DISTURBANCE REJECTION FOPID CONTROL OF ROTOR BY MULTI-OBJECTIVE
BB-BC OPTIMIZATION ALGORITHM
Abdullah Ates
Inonu University, Computer Engineering
Department
Malatya, Turkey
Baris Baykant Alagoz
Inonu University, Computer Engineering
Department
Malatya, Turkey
Celaleddin Yeroglu
Inonu University, Computer
Engineering Department
Malatya, Turkey
Jie Yuan
Southeast University, College of
Automation
Nanjing, China
YangQuan Chen
University of California Merced,
Mechatronics, Embedded
Systems and Automation Lab.
Merced, CA, USA
ABSTRACT
This paper presents a FOPID tuning method for disturbance
reject control by using multi-objective BB-BC optimization
algorithm. Proposed method allows multi-objective
optimization of set-point performance and disturbance rejection
performances of FOPID control system. The objective function
to be minimized is composed of the weighted sum of MSE for
set-point performance and RDR for disturbance rejection
improvement. The proposed optimization performs
maximization of RDR and minimization of MSE and it can deal
with the tradeoff between RDR performance and step-point
performance. Application of the method is shown for auto-
tuning of FOPID controller that is employed for control of
TRMS model. We observed that low-frequency RDR indices
can be used to improve disturbance rejection performance in
multi-objective controller tuning problems. Particularly, for
flight control application, disturbance reject control is very
substantial to robust performance of propulsion systems.
INTRODUCTION
FOPID controllers have been suggested by Podlubny in 1999
[1] by substituting integer order derivative and integrator of
classical PID with fractional one. These modification lead to
two additional order parameters
and and these
modification can improve frequency response of classical PID
controller, which allows to obtain better control performance
and better stability compared to PID controllers [2].
Nowadays, FOPID controller begins to find
application in practice applications due to its advantages to
classical PID controller, which has turned into a standard for
industrial controller class [3]. Many study reported that FOPID
controller provides better control performance and stability
compared to PID controllers [4]. Due to increasing practical
utilization of FOPID controllers, tuning of FOPID control
system to obtain a desired control response for specific control
mission is becoming more important and many methods have
been developed to address the FOPID controller tuning problem
[5]. These methods can be mainly classified in two groups,
which are methods based on analytical optimization methods
[6] and methods based on heuristic methods [7]. Due to high
computational complexity of fractional order control system,
heuristic optimization methods presents advantages of set and
trail search methodology. However, efforts to improve
performance of heuristic optimization methods, particularly for
controller tuning problems, are needed and increasing. Many
methods was suggested or modified to obtain desired control
performance such as; SMDO method [8], Tabu search based
optimization algorithm [9], Fruit Fly Optimization algorithm
[10], Cuckoo search algorithm [11], Adaptive Particle Swarm
Optimization algorithm [12] .
Another advantage of employment for heuristic optimization
methods in control application is that they allow multi-objective
optimization. Control tuning problem is indeed resolving
tradeoff between many objectives such as low overshoots, fast
settling, disturbance rejection, robust stability etc. Considering
these objectives in controller tuning allows to obtain a good
controller responding to many application constraints.
Performance of the optimization process has been increased by
combining many objective functions based on average errors
(MSE, ITAE, ISE, IAE), rising time, settling time, steady state
Proceedings of the ASME 2017 International Design Engineering Technical Conferences and
Computers and Information in Engineering Conference
IDETC/CIE 2017
August 6-9, 2017, Cleveland, Ohio, USA
DETC2017-67283
1 Copyright © 2017 ASME
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