Observer-based controller for floor vibration control with optimization algorithms

2016 ◽  
Vol 23 (3) ◽  
pp. 345-360 ◽  
Author(s):  
Donald S Nyawako ◽  
Paul Reynolds
Keyword(s):  
Vibration Suppression ◽  
Controller Design ◽  
Experimental Studies ◽  
Optimal Solution ◽  
Pi Controller ◽  
Pole Placement ◽  
Algorithm Optimization ◽  
Single Input Single Output ◽  
Reduced Order ◽  
Output Controller

This study presents the results of vibration suppression of a walkway bridge structure with a single actuator and sensor pair by using a proportional-integral (PI) controller and observer-based pole-placement controllers. From the results of experimental modal analysis, reduced-order models of the walkway are identified. These are used for the design of a PI controller as well as for state estimation procedures that are necessary for the development of reduced-order observer controllers. The respective orders of the latter are dependent on the number of plant modes used for their designs. They are formulated from plant and observer feedback gains that are obtained from the specification of desired floor closed-loop eigenvalues and observer eigenvalues. There are numerous solutions possible with the observer-based controller design procedures whereas the PI controller defaults to a particular solution. There is also the flexibility for isolation and control of target vibration modes with the observer-based controllers for higher controller orders from a purely single-input single-output controller scheme as demonstrated in the analytical and experimental studies presented. Further, in this work, a design space of potential feedback gains is specified, where only a single plant mode has been used for the observer-based controller design process, and a multi-objective genetic algorithm optimization scheme is used to search for an optimal solution within some pre-defined constraint conditions. The best solution here is regarded as one that offers the greatest vibration mitigation performance amongst the solutions identified.

scholarly journals A Review on Eigenstructure Assignment Methods and Orthogonal Eigenstructure Control of Structural Vibrations

2009 ◽  
Vol 16 (6) ◽  
pp. 555-564 ◽  
Author(s):  
Mohammad Rastgaar ◽  
Mehdi Ahmadian ◽  
Steve Southward
Keyword(s):  
Vibration Suppression ◽  
Controller Design ◽  
Pole Placement ◽  
Structural Vibration ◽  
Eigenstructure Assignment ◽  
Large Space ◽  
Mode Localization ◽  
The Past ◽  
Recent Developments ◽  
Design Freedom

This paper provides a state-of-the-art review of eigenstructure assignment methods for vibration cancellation. Eigenstructure assignment techniques have been widely used during the past three decades for vibration suppression in structures, especially in large space structures. These methods work similar to mode localization in which global vibrations are managed such that they remain localized within the structure. Such localization would help reducing vibrations more effectively than other methods of vibration cancellation, by virtue of confining the vibrations close to the source of disturbance. The common objective of different methods of eigenstructure assignment is to provide controller design freedom beyond pole placement, and define appropriate shapes for the eigenvectors of the systems. These methods; however, offer a large and complex design space of options that can often overwhelm the control designer. Recent developments in orthogonal eigenstructure control offers a significant simplification of the design task while allowing some experience-based design freedom. The majority of the papers from the past three decades in structural vibration cancellation using eigenstructure assignment methods are reviewed, along with recent studies that introduce new developments in eigenstructure assignment techniques.

Cross term constructed Lyapunov function based two-time scale controller design and vibration suppression for a rotating hub-beam system

2019 ◽  
Vol 42 (3) ◽  
pp. 551-564
Author(s):  
Ghasem Khajepour ◽  
Ramin Vatankhah ◽  
Mohammad Eghtesad ◽  
Mohsen Vakilzadeh
Keyword(s):  
Lyapunov Function ◽  
Vibration Suppression ◽  
Controller Design ◽  
Equations Of Motion ◽  
Angular Position ◽  
Pole Placement ◽  
Cross Term ◽  
Modeling And Control ◽  
Beam System ◽  
Flexible Arm

In this article, modeling and control of a rotating hub-beam system are studied. The system consists of a solid rotating cylinder and an attached flexible arm with a payload at the end. The rotation is supposed to be in the presence of gravity and the flexible arm is assumed to be a Euler-Bernoulli beam. To derive the equations of motion of the system, Lagrange’s method is applied. Moreover, Galerkin’s technique is employed to discretize the equations of motion. Furthermore, designing an appropriate two-time (slow and fast) scale controller in the presence of uncertainties is considered in order to track the desired hub angular position and suppress vibrations of the arm simultaneously. For the so-called slow subsystem, a novel controller design is proposed as two different cases, with and without the presence of uncertainties in system dynamics are considered; and accordingly, a control law for tracking the desired path is introduced based on the idea of using the cross-term constructed Lyapunov function. For the fast subsystem, a pole placement technique is used to suppress vibration of the beam. The simulation results indicate notable effectiveness of the proposed controller.

scholarly journals Permanent magnet DC motor (PMDC) model identification and controller design

2019 ◽  
Vol 70 (4) ◽  
pp. 303-309
Author(s):  
Ahmed Alkamachi
Keyword(s):  
Mean Squared Error ◽  
Controller Design ◽  
System Modeling ◽  
Dynamical Behavior ◽  
Pi Controller ◽  
Least Square ◽  
Pole Placement ◽  
Step Response ◽  
Primary Concern ◽  
Recursive Least Square

Abstract System modeling is a set of mathematical equations that describe the dynamical behavior of a system. It is considered as a primary concern in determining a suitable controller to meet specific requirements. An autoregressive with exogenous terms (ARX) model for a PMDC motor is identified experimentally based on the recursive least square (RLS) method. Adaptive discrete pole placement controller (APPC) is proposed and designed aiming to control the motor revolving speed. For the comparison purpose, a discrete Proportional Integral (PI) controller is also considered in this work. The steady step response, transient response, and the mean squared error (MSE) is counted throughout the comparison. The e ect of the uncertainties in the PMDC model is also investigated in this paper. The result shows a superiority in the performance of the proposed controller compared to that obtained using PI controller.

scholarly journals Robust Decentralized PI Controller Design Based on Subsystem Pole Placement

2013 ◽  
Vol 46 (13) ◽  
pp. 260-265
Author(s):  
I. Holič ◽  
D. Rosinová ◽  
V. Veselý
Keyword(s):  
Controller Design ◽  
Pi Controller ◽  
Pole Placement

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.

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.

Sign in / Sign up

Export Citation Format

Share Document