tesi si presentano le attività legate alla messa in funzione di due banchi prova idraulici per la caratterizzazione sperimentale di macchine volumetriche e componenti di regolazione, con particolare attenzione dedicata alla messa a punto del sistema di acquisizione e gestione dei dati sperimentali; si presentano infine i risultati di alcune prove eseguite su componenti di regolazione e macchine volumetriche.

Parameter estimation in a growth model for a biological population

The motivating problem concerns the estimation of the growth curve of solitary corals that follow the nonlinear Von Bertalanffy Growth Function (VBGF). The most common parameterization of the VBGF for corals is based on two parameters: the ultimate length L∞ and the growth rate k. One aim was to find a more reliable method for estimating these parameters, which can capture the influence of environmental covariates. The main issue with current methods is that they force the linearization of VBGF and neglect intra-individual variability. The idea was to use the hierarchical nonlinear model which has the appealing features of taking into account the influence of collection sites, possible intra-site measurement correlation and variance heterogeneity, and that can handle the influence of environmental factors and all the reliable information that might influence coral growth. This method was used on two databases of different solitary corals i.e. Balanophyllia europaea and Leptopsammia pruvoti, collected in six different sites in different environmental conditions, which introduced a decisive improvement in the results. Nevertheless, the theory of the energy balance in growth ascertains the linear correlation of the two parameters and the independence of the ultimate length L∞ from the influence of environmental covariates, so a further aim of the thesis was to propose a new parameterization based on the ultimate length and parameter c which explicitly describes the part of growth ascribable to site-specific conditions such as environmental factors. We explored the possibility of estimating these parameters characterizing the VBGF new parameterization via the nonlinear hierarchical model. Again there was a general improvement with respect to traditional methods. The results of the two parameterizations were similar, although a very slight improvement was observed in the new one. This is, nevertheless, more suitable from a theoretical point of view when considering environmental covariates.

NLGA based Active Control in Aerospace: fault tolerability, disturbance rejection, and parameter estimation

A new control scheme has been presented in this thesis. Based on the NonLinear Geometric Approach, the proposed Active Control System represents a new way to see the reconfigurable controllers for aerospace applications. The presence of the Diagnosis module (providing the estimation of generic signals which, based on the case, can be faults, disturbances or system parameters), mean feature of the depicted Active Control System, is a characteristic shared by three well known control systems: the Active Fault Tolerant Controls, the Indirect Adaptive Controls and the Active Disturbance Rejection Controls. The standard NonLinear Geometric Approach (NLGA) has been accurately investigated and than improved to extend its applicability to more complex models. The standard NLGA procedure has been modified to take account of feasible and estimable sets of unknown signals. Furthermore the application of the Singular Perturbations approximation has led to the solution of Detection and Isolation problems in scenarios too complex to be solved by the standard NLGA. Also the estimation process has been improved, where multiple redundant measuremtent are available, by the introduction of a new algorithm, here called "Least Squares - Sliding Mode". It guarantees optimality, in the sense of the least squares, and finite estimation time, in the sense of the sliding mode. The Active Control System concept has been formalized in two controller: a nonlinear backstepping controller and a nonlinear composite controller. Particularly interesting is the integration, in the controller design, of the estimations coming from the Diagnosis module. Stability proofs are provided for both the control schemes. Finally, different applications in aerospace have been provided to show the applicability and the effectiveness of the proposed NLGA-based Active Control System.