Algebraic Methods for Multiobjective Optimal Design of Control Feedbacks for Linear Systems

被引:13
|
作者
Menini, Laura [1 ]
Possieri, Corrado [1 ]
Tornambe, Antonio [1 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Ingn Civile & Ingn Informat, I-00133 Rome, Italy
关键词
Control system synthesis; linear feedback control systems; pareto optimization; OPTIMIZATION; OBJECTIVES; CRITERIA;
D O I
10.1109/TAC.2018.2800784
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents three novel methods for the multiobjective 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, nonconvex) classical benchmark problems and to physical plants are given throughout the paper.
引用
收藏
页码:4188 / 4203
页数:16
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