Distributed non-cooperative robust economic predictive control for dynamically coupled linear systems.

In this thesis, a tube-based Distributed Economic Predictive Control (DEPC) scheme is presented for a group of dynamically coupled linear subsystems. These subsystems are components of a large scale system and control inputs are computed based on optimizing a local economic objective. Each subsystem is interacting with its neighbors by sending its future reference trajectory, at each sampling time. It solves a local optimization problem in parallel, based on the received future reference trajectories of the other subsystems. To ensure recursive feasibility and a performance bound, each subsystem is constrained to not deviate too much from its communicated reference trajectory. This difference between the plan trajectory and the communicated one is interpreted as a disturbance on the local level. Then, to ensure the satisfaction of both state and input constraints, they are tightened by considering explicitly the effect of these local disturbances. The proposed approach averages over all possible disturbances, handles tightened state and input constraints, while satisfies the compatibility constraints to guarantee that the actual trajectory lies within a certain bound in the neighborhood of the reference one. Each subsystem is optimizing a local arbitrary economic objective function in parallel while considering a local terminal constraint to guarantee recursive feasibility. In this framework, economic performance guarantees for a tube-based distributed predictive control (DPC) scheme are developed rigorously. It is presented that the closed-loop nominal subsystem has a robust average performance bound locally which is no worse than that of a local robust steady state. Since a robust algorithm is applying on the states of the real (with disturbances) subsystems, this bound can be interpreted as an average performance result for the real closed-loop system. To this end, we present our outcomes on local and global performance, illustrated by a numerical example.

Feedback control of underactuated cable-driven parallel robots

In this work an Underactuated Cable-Driven Parallel Robot (UACDPR) that operates in the three dimensional Euclidean space is considered. The End-Effector has 6 degrees of freedom and is actuated by 4 cables, therefore from a mechanical point of view the robot is defined underconstrained. However, considering only three controlled pose variables, the degree of redundancy for the control theory can be considered one. The aim of this thesis is to design a feedback controller for a point-to-point motion that satisfies the transient requirements, and is capable of reducing oscillations that derive from the reduced number of constraints. A force control is chosen for the positioning of the End-Effector, and error with respect to the reference is computed through data measure of several sensors (load cells, encoders and inclinometers) such as cable lengths, tension and orientation of the platform. In order to express the relation between pose and cable tension, the inverse model is derived from the kinematic and dynamic model of the parallel robot. The intrinsic non-linear nature of UACDPRs systems introduces an additional level of complexity in the development of the controller, as a result the control law is composed by a partial feedback linearization, and damping injection to reduce orientation instability. The fourth cable allows to satisfy a further tension distribution constraint, ensuring positive tension during all the instants of motion. Then simulations with different initial conditions are presented in order to optimize control parameters, and lastly an experimental validation of the model is carried out, the results are analysed and limits of the presented approach are defined.

Il ruolo del controllo posturale per il movimento selettivo degli arti superiori attraverso la facilitazione con trunk constraint nel paziente neurologico: case report

Background Recentemente la letteratura scientifica ha dimostrato come un corretto controllo posturale faciliti i movimenti dell’arto superiore. Ci sono evidenze secondo cui, applicando al paziente dei contenimenti sul tronco, si ha un miglioramento della funzionalità dell’arto superiore. Obiettivi L’obiettivo principale della tesi era quello di verificare come il sostegno del tronco con l’utilizzo di una stabile struttura assiale, attraverso un supporto esterno definito “trunk constraint”, incrementi il controllo posturale, per facilitare i movimenti frazionati degli arti superiori in persone con esiti di patologie neurologiche. Materiali e metodi Il caso clinico riguarda un uomo di 60 anni con esiti di emiparesi sinistra da ictus ischemico destro. E’ stato eseguito un protocollo di dieci sessioni di trattamento, di un’ora ciascuna, in cui veniva applicata la facilitazione attraverso trunk constraint in diversi setting riabilitativi. I dati sono stati raccolti tramite le scale: Trunk Control Test, Trunk Impairment Scale e Fugl-Meyer Assessment. Inoltre, è stata eseguita l’analisi osservazionale, attraverso videoripresa, di un gesto funzionale dell’arto superiore. Risultati I dati rilevati dimostrano degli effetti positivi rispetto alle ipotesi di partenza. Infatti sono stati riscontrati miglioramenti negli item delle scale somministrate e nella valutazione qualitativa dell’arto superiore. In particolare, si è evidenziato un miglioramento nel controllo del tronco nella scala Trunk Control Test e nella Trunk Impairment Scale e della funzione dell’arto superiore alla scala Fugl-Meyer Assessment. L’analisi osservazionale dei video dimostra un miglioramento del timing di attivazione durante la fase di reaching. Conclusioni I risultati ottenuti supportano il fatto che un incremento dell’attività antigravitaria del tronco, anche attraverso supporti esterni come la trunk constraint, possono facilitare un miglioramento funzionale dell’arto superiore.