Giovanni Dongola

Fractional order systems : modeling and control applications

Fractional Order Systems Fractional Order PID Controller Chaotic Fractional Order Systems Field Programmable Gate Array, Microcontroller and Field Programmable Analog Array Implementation Switched Capacitor and Integrated Circuit Design Modeling of Ionic Polymeric Metal Composite

Power consumption reduction in a remote controlled street lighting system

In this paper a remote control equipment for monitoring and managing a street lighting system is presented. It is composed by a local control, realized by master boards located inside electrical panels and slave boards mounted on each lamppost, and by a remote control realized by a central unit for the remote communication with the local control system. The communication between master and slave boards is realized using power line modems, while the remote control central unit is connected to master boards via a GPRS-GSM communication. Master board allows to choice the electrical phase for the power line communication and to send the control commands to the slave boards on each lamppost. Slave boards allow to turn on/off the lamppost, to reduce power consumption using a device developed by ALBATROS Italia S.r.L., and to detect the lamp status, checking the current flow on the lamp itself.

A Fractional Model for IPMC Actuators

The paper proposes a new model for IPMC actuators, based on non-integer order models. IPMCs are very interesting because of their capability to transform electrical energy into mechanical energy and vice-versa, making them particularly attractive for possible applications in different fields, such as robotics, aerospace, biomedicine, etc. A great interest has been devoted to non-integer, or fractional, order systems because they well model a lot of physical systems. An experimental setup has been realized to study the IPMCs behavior and an algorithm has been developed in Matlab Environment to identify a fractional order model of IPMC actuators.

Integrated technology fractional order proportional-integral-derivative design:

In this paper an integrated circuit (IC) design of the fractional order proportional-integral-derivative (PID) controller is proposed. The development of the IC device is realized in Cadence environment, using the switched capacitors (SC) technology in order to reduce the area on the silicon wafer and to improve the electrical controllability. In order to obtain transfer functions that describe the fractional order of the differ-integral operator it is necessary to use interpolation methods, in particular, the choice in this work has fallen on the Oustaloup interpolation. This procedure is aimed at implementing a series of pole-zero blocks that approximate the non-integer order. The realized approach is able to guarantee a good approximation of the fractional order PID and simultaneously propose a detailed circuit analysis of the influence of the non-idealities, in particular the phenomenon of warping. This takes into account the distortion introduced by the s-domain to the z-domain transition, acting on the positions of poles and zeros, especially those at a higher frequency. Time and frequency domain result tests confirm the feasibility and reliability of the SC implementation.

Auto-Tuning and Fractional Order Controller Implementation on Hardware in the Loop System

The paper deals with the design of an auto-tuning fractional order proportional-integrative-derivative controllers and its implementation on hardware in the loop simulator for the real-time control of unknown plants. The proposed procedure can be applied to systems with delay and order greater than one, once specifications on cross-over frequency and phase margin are given. The auto-tuning procedure consists of two phases: the first one dedicated to the identification of the process at the desired cross-over frequency and the second one to determine all the parameters of the fractional order proportional-integrative-derivative controllers. The obtained controller ensures an iso-damping response of the plant. Experimental results are given to confirm the effectiveness of the proposed approach and show that the requirements are totally met for the system to be controlled.

A numerical approach for computing stability region of FO-PID controller

Abstract The paper proposes a new procedure which allows to define the parameters of a Fractional Order Proportional Integrative Derivative (FO-PID) controller that stabilizes a first-order plant with time-delay. The stabilizing FO-PID parameters complete set has been determined by the application of the Hermite–Biehler theorem to fractional order systems. The proposed procedure has been verified by computer simulations that confirm the effectiveness of the approach. The diffused PID controller industrial use and the verified capability of their non-integer order form justifies the timely FO-PID controller interest.

Field Programmable Analog Array Implementation of Noninteger Order PIλDμ Controller

Recently, a renewed interest has been devoted to noninteger, or fractional, order systems. This is due to the fact that they well model a lot of physical systems and can be usefully applied in the area of automatic control. On drawback, mainly faced in the area of control systems, is related to their practical realization, essentially due to their infinite dimension nature. In this paper, an analog implementation of a noninteger order PIλDμ controller by using field programmable analog array is proposed. The frequency analysis of the reported examples shows the feasibility and reliability of the proposed approach.

FRACTIONAL INTEGRATIVE OPERATOR AND ITS FPGA IMPLEMENTATION

In this paper the fractional order integrative operator s−m , where m is a real positive number, is approximated via a mathematical formula and then an hardware implementation of fractional integral operator is proposed using Field Programmable Gate Array (FPGA). Digital hardware implementation of fractional-order integral operator requires careful consideration of issue of system performance, hardware cost, and hardware speed. FPGA-based implementation are up to one hundred times faster than implementations based on micro-processors; this extra speed can be exploited to allow higher performance in terms of digital approximations of fractional-order systems.Copyright

IPMC Actuators Non Integer Order Models

In this chapter a new model for Ionic Polymer Metal Composites (IPMC) actuators, based on non-integer order models is proposed. IPMCs are very interesting polymer because of their capability to transform electrical energy into mechanical energy and vice-versa, making them particularly attractive for possible applications in different fields, such as robotics, aerospace, biomedicine, etc. An experimental setup has been realized to study the IPMCs behavior and an algorithm has been developed in Matlab environment in order to identify a fractional order model of IPMC actuators.

Non Integer Order Operators Implementation via Switched CapacitorsTechnology

In this chapter a Switched Capacitors (SC) implementation of fractional differintegral operator is proposed. Time and frequency domain result tests validate the feasibility and reliability of the SC circuit implementation. A detailed analysis of the influence of the non-idealities is proposed in order to obtain a design ready for Integrated Circuit (IC) implementation. The proposed approach may guarantee a good degree of approximation of fractional differintegral operator and therefore the possibility to realize PI λ D μ controller IC based on switched capacitors technology.