Inversion-based feedforward and reference signal design for fractional constrained control systems

• Published in: Automatica (Oxford) Vol. 50; no. 8; pp. 2169 - 2178
• Main Authors: Padula, Fabrizio, Visioli, Antonio
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.08.2014; Elsevier
• Subjects: Applied sciences; Computer science; control theory; systems; Constrained control; Control system synthesis; Control theory. Systems; Exact sciences and technology; Feedforward control; Fractional systems; Input–output inversion; Optimization; Process control. Computer integrated manufacturing; Set-point regulation; Feedforward control; Set-point regulation; Input–output inversion; Fractional systems; Constrained control; Optimization; Set point; Process control; Control synthesis; Input-output inversion; Inversion; Steady state; Fractional derivative; Constrained optimization; Control constraint; Minimum time; Transition state; Open loop; Feedforward
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2014.06.007

In this paper we propose a solution for the synthesis of a feedforward control action for a fractional control system. In particular, an input–output inversion based methodology is devised in order to determine the open-loop signal that provides a predefined process variable transition from a steady-state value to another. The transition time is then minimized subject to constraints on the process and control variables and their derivatives. Simulation results show the effectiveness of the technique.