Iordanem novimus. La parafrasi prudenziana di Ios. 3,13-17 e Ps. 113,3 in Perist. 7,66-70

Nell’inno in onore di Quirino, vescovo e martire di Siscia (perist. 7), Prudenzio inserisce, ai versi 66-70, una parafrasi del passo biblico relativo all’attraversamento del Giordano da parte del popolo di Israele (Ios. 3,13-17). Sebbene la presenza di questa pericope non rappresenti un unicum all’interno dell’opus prudenziano, è possibile tuttavia rilevare come il caso di perist. 7 risalti per la sua originalità. Il poeta, infatti, probabilmente influenzato da Ambrogio, si concentra in modo esclusivo sulla descrizione della corrente del fiume e sul suo miracoloso refluire ad fontem (come riportato da Ps. 113,3), senza concedere ulteriore spazio ad altri elementi narrativi. Questi cinque gliconei, inoltre, analizzati nella loro struttura ‘retorica’ e nella densa trama di riferimenti letterari, permettono di apprezzare la precisa volontà da parte di Prudenzio di suggestionare la ‘memoria dotta’ del lettore, al fine di permettergli di guardare a questo particolare esempio della virtus del Dio dei cristiani, attraverso la memoria della tradizione culturale e letteraria di Roma.Inside the hymn dedicated to Quirinus, bishop and martyr of Siscia (perist. 7), Prudentius inserts (v. 66-70) a paraphrase of the biblical episode on the Israelite’s crossing of the Jordan river (Ios. 3,13-17). Even if the presence of this pericope doesn’t represent an unicum in the work of Prudentius, it’s possible to point out how the case of perist. 7 stands up, thanks to its originality. Here, infact, the poet, probably influenced by Ambrosius, focuses only on the description of Jordan’s running water and its miracolous pulling back ad fontem (as told only by Ps. 113,3 refers), without giving any space to other narrative elements. This study offers an analysis of the ‘rethorical’ structure and literary quotations of these five glyconics, in order to appreciate the poet’s will to look at this particular example of the christian God’s virtue, through the memory of the cultural and literary tradition of Rome

An almost Anti-Windup scheme for plants with magnitude, rate and curvature saturation

peer reviewedWe address the anti-windup augmentation problem for plants with saturations on the magnitude, rate and curvature of the control input. To this aim, given an unconstrained closed-loop, we generate a slightly modified strictly proper controller for which the derivatives of the control signal are available and we solve the anti-windup problem for this modified control scheme (namely, an almost anti-windup for the original closed-loop). Based on this “almost” approach, we revisit an existing Model Recovery anti-windup solution for rate and magnitude saturated plants and then we extend the results to the case of rate, magnitude and curvature saturation, by providing a Model Recovery solution to this additional problem. An example illustrates the peculiarities and the effectiveness of the proposed solutions

Appendix to "Torque setpoint tracking for parallel hybrid electric vehicles using dynamic input allocation", published on IEEE Transactions on Control Systems Technology

A dynamic allocator is proposed in order to generalize a previously introduced strategy for input redundant plants, which applies to linear plants with multiple and redundant inputs. The theory is extended here to the case of multiple linear actuators, each of them with its own dynamics, acting on a nonlinear plant with strong input redundancy. In the HEV case the two redundant inputs are the ICE and EM torques and the two actuators with different dynamics are the two propulsion systems

Finite time stability design via feedback linearization

A new nonlinear design technique for Finite-Time Stability for a class of nonlinear systems is developed using feedback linearization. Moreover, a new concept, namely the Finite-Time Contractive Stability with fixed settling time is introduced, giving sufficient conditions for analysis and design. An example illustrates the theoretical results

A control theory approach on the design of a Marx generator network

A Marx generator is a well-known type of electrical circuit first described by Erwin Otto Marx in 1924. It has been utilized in numerous applications in pulsed power with resistive or capacitive loads. To-date the vast majority of research on Marx generators designed to drive capacitive loads relied on experimentation and circuit-level modeling to guide their designs. In this paper we describe how the problem of designing a Marx generator to drive a capacitive load is reduced to that of choosing a diagonal gain matrix F that places the eigenvalues of the closed-loop matrix A+BF at specific locations. Here A is the identity matrix and B characterizes the elements of the Marx generator and depends on the number of stages N. Due to the special structure of matrix F, this formulation is a well-known problem in the area of feedback control and is referred to as the structured static state feedback problem. While the problem is difficult to solve in general, due to the specific structures of matrices A and B, various efficient numerical algorithms exist to find solutions in specific cases. In a companion paper by Buchenauer it is shown that if certain conditions hold, then setting the natural frequencies of the circuit to be harmonically related guarantees that all the energy is delivered to the load capacitor after a suitable delay. A theorem formalizing this result is presented. Earlier aspects of this research have been published in two theses

Event-triggered transmission for linear control over communication channels

We consider an exponentially stable closed loop interconnection of a continuous linear plant and a continuous linear controller, and we study the problem of interconnecting the plant output to the controller input through a digital channel. We propose a family of "transmission-lazy" sensors whose goal is to transmit the measured plant output information as little as possible while preserving closed-loop stability. In particular, we propose two transmission policies, providing conditions on the transmission parameters. These guarantee global asymptotic stability when the plant state is available or when an estimate of the state is available (provided by a classical continuous linear observer). Moreover, under a specific condition, they guarantee global exponential stabilit