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Design and assessment of variable‐structure LQG PID multivariable controllers
Author(s) -
Mousavi Hosein,
Nobakhti Amin
Publication year - 2016
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2276
Subject(s) - multivariable calculus , control theory (sociology) , pid controller , weighting , linear quadratic gaussian control , controller (irrigation) , optimal projection equations , control engineering , open loop controller , computer science , engineering , control (management) , artificial intelligence , closed loop , temperature control , medicine , agronomy , biology , radiology
Summary Control Performance Assessment (CPA) and tuning of PID controllers are studied in this paper. We propose a framework for systematic analysis of the tradeoff between the structural complexity of the controller and its performance. As the measure of the controller performance, an LQG based index is used. The problem is augmented with an additional term which forces sparsity on the complexity of a decentralized PID controller. The desired complexity is controlled via a weighting parameter which determines the cost of each additional element (i.e., P, I, and D terms). The result is a decentralized multivariable PID controller in which the complexity of each loop controller is optimized such that the desired LQG Performance Index is achieved with the lowest controller complexity. For larger multivariable systems, this will translate into a substantially reduced set of controller parameters. Copyright © 2016 John Wiley & Sons, Ltd.