INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 3, ISSUE 9, SEPTEMBER 2014 ISSN 2277-8616
314
IJSTR©2014
www.ijstr.org
Tuning Of A PID With First-Order-Lag Controller
Used With A Highly Oscillating Second-Order
Process
Galal A. Hassaan
Abstract: High oscillation in industrial processes is something undesired and controller tuning has to solve this problems. PID with first-order-lag is a
controller type of the PID-family which is suggested to overcome this problem. This research work has proven that using the PID is capable of solving
the dynamic problems of highly oscillating processes but with less efficiency than other PID-based controller types. A second order process of 85.45 %
maximum overshoot and 8 seconds settling time is controlled using a PID controller with first-order-lag (through simulation). The controller is tuned by
minimizing the sum of square of error (ISE) of the control system using MATLAB. The MATLAB optimization toolbox is used assuming that the tuning
problem is an unconstrained one. The result was reducing the overshoot from 85.45 % to 15.9 % and decreasing the settling time from 8 seconds to
only 0.552 seconds. The performance of the control system using a PID with first-order-lag controller using the present tuning technique is compared
with that using the ITAE standard forms tuning technique
Index Terms Highly oscillating second-order process ; improving control system performance ; PID with first-order-lag controller, controller
tuning ; .
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1 INTRODUCTION
Highly oscillating response is present in a number of industrial
processes incorporating low damping levels. Conventionally,
the PID controller is used and tuned for better performance of
the control system. The PID with first-order-lag controller is
one of the next generation to PID controllers where research
and application is required to investigate its effectiveness
compared with PID controllers. Poulin , Pomerleau, Desbiens
and Hodouin (1996) described the design of an auto-tuning
and adaptive PID controller. The controller can control
processes with stable and unstable zeros, processes with
integrator and unstable processes [1]. Seraji (1998) introduced
a class of simple nonlinear PID-type controllers comprising a
sector-bounded nonlinear gain in cascade with a linear fixed-
gain P, PD, PI or PID controller [2]. Lelic (1999) extracted the
essence of the most recent development of PID control during
the 1990’s based on a survey of 333 papers published in
various journals [3]. Hamdan and Gao (2000) developed a
modified PID (MPID) controller to control and minimize the
hysteresis effect in pneumatic proportional valves. The
modified controller showed better command following and
disturbance rejection qualities than other types [4]. Skogestad
(2001) presented an analytical tuning rules as simple as
possible but resulting in a good closed-loop behavior. He
approximated the process by a first-order plus delay and used
a single tuning rule [5]. Podlubny, Petras, Vinagre, O’Leary
and Dorcak (2002) presented an approach for the design of
analog circuits implementing fractional-order controllers based
on the use of continued fraction expansions for the control of
very fast processes [6]. Araki and Taguchi (2003) surveyed the
important results about two degree of freedom PID controllers
including equivalent transformations,
the effect of 2DOF structure and relation to the preceded
derivative PID and the I-PD controllers [7]. Astrom and
Hagglund (2004) presented a design method used to
maximize the integral gain subject to a robust constraint giving
the best reduction of load disturbance . They revised tuning of
PID controllers in the spirit of Ziegler and Nichols technique
[8]. Su, Sun and Duan (2005) proposed an enhanced
nonlinear PID controller with improved performance than the
conventional linear fixed-gain PID controller. They
incorporated a sector-bounded nonlinear gain in cascade with
the conventional PID controller [9]. Killingsworth and Krstic
(2006) presented a method for optimizing the step response of
a closed-loop system consisting of a PID controller and an
unknown plant with a discrete version of extremum seeking by
minimizing a cost function quantifying the performance of the
PID controller [10]. Arvanitis, Pasgianos and Kalogeropoulos
(2007) investigated the control of unstable second order plus
dead-time process using PID-type controllers. They proposed
tuning rules based on the satisfaction of gain and phase
margin specifications [11]. Madady (2008) proposed a PID
type with iterative learning control update law to control
discrete-time SISO linear time-invariant systems performing
repetitive tasks. He proposed an optimal design method to
determine the PID parameters [12]. Coelho (2009) proposed a
tuning method to determine the parameters of PID control for
an automatic regulator voltage system using chaotic
optimization approach based on Lozi map [13]. Khare (2010)
developed an internal model mode based PID controller to
control the temperature of outlet fluid of the heat exchanger
system. His controller demonstrated 84 % improvement in
overshoot and 44 % improvement in settling time compared to
the classical controller [14]. Ntogramatzidis and Ferrante
(2011) introduced a range of techniques for the exact design of
PID controllers for feedback control problems involving
requirements on the steady-state performance and standard
frequency domain specifications. The control parameters had
to be calculated on-line meaning that their techniques appear
convenient with adaptive and self-tuning control strategies
[15]. Yu, Wilson, Currie and Young (2012) investigated the
performance of industrial PI and PID controllers in the
presence of sampling jitter showing that the derivative
component of the PID controller causes excessive controller
__________________________
Galal A. Hassaan
Emeritus Professor, Department of Mechanical Design
& Production, Faculty of Engineering, Cairo University,
Giza, EGYPT
galalhassaan@ymail.com