This chapter proposes an approach to design fractional-order controllers for systems that are very common in applications. Namely, in many cases, simple models of the controlled systems are used. In particular, a first-order lag plus time delay system is a typically employed model. Then fractional-order controllers can be employed to improve the tradeoff between robustness and performance of the considered control loop. In particular, the controller structure is based on a noninteger-order integration that replaces the classical integer-order one in PI/PID controllers. In this way, control design can take advantage of the order of integration, which is a noninteger number, and develop relatively easy-to-use rules to set the other controller parameters. This chapter surveys a frequency-domain, loop-shaping design approach that allows to set the controller and meet desired robustness and performance specifications. The settings directly relate specifications to the parameters. Moreover, the design is completed by a realization procedure that easily determines the rational transfer function necessary to approximate the irrational compensator. The characteristics of the proposed realization technique is guaranteeing not only stability and minimumphase properties of the controller but also the interlacing between zeros and poles of the approximating function. The approach is tested on two case-study systems: a DCservomotor very useful in mechatronics and the injection system of a compressed natural gas engine developed in industry.

Fractional-order controllers for mechatronics and automotive applications / Lino, Paolo; Maione, Guido. - STAMPA. - 6:(2019), pp. 267-292. [10.1515/9783110571745-012]

Fractional-order controllers for mechatronics and automotive applications

Paolo Lino;Guido Maione
2019-01-01

Abstract

This chapter proposes an approach to design fractional-order controllers for systems that are very common in applications. Namely, in many cases, simple models of the controlled systems are used. In particular, a first-order lag plus time delay system is a typically employed model. Then fractional-order controllers can be employed to improve the tradeoff between robustness and performance of the considered control loop. In particular, the controller structure is based on a noninteger-order integration that replaces the classical integer-order one in PI/PID controllers. In this way, control design can take advantage of the order of integration, which is a noninteger number, and develop relatively easy-to-use rules to set the other controller parameters. This chapter surveys a frequency-domain, loop-shaping design approach that allows to set the controller and meet desired robustness and performance specifications. The settings directly relate specifications to the parameters. Moreover, the design is completed by a realization procedure that easily determines the rational transfer function necessary to approximate the irrational compensator. The characteristics of the proposed realization technique is guaranteeing not only stability and minimumphase properties of the controller but also the interlacing between zeros and poles of the approximating function. The approach is tested on two case-study systems: a DCservomotor very useful in mechatronics and the injection system of a compressed natural gas engine developed in industry.
2019
Handbook of fractional calculus with applications. Volume 6 : Applications in control
978-3-11-057090-8
De Gruyter
Fractional-order controllers for mechatronics and automotive applications / Lino, Paolo; Maione, Guido. - STAMPA. - 6:(2019), pp. 267-292. [10.1515/9783110571745-012]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/176498
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