scholarly journals Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability

Algorithms ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 317
Author(s):  
Jagadish Kumar Bokam ◽  
Naresh Patnana ◽  
Tarun Varshney ◽  
Vinay Pratap Singh
Keyword(s):  
Controller Design ◽  
Performance Criteria ◽  
Approximation Technique ◽  
Test Case ◽  
Single Input Single Output ◽  
Reduced Order ◽  
Single Output ◽  
Sine Cosine Algorithm ◽  
Interval Systems ◽  
Order Continuous

The focus of present research endeavor was to design a robust fractional-order proportional-integral-derivative (FOPID) controller with specified phase margin (PM) and gain cross over frequency (ωgc) through the reduced-order model for continuous interval systems. Currently, this investigation is two-fold: In the first part, a modified Routh approximation technique along with the matching Markov parameters (MPs) and time moments (TMs) are utilized to derive a stable reduced-order continuous interval plant (ROCIP) for a stable high-order continuous interval plant (HOCIP). Whereas in the second part, the FOPID controller is designed for ROCIP by considering PM and ωgc as the performance criteria. The FOPID controller parameters are tuned based on the frequency domain specifications using an advanced sine-cosine algorithm (SCA). SCA algorithm is used due to being simple in implementation and effective in performance. The proposed SCA-based FOPID controller is found to be robust and efficient. Thus, the designed FOPID controller is applied to HOCIP. The proposed controller design technique is elaborated by considering a single-input-single-output (SISO) test case. Validity and efficacy of the proposed technique is established based on the simulation results obtained. In addition, the designed FOPID controller retains the desired PM and ωgc when implemented on HOCIP. Further, the results proved the eminence of the proposed technique by showing that the designed controller is working effectively for ROCIP and HOCIP.

Design and Realtime Implementation of an Adaptive Variation Absorber for Uncertain Mechanical Systems Subjected to Unknown Disturbances

2004 ◽  
Vol 10 (1) ◽  
pp. 55-84
Author(s):  
Raffi Derkhorenian ◽  
Nader Jalili ◽  
D M Dawson
Keyword(s):  
Degrees Of Freedom ◽  
Controller Design ◽  
Linear Time ◽  
Vibration Absorber ◽  
Primary System ◽  
Control Input ◽  
Adaptation Algorithm ◽  
Single Input Single Output ◽  
Linear Time Invariant ◽  
Single Output

In this paper we describe the design and implementation of a nonlinear adaptive disturbance rejection approach for single-input-single-output linear-time-invariant uncertain systems subject to sinusoidal disturbances with unknown amplitude and frequency. This is an extension of our earlier study to a more complicated plant, a two-degrees-of-freedom (2DOF) system representing a vibration absorber setting. The controller design is based on a single Lyapunov function incorporating both the error states and the update laws and, hence, global stability and improved transient performance are readily achieved. Utilizing only the system output, a virtual control input is used in place of non-measurable and unknown signals. The performance of the adaptation algorithm is demonstrated through real-time simulations, both for regulation and tracking, on a 2DOF system representing an active vibration absorber setup. It is shown that when the primary system is subjected to an unknown sinusoidal disturbance, the proposed controller in the absorber subsection completely suppresses the primary system vibration in the presence of unknown disturbance.

Utilization of Control Effort Constraints in Linear Controller Design

1989 ◽  
Vol 111 (3) ◽  
pp. 378-381 ◽  
Author(s):  
A. Galip Ulsoy
Keyword(s):  
Feedback Control ◽  
Controller Design ◽  
Design Procedure ◽  
Maximum Energy ◽  
Control Effort ◽  
Single Input Single Output ◽  
State Variable ◽  
Linear Controller ◽  
Single Output ◽  
Controlled Systems

A linear controller design procedure, which accounts for constraints on control effort, is developed by requiring that the control system utilize the maximum energy delivering capability of the final control elements under some specified test conditions (e.g., maximum step reference input). Results using this approach are available from previous studies for low-order single-input single-output controlled systems. This paper presents results for multi-input multi-output systems where the number of inputs is equal to the number of states. Both state variable feedback control for regulation, and integral plus state variable feedback control for tracking are considered and illustrated with an example problem.

