Evaluation of the LMI-Based Multivariable PID Controller Design for Turbo Aeroengines

2010 ◽  
Author(s):  
Ai He ◽  
Daoliang Tan ◽  
Xi Wang ◽  
Lei Wang
Keyword(s):  
Gas Turbine ◽  
Pid Controller ◽  
Controller Design ◽  
Pole Placement ◽  
Linear Matrix ◽  
Single Input Single Output ◽  
Turbine Engine ◽  
Single Output ◽  
Pid Controller Design ◽  
Single Input

A variety of PID control tuning rules have been proposed for single-input single-output systems, but there is still a lack of research on PID controller design for multi-input multi-output systems. The objective in this paper is to gain some insight into multi-variable PID controller design for gas turbine engines. First of all, we present an approach to design multi-variable PID controllers based on the pole placement technique in the framework of linear matrix inequalities. Then this paper makes a comparison of four multi-variable PID controller design methods including pole-placement, iterative LMI approach, cone complementarity, and sufficient LMI condition. In terms of numerical computation, control performance, and anti-disturbance, we make an attempt to evaluate their performance and give some guidelines to gas turbine engine control. Experimental results illustrate that the pole-placement and iterative LMI methods are slightly superior to others due to their robust performance and their ease of solution and implementation.

Multivariable Aeroengine PID Control With Amplitude Saturation: An LMI Solution

2010 ◽  
Author(s):  
Daoliang Tan ◽  
Ai He ◽  
Xi Wang ◽  
Yun Liu
Keyword(s):  
Gas Turbine ◽  
Output Feedback ◽  
Pid Controller ◽  
Controller Design ◽  
Gas Turbine Engine ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Engine Control ◽  
Turbine Engine ◽  
Static Output

This paper presents an approach to automatic tuning of the parameters of a PID controller for the multivariable gas turbine engine control, taking into account amplitude saturation and model nonstrict-properness. First of all, we illustrate that the PID controller design problem can be transformed into seeking a static output feedback controller for some augmented state-space model. Then we compute an initial stabilizable parameters of the involved PID controller in the strictly proper case, using a well-known static output feedback algorithm. As far as a non-strictly proper model is concerned, this paper uses a degenerate linear transformation to change its output equation into a strictly proper form. The drawback of the initially computed PID controller lies in its high gains (triggering amplitude saturation) that prevent it from being applicable to practical gas turbine engine control. In this paper, we build on a linear matrix inequality (LMI) based antiwindup scheme to address the constraints from amplitude saturation. Both of these problems are formulated in the LMI framework and can be efficiently solved using off-the-shelf software. Experimental results show the promising performance of the proposed method.

scholarly journals Comparative study of zero effects in pole-placement control system design via the shift and delta transforms

2005 ◽  
Vol 18 (3) ◽  
pp. 439-451
Author(s):  
Milica Naumovic
Keyword(s):  
Control System ◽  
System Design ◽  
Pole Placement ◽  
Control System Design ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Pole Placement Control ◽  
Time Systems

This paper deals with the special replacement of the shift operator and its associated z transform by delta operator and ? transform, respectively. The aim of the paper is to clarify the role of zeros of discretized linear single input single output continuous-time systems modeled by shift and delta operators. In particular, the effect of zero dynamics on the control system design based on classical pole-zero assignment in the case of both operators is considered. The analysis is illustrated by simulation results.

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 Research of Conventional and Observer Based Controller for Three Tank Interacting System

2019 ◽  
Vol 8 (6S4) ◽  
pp. 1527-1531
Keyword(s):  
Pid Controller ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Control Law ◽  
Feed Forward ◽  
Single Input Single Output ◽  
Single Output ◽  
Control Scheme ◽  
Single Input ◽  
Forward Gain

In many Industries, the fault tolerant control scheme have been accepted and used from many decades. In this paper, the observer and the observer based Controller is designed for the three tank interacting system. Initially in this work, the three tank interacting system with Single Input Single Output configuration is modeled and conventional PID controller has been implemented, finally the performances are analyzed. Then the observer is designed for the three tank interacting system. Inorder to design the observer based controller, the control law and the feed forward gain value is calculated and described by Chakrabarti A et al.[4]. Finally the observer based controller performances are also analyzed. In this work, the sensor is replaced by the state observer. The observer based controller provides better performance than the conventional PID controller. This work may lead to design fault tolerant control for three tank interacting system in future.

