This paper presents three novel methods for the multi-objective design of controllers with tunable parameters and fixed structure for linear systems. These techniques exploit the geometric properties of varieties and envelopes to obtain a closed-form expression of the set of candidate Pareto optimal values. The design objectives span from the regional pole placement to more general quadratic cost functionals, thus tackling a wide variety of control tasks. Examples of applications of the proposed techniques both to (possibly, non-convex) classical benchmark problems and to physical plants are given throughout the paper.

Menini, L., Possieri, C., & Tornambe, A. (2018). Algebraic Methods for Multi-Objective Optimal Design of Control Feedbacks for Linear Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 63(12), 4188-4203 [10.1109/TAC.2018.2800784].

Algebraic Methods for Multi-Objective Optimal Design of Control Feedbacks for Linear Systems

Menini, Laura;Possieri, Corrado;Tornambe, Antonio
2018

Abstract

This paper presents three novel methods for the multi-objective design of controllers with tunable parameters and fixed structure for linear systems. These techniques exploit the geometric properties of varieties and envelopes to obtain a closed-form expression of the set of candidate Pareto optimal values. The design objectives span from the regional pole placement to more general quadratic cost functionals, thus tackling a wide variety of control tasks. Examples of applications of the proposed techniques both to (possibly, non-convex) classical benchmark problems and to physical plants are given throughout the paper.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - Automatica
English
Control system synthesis; Linear feedback control systems; Pareto optimization; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic Engineering
Menini, L., Possieri, C., & Tornambe, A. (2018). Algebraic Methods for Multi-Objective Optimal Design of Control Feedbacks for Linear Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 63(12), 4188-4203 [10.1109/TAC.2018.2800784].
Menini, L; Possieri, C; Tornambe, A
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/193543
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