scholarly journals A Gain-Scheduling PI Control Based on Neural Networks

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Stefania Tronci ◽  
Roberto Baratti
Keyword(s):  
Controller Design ◽  
Neural Model ◽  
Gain Scheduling ◽  
Generic Model ◽  
Continuous Stirred Tank Reactor ◽  
Single Input Single Output ◽  
Single Output ◽  
Model Control ◽  
On Line ◽  
Generic Model Control

This paper presents a gain-scheduling design technique that relies upon neural models to approximate plant behaviour. The controller design is based on generic model control (GMC) formalisms and linearization of the neural model of the process. As a result, a PI controller action is obtained, where the gain depends on the state of the system and is adapted instantaneously on-line. The algorithm is tested on a nonisothermal continuous stirred tank reactor (CSTR), considering both single-input single-output (SISO) and multi-input multi-output (MIMO) control problems. Simulation results show that the proposed controller provides satisfactory performance during set-point changes and disturbance rejection.

Robust Controller Design for Active Vibration Control

1993 ◽  
Author(s):  
S. Jagannathan ◽  
A. B. Palazzolo ◽  
A. F. Kascak ◽  
G. T. Montague
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Design Method ◽  
Active Vibration Control ◽  
Single Input Single Output ◽  
Background Theory ◽  
Single Output ◽  
Performance Specifications ◽  
Bearing Stiffness ◽  
Active Vibration

A novel frequency-domain technique, having its roots in Quantitative Feedback Theory (QFT), has been developed to design controllers for active vibration control (AVC). The advantages are a plant-based design according to performance specifications, and the ability to include structured uncertainties in the critical plant parameters like passive bearing stiffness or damping. In this paper, we describe the background theory of single-input, single-output (SISO) and multi-input, multi-output (MIMO) QFT design, followed by development of the theory adapted for AVC. Application examples are considered next, outlining the design method for both cases. Simulation results for the systems studied are presented showing the effectiveness of the technique in attenuating vibration.

Control of Exoskeletons Inspired by Fictitious Variable Gain in Human

2008 ◽  
Author(s):  
Kyoungchul Kong ◽  
Masayoshi Tomizuka
Keyword(s):  
Control System ◽  
Control Algorithm ◽  
Controller Design ◽  
Assistive Device ◽  
Single Input Single Output ◽  
Variable Gain ◽  
Single Output ◽  
Single Input ◽  
Parallel Control ◽  
The Brain

A human wearing an exoskeleton-type assistive device results in a parallel control system that includes two controllers: the human brain and a digital exoskeleton controller. Unknown and complicated characteristics of the brain dynamically interact with the exoskeleton controller which makes the controller design challenging. In this paper, the motion control system of a human is regarded as a feedback control loop that consists of a brain, muscles and the dynamics of the extended human body. The brain is modeled as a control algorithm amplified by a fictitious variable gain. The variable gain compensates for characteristic changes in the muscle and dynamics. If a human is physically impaired or subjected to demanding work, the exoskeleton should generate proper assistive forces, which is equivalent to increasing the variable gain. In this paper, a control algorithm that realizes the fictitious variable gain is designed and its performance and robustness are discussed for single-input single-output cases. The control algorithm is then verified by simulation results.

scholarly journals Design of Self-Tuning Minimum Effort Active Noise Control with Feedback Inclusion Architecture

2009 ◽  
Vol 28 (3) ◽  
pp. 205-215 ◽  
Author(s):  
R. K. Raja Ahmad ◽  
M. O. Tokhi
Keyword(s):  
Noise Control ◽  
Transfer Functions ◽  
Controller Design ◽  
Active Noise Control ◽  
The Self ◽  
Recursive Least Squares ◽  
Single Input Single Output ◽  
Single Output ◽  
Active Noise ◽  
Self Tuning