A Decentralized Controller for the Robust Stabilization of a Class of MIMO Dynamical Systems

1994 ◽  
Vol 116 (2) ◽  
pp. 293-304 ◽  
Author(s):  
A. Tornambe` ◽  
P. Valigi
Keyword(s):  
Dynamical Systems ◽  
Pid Controller ◽  
Robust Stabilization ◽  
Robotic Systems ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input ◽  
Mimo Dynamical Systems

This work deals with the problem of the robust stabilization of a class of multi-input multi-output (MIMO) dynamical systems. A simple decentralized controller is proposed, which reduces to the classical PID controller in case of single-input single-output dynamical systems. Such a controller includes integral actions for the compensation of the entire dynamics of the system. The paper is completed with an application to robotic systems.

Indirect Adaptive Fuzzy H∞ Tracking Control with Self-Structuring Algorithm for a Class of Uncertain Nonlinear SISO Systems

2013 ◽  
Vol 756-759 ◽  
pp. 622-626
Author(s):  
Sen Xu ◽  
Zhang Quan Wang ◽  
You Rong Chen ◽  
Ban Teng Liu ◽  
Lu Yao Xu
Keyword(s):  
Fuzzy Controller ◽  
Controller Design ◽  
Pendulum System ◽  
Single Input Single Output ◽  
Adaptive Fuzzy ◽  
Single Output ◽  
Inverted Pendulum System ◽  
Single Input ◽  
Indirect Adaptive Fuzzy Controller ◽  
Siso Systems

Indirect adaptive fuzzy controller with a self-structuring algorithm is proposed in this paper to achieve tracking performance for a class of uncertain nonlinear single-input single-output (SISO) systems with external disturbances. Selecting membership functions and the fuzzy rules are difficult in fuzzy controller design. As a result, self-structuring algorithm is used in this paper, which simplifies the design of fuzzy controller. Lyapunov analysis is used to prove asymptotic stability of the proposed approach. Application of the proposed control scheme to a second-order inverted pendulum system demonstrates the effectiveness of the proposed approach.

scholarly journals Modified approach to distillation column control

2017 ◽  
Vol 71 (3) ◽  
pp. 183-193
Author(s):  
Sasa Prodanovic ◽  
Novak Nedic ◽  
Vojislav Filipovic ◽  
Ljubisa Dubonjic
Keyword(s):  
Distillation Column ◽  
Controller Design ◽  
Industrial Plant ◽  
Control Analysis ◽  
Centralized Control ◽  
Single Input Single Output ◽  
Response Characteristics ◽  
Single Output ◽  
Single Input ◽  
Integral Error

This paper contains methodology research for forming the control algorithm for a distillation column, modeled as TITO (two-input two-output) process. Its modified form was obtained by connecting the two parts, and this combination hasn't been applied for such a industrial plant, until now. These parts include: a simplified decoupler which was first designed and decentralized PID controller obtained using D-decomposition method for such decoupled process. The decoupler was designed in order to make process become diagonal, and parameters of PID controllers are defined for the two SISO (single-input single-output) processes starting from relation between IE (integral error) criterion and integrator gain, taking into account desired response characteristics deriving from technological requirements of controlled plant. Their connecting provides centralized control. Analysis of the processes responses, obtained by the proposed algorithm and their comparison with the results from the literature, were performed after the completion of the simulations. The proposed approach to the centralized controller design, beside its simplicity of usage and flexibility in achieving diversity of process dynamic behavior, gives better response characteristics, in comparison with existing control algorithms for distillation column in the literature.

scholarly journals Robust PID Controller design using Fuzzy Pole Placement Techniques

2016 ◽  
Vol 49 (1) ◽  
pp. 789-794
Author(s):  
Abhishek Dey ◽  
Ramakalyan Ayyagari
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Pole Placement ◽  
Pid Controller Design
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