*G. Lloyds Raja, Ahmad Ali
Department of Electrical Engineering,
Indian Institute of Technology Patna, India
*lloyd.raja@gmail.com, ali@iitp.ac.in
Series Cascade Control: An Outline Survey
Abstract— Series cascade control structure (SCCS) is widely
used in process industries as unity feedback configuration fails
to reject the load disturbances before the controlled variable
deviates from the setpoint. Several variants of the conventional
SCCSs have been reported in the literature to obtain improved
closed-loop performance as compared to the conventional
structure. For processes with large time delay, cascade control
may not yield satisfactory closed-loop performance. To
overcome this problem, several modified Smith predictor
based SCCS have been reported in the literature. In this
manuscript, various series cascade control strategies are
briefly reviewed and their advantages and disadvantages are
discussed. Suitable tuning strategies for a class of stable,
unstable and integrating process models are recommended in
order to help the user in selecting the appropriate control
strategy. This review covers only model-based series cascade
control strategies in which controller parameters are expressed
in terms of known process model parameters.
Keywords— Series cascade control structure; Smith predictor;
closed-loop performance; direct synthesis; IMC.
I. INTRODUCTION
In conventional unity feedback schemes, the rejection of
disturbances does not happen until the controlled variable
deviates from the setpoint. This motivated the control
engineers to use series cascade control structure (SCCS) in
which an intermediate sensor and controller are used to
reject the disturbances before they affect the controlled
variable. The general block diagram of SCCS is shown in
Figure 1.
1
and
2
are the transfer functions of primary
and secondary process models whereas
1
and
2
represent the primary and secondary controllers,
respectively. ‘u
2
’ denotes the output of the secondary
controller. Output of the secondary loop is denoted by y
2
whereas y
1
denotes the output of the primary loop. d
1
and d
2
are the disturbances entering the input and output of the
secondary process models. Setpoint of primary loop is
represented by r
1
and output of the primary controller serves
as the set-point (r
2
) for the secondary loop. Cascade control
is more effective when the secondary loop is faster than the
primary loop and major disturbances enter the secondary
loop. Temperature control of natural draft furnace [1] is a
well-known practical scenario where SCCS is used.
Franks and Worley [2] have used SCCS in a chemical
reactor and reported improved closed-loop performance as
compared to unity feedback configuration. Integral time
absolute error (ITAE) performance measure was used to
quantify the improvement achieved by cascade control.
McMillan [3] has reported that improved closed-loop
performance is achieved by SCCS for stable, unstable and
integrating process models. The criterion for conditional
stability was derived by Yu et al. [4]. Krishnaswamy et al.
[5] have used the PI and P controllers in the primary and
secondary loops. Furthermore, the authors have reported
that the SCCS yields improved regulatory performance for
stable first order plus time delay (FOPTD) process models
when disturbances enter the secondary loop at d
1
.
r1
y1
d1 d2
-
Gp2 Gp1
r2 y2
-
Gc2 Gc1
Secondary loop
Primary loop
u2
e(t)
Figure 1. Conventional series cascade control structure
Conventional SCCS consists of two controllers and two
nested loops as shown in Figure 1. The tuning strategies
reported in [2-24] have used conventional SCCS or its
variants to control stable, integrating and unstable process
models. If a long time delay exists in the primary loop,
cascade control scheme fails to yield satisfactory closed-
loop performance. By incorporating Smith predictor in the
primary loop of SCCS, several modified structures have
been reported till date for stable, integrating and unstable
[25-37] process models. In process industries, the dynamics
of secondary process is usually stable whereas that of the
primary process may be stable, unstable or integrating in
nature [25-37].
In this manuscript, an attempt has been made to briefly
review the various series cascade control structures for
stable, unstable and integrating process models. Moreover,
the advantages and limitations of various series cascade
control strategies are discussed. After carefully analyzing
the simulation studies given in literature, suitable control
strategies are recommended for a class of process models.
The paper is organized as follows: Conventional SCCS and
its variants for stable, unstable and integrating process
models with small time delay are discussed in section-II.
Modified Smith predictor based cascade control strategies
for stable, integrating and unstable process models with
large time delay are discussed in section-III. Section-IV
presents the criteria for choosing an appropriate control
strategy for a particular process model. Concluding remarks
are given in section-V.
II. SCCS AND ITS VARIANTS
A. For stable process models
Majority of the tuning strategies reported in literature have
considered the following first order plus time delay
2017 Indian Control Conference (ICC)
January 4-6, 2017. Indian Institute of Technology, Guwahati, India
978-1-5090-1795-9/16/$31.00 ©2017 IEEE 409