This paper presents the development of a self-tuning controller design of minimum effort active noise control (ANC) for feedforward single-input single-output (SISO) architecture which includes the feedback acoustic path in the controller formulation. The controller design law is derived for suitable self-tuning implementation and the self-tuning controller is evaluated in a realistically constructed ANC simulation environment. The self-tuning controller design involves a two-stage identification process where the controller is replaced by a switch. This switch is closed and opened in sequence generating two transfer functions which are then used in constructing the controller specified by a minimum effort control law. The implementation requires an estimate of the secondary path transfer function which can be identified either online or offline. The controller design and implementation are evaluated in terms of the level of cancellation at the observer through simulation studies for various values of modified effort weighting parameter in the range 0 ≤ γ ≤ 1. It was found that the optimal controller designed using this technique which is constrained only by the accuracy of the two models identified using recursive least squares algorithm, yields good cancellation level.

Controller Design For Nonlinear Systems Based on Simultaneous Stabilization Theory and Describing Function Models

1988 ◽  
Vol 110 (2) ◽  
pp. 134-142 ◽  
Author(s):  
A. Nassirharand ◽  
J. H. Taylor ◽  
K. N. Reid
Keyword(s):  
Position Control ◽  
Controller Design ◽  
Design Procedure ◽  
Describing Function ◽  
Simultaneous Stabilization ◽  
Single Input Single Output ◽  
Single Output ◽  
Highly Nonlinear ◽  
Sinusoidal Input ◽  
Function Models

A new systematic and algebraic linear control system design procedure for use with highly nonlinear plants is developed. This procedure is based on simultaneous stabilization theory and sinusoidal-input describing function models of the nonlinear plant, and is presently applicable to single-input single-output, time-invariant, deterministic, stable, and continuous-time systems which are representable in standard state-variable differential equation form. Three software utilities to implement the controller design procedure are also outlined. This method and the associated software is applied to a position control problem of the sort encountered in robotics, and the results are compared with those previously obtained using both linear and nonlinear PID control.

scholarly journals Multi loop Controller Design for Multivariable Processes Employing SISO PI Tuning Rules

2019 ◽  
Vol 8 (6S4) ◽  
pp. 347-351
Keyword(s):  
Controller Design ◽  
Industrial Applications ◽  
Single Input Single Output ◽  
Distillation Columns ◽  
Proportional Integral ◽  
Point Tracking ◽  
Single Output ◽  
Internal Model Controller ◽  
And Performance ◽  
Tuning Rules

Ability of the proportional integral (PI) and proportional integral derivative (PID) controllers in set point tracking and disturbance rejection has led to their wide usage in industrial applications. The desired controller performance can be achieved by application of suitable tuning rules. The presence of interacting loops in a process makes it a challenging task of PI controllers design in multivariable processes. This problem highly mitigated by employing simple single input single output internal model controller (IMC). This IMC PI controller values are applied for different distillation process involving distillation columns like Wardle and Wood (WW) , Wood and Berry (WB) and Vinate-Luyben (V-L). The obtained simulation with proposed method gives better results and performance indices values compared to other control tuning strategies.

Routh Approximation: An Approach of Model Order Reduction in SISO and MIMO Systems

2016 ◽  
Vol 2 (3) ◽  
pp. 486 ◽  
Author(s):  
D. K. Sambariya ◽  
Omveer Sharma
Keyword(s):  
Mimo Systems ◽  
Order Reduction ◽  
Reduced Order Model ◽  
Step Response ◽  
Order Model ◽  
Model Order ◽  
Single Input Single Output ◽  
Reduced Order ◽  
Single Output ◽  
Single Input

In this paper the Routh Approximation method is explored for getting the reduced order model of a higher order model. The reduced order modeling of a large system is necessary to ease the analysis of the system. The approach is examined and compared to single-input single-output (SISO) and multi-input multi-output (MIMO) systems. The response comparison is considered in terms of step response parameters and graphical comparisons. It is reported that the reduced order model using proposed Routh Approximation (RA) method is almost similar in behavior to that of with original systems.

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