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Automated synthesis of multivariable QFT controller using interval constraint satisfaction technique

DSpace at IIT Bombay

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Title Automated synthesis of multivariable QFT controller using interval constraint satisfaction technique
 
Creator PATIL, MD
NATARAJ, PSV
 
Subject QFT
Robust control
PID Controller
Magnetic Levitation system
ICSP
MIMO
NONDIAGONAL CONTROLLERS
DESIGN
UNCERTAINTY
ALGORITHM
SYSTEMS
 
Description Robust controller synthesis of Multi-Input-Multi-Output(MIMO) systems is of great practical interest and their automation is a key concern in control system design. The synthesis problem consists of obtaining a controller that ensures stability and meets a given set of performance specifications, in spite of the disturbance and model uncertainties. In addition to perform the above tasks, a MIMO controller also has to perform the difficult task of minimizing the interaction between the various control loops. Unlike existing manual or convex optimization based Quantitative Feedback Theory (QFF) design approaches, the proposed method gives a controller which meets all performance requirements in QFT, without going through the conservative and sequential design stages for each of the multivariable subsystems. In this paper, a new, simple, and reliable automated MIMO QFT controllers design methodology is proposed. A fixed structure MIMO QFT controller has been synthesized by solving QFT quadratic inequalities of robust stability and tracking specifications. The quadratic inequalities (constraints) are posed as Interval Constraint Satisfaction Problem (ICSP). The constraints are solved by constraint solver - RealPaver. The main feature of this method is that the algorithm finds all the solutions to within the user-specified accuracy. The designed MIMO QFT controllers are tested on the experimental setup designed by Educational Control Product (ECP) Magnetic Levitation Setup ECP 730. From the experimental results presented, it is observed that, the designed controller satisfies the desired performance specifications. It is also observed that, the interactions between the loops are within the specified limits. The robustness of the designed controllers are verified by putting extra weights on the magnets. (C) 2012 Elsevier Ltd. All rights reserved.
 
Publisher ELSEVIER SCI LTD
 
Date 2014-10-15T13:16:20Z
2014-10-15T13:16:20Z
2012
 
Type Article
 
Identifier JOURNAL OF PROCESS CONTROL, 22(4)751-765
http://dx.doi.org/10.1016/j.jprocont.2012.02.006
http://dspace.library.iitb.ac.in/jspui/handle/100/14981
 
Language en