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Possibili temi per attività di tesi Prof. Gianmaria D E TOMMAS Email: detommas@unina.it Napoli, 19 Dicembre 2018, DE UNVERSTA DEGL STUD D NAPOL FEDERCO DPARTMENTO D NGEGNERA ELETTRCA E DELLE TECNOLOGE DELL NFORMAZONE

DE UN Outline NA 1 Analisi di SED modellati con reti di Petri Non-interferenza Opacità 2 Controllo magnetico in tokamak 3 Altre attività 2 of 28

DE UN NA Analisi di SED modellati con reti di Petri Temi Non-interferenza in SED Opacità 3 of 28

DE UN Non-interference NA n system security it is important to prevent information leaks Objective: to prevent to an intruder to access to secret information DES have been used to model different information flow properties opacity (the secret is a state or a sequence) non-interference Y.-C. Wu and S. Lafortune, Comparative analysis of related notions of opacity in centralized and coordinated architectures, Discrete Event Dyn. Syst., vol. 23, no. 3, pp. 307 339, 2013 N. Busi and R. Gorrieri, A survey on non-interference with Petri nets, Lectures on Concurrency and Petri Nets, pp. 328 344, 2004 4 of 28

DE UN NA Non-interference in PN systems Two classes of users: high-level and low-level users A leak of information occurs when a low-level user (the intruder) obtains information meant to be visible only to high-level users Both high-level and low-level users know the system structure, but they interact with the system in two different ways (views) f the high-level view of the system interferes with the low-level one, information leaks may occur 5 of 28

DE UN NA Risultati ottenuti e possibili attività Risultati ottenuti (2017-2018) Condizioni necessarie e sufficienti per verificare due diverse proprietà di non interferenza L approccio si basa sulla rappresentazione algebrica delle reti di Petri Le condizioni proposte si basano sulla soluzione di problemi LP Algoritmo per determinare l insieme più piccolo di transizioni di alto livello da disabilitare offline per assicurare la non-interferenza Possibili temi di tesi Estensione dei risultati di analisi alle reti etichettate Determinazione di un algoritmo dinamico che assicuri non-interferenza a ciclo chiuso 6 of 28

DE UN NA The opacity problem Opacity in DES is related to the possibility of hiding a secret to external observers (the intruders) The secret can be either a system state (initial, current, final) a sequence of events Language-based opacity (LBO) Y.-C. Wu and S. Lafortune, Comparative analysis of related notions of opacity in centralized and coordinated architectures, Discrete Event Dyn. Syst., vol. 23, no. 3, pp. 307 339, 2013 7 of 28

DE UN Toy example NA the secret sequence is abc c is the only observable event (whose occurrence can be directly measured) observing the single occurrence of c, an intruder will never no if either abc or bac occurred the system is said to be opaque 8 of 28

DE UN NA Risultati ottenuti e possibili attività Risultati ottenuti (2017-2018) Condizione necessaria e sufficiente per verificare la language based opacity (LBO) in reti etichettate Condizione sufficiente (ma meno onerosa computazionalmente) LBO Possibili temi di tesi Generalizzazione dell approccio anche alla state opacity Determinazione di un algoritmo dinamico che assicuri opacità a ciclo chiuso 9 of 28

DE UN NA Nuclear Fusion for Dummies Main Aim Production of energy by means of a fusion reaction D+T 4 He + n Plasma High temperature and pressure are needed Fully ionised gas 7 Plasma Magnetic field is needed to confine the plasma 10 of 28

DE UN NA Plasma magnetic control n tokamaks, magnetic control of the plasma is obtained by means of magnetic fields produced by the external active coils n order to obtain good performance, it is necessary to have a plasma with vertically elongated cross section vertically unstable plasmas t is important to maintain adequate plasma-wall clearance during operation 11 of 28

DE UN NA The magnetic control problems The plasma (axisymmetric) magnetic control in tokamaks includes the following three control problems the vertical stabilization problem the shape and position control problem the plasma current control problem 12 of 28

DE UN NA The plasma vertical instability Simplified filamentary model Consider the simplified electromechanical model with three conductive rings, two rings are kept fixed and in symmetric position with respect to the r axis, while the third can freely move vertically. f the currents in the two fixed rings are equal, the vertical position z = 0 is an equilibrium point for the system. 13 of 28

DE UN NA Stable equilibrium - 1/2 f sgn(p ) 6= sgn() 14 of 28

DE UN NA Stable equilibrium - 2/2 f sgn(p ) 6= sgn() 15 of 28

DE UN NA Unstable equilibrium - 1/2 f sgn(p ) = sgn() 16 of 28

DE UN NA Unstable equilibrium - 2/2 f sgn(p ) = sgn() 17 of 28

DE UN NA Un architettura flessibile per il controllo magnetico nei tokamak 18 of 28

DE UN Collaborazioni NA Joint European Tokamak (Regno Unito) TER Organization EAST (Repubblica Popolare Cinese) JT-60SA (Giappone) Fusion for Energy (UE) Max Planck PP (Germania), ST-PFN (Portogallo), SPC (Svizzera),... 19 of 28

Figure: Shape comparison at 22.5 s. Black shape (#81710 without CLA), red shape (#81715 with CLA). Figure: Currents in the divertor circuits. #81710 (reference pulse without CLA) and pulse #81715 (with CLA). The shared areas correspond to regions beyond the current limits enforced by the CLA parameters. 20 of 28

DE UN NA A MMO controller for plasma shape and t flux integrated control at EAST Figure: Option #1 - integrated control of plasma shape and flux expansion. Figure: Option #2 - integrated control of plasma shape and distance between null points. 21 of 28

DE UN NA EAST architecture The EAST architecture is compliant to the one proposed for TER & DEMO The control algorithms deployed within the EAST PCS do not satisfy the requirements needed to easily replace the shape controller vertical stabilization is strongly coupled with plasma shape control The PF Coils current controller can be improved (better decoupling) 22 of 28

DE UN NA TER-like VS at EAST 1 + sτ1 s UCref (s) = Kv pref Zc (s) + KC C (s) 1 + sτ2 1 + sτz 23 of 28

DE UN NA Experimental results - 1/2 Figure: EAST pulse #70799. During this pulse the TER-like VS was enabled from t = 2.1 s for 1.2 s, and only p and rc were controlled, while zc was left uncontrolled. This first test confirmed that the TER-like VS vertically stabilized the plasma by controlling z c and C, without the need to feed back the vertical position zc. 24 of 28

DE UN NA Experimental results - 2/2 Figure: EAST pulses #70799 & #71423. Tuning of the controller parameters to reduce oscillations on zc. 25 of 28

DE UN NA Possibili attività di tesi Sviluppo di sistemi di controllo magnetico (design, analisi, ecc.) Sviluppo di sistemi di supervisione del PCS Tecniche di fault detection e sviluppo di sistemi fault tollerant per diagnostiche magnetiche... 26 of 28

DE UN NA Ulteriori possibili attività di tesi Tesi presso aziende di automazione (province di Avellino, Salerno e Caserta) Tesi presso ST microelectronics Sviluppo di sistemi di controllo in ambito aeronautico (a partire da giugno/luglio 2019) Stay tuned! Tenete d occhio le news sulla pagina www.automazione.it, la pagina FB e il profilo Twitter 27 of 28

Possibili temi per attività di tesi Prof. Gianmaria D E TOMMAS Email: detommas@unina.it Napoli, 19 Dicembre 2018 Now we are ready to start :), DE UNVERSTA DEGL STUD D NAPOL FEDERCO DPARTMENTO D NGEGNERA ELETTRCA E DELLE TECNOLOGE DELL NFORMAZONE