A New Approach for Designing Robust Controllers for the Servomechanism Problem

1997 ◽  
Vol 119 (2) ◽  
pp. 293-298 ◽  
Author(s):  
Salem A. K. Al-Assadi
Keyword(s):  
Disturbance Rejection ◽  
Simple Structure ◽  
Linear Time ◽  
New Approach ◽  
Linear Time Invariant ◽  
Multivariable Control Systems ◽  
Asymptotic Tracking ◽  
Dynamic Compensator ◽  
Dynamic Output Feedback Controller ◽  
Time Invariant

In this paper, we provide an alternative method for solving the more general servomechanism problem. The new approach based on designing a simple structure of a dynamic output feedback controller to achieve asymptotic tracking, disturbance rejection and pole assignment in linear time-invariant multivariable control systems. In addition, the resulting dynamic compensator is robust in the sense that asymptotic regulation take place for some or all disturbances and reference signals independent of any nondestabilizing perturbations in the system parameters. The main results of this paper are illustrated by an example.

Robust Tracking and Disturbance Rejection for Descriptor-Type Neutral Time-Delay Systems

2021 ◽  
Vol 20 ◽  
pp. 48-53
Author(s):  
Altug Iftar
Keyword(s):  
Time Delay ◽  
Disturbance Rejection ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Tracking ◽  
Linear Time Invariant ◽  
Asymptotic Tracking ◽  
Time Invariant

The problem of designing a controller to achieverobust stability and asymptotic tracking despite certain disturbancesis considered for linear time-invariant descriptortypeneutral time-delay systems. The necessary and sufficientconditions for the solvability of this problem are derived. Inthe case a solution exists, the structure of the controller whichsolves this problem is also presented.

Computing Impulse Response of Room Acoustics Using the Ray-Tracing Method in Time Domain

2010 ◽  
Vol 35 (4) ◽  
pp. 505-519 ◽  
Author(s):  
Adil Alpkocak ◽  
Malik Sis
Keyword(s):  
Impulse Response ◽  
Linear Time ◽  
Simulation Software ◽  
Room Acoustics ◽  
New Approach ◽  
Linear Time Invariant ◽  
Linear Time Invariant System ◽  
Time Invariant ◽  
Time Invariant System

AbstractThis paper proposes a new approach for calculating the impulse response of room acoustics. Impulse response provides unique characterization of any discrete lineartime invariant (LTI) systems. We assume that the room is a linear time-invariant system and the impulse response is calculated simply by sending a Dirac Impulse into the system as input and getting the response from the output. Then, the output of the system is represented as a sum of time-shifted weighted impulse responses. Both mathematical justifications for the proposed method and results from simulation software developed to evaluate the proposed approach are presented in detail.

FUZZY CENTRE BASED SOLUTION OF FUZZY COMPLEX LINEAR SYSTEM OF EQUATIONS

2013 ◽  
Vol 21 (04) ◽  
pp. 629-642 ◽  
Author(s):  
DIPTIRANJAN BEHERA ◽  
S. CHAKRAVERTY
Keyword(s):  
Linear Time ◽  
Linear Equations ◽  
Electric Circuit ◽  
System Of Linear Equations ◽  
New Approach ◽  
Linear System Of Equations ◽  
Linear Time Invariant ◽  
Complex Linear ◽  
Time Invariant ◽  
Good Agreement

A new approach to solve Fuzzy Complex System of Linear Equations (FCSLE) based on fuzzy complex centre procedure is presented here. Few theorems related to the investigation are stated and proved. Finally the presented procedure is used to analyze an example problem of linear time invariant electric circuit with complex crisp coefficient and fuzzy complex sources. The results obtained are also compared with the known solutions and are found to be in good agreement.

Control of Dynamic Systems With Nonlinearities and Time Varying Parameters

1993 ◽  
Author(s):  
Dirk Söffker ◽  
Peter C. Müller
Keyword(s):  
Dynamic Systems ◽  
Disturbance Rejection ◽  
Linear Time ◽  
Time Varying ◽  
Varying Parameters ◽  
Linear Time Invariant ◽  
Time Variance ◽  
Disturbance Rejection Control ◽  
Time Varying Parameters ◽  
Time Invariant

Abstract The well-known theory of disturbance rejection control and the experience of using a generalized technique with universal fault model for building observers and regulators for the estimation and compensation of disturbances and unmodeled or uncertain effects as well, could be used for controlling dynamic systems with time varying parameters and nonlinearities. Based on a linear time-invariant model the effects of non-linearities and unmodeled dynamics are estimated by an extended observer scheme. Using this information these dynamic effects will be compensated by the developed compensation scheme. Here also different compensation techniques of disturbance rejection control are discussed, compared, and modified. The simulation example of an inverted flexible pendulum shows the efficiency of the method controlling an unstable mechanical system without exact knowledge of structure and parameters of nonlinearity and time-variance.

Sensitivity Function Based Active Disturbance Rejection Control for the Plant with Unknown Order and Uncertain Relative Degree

2012 ◽  
Vol 542-543 ◽  
pp. 223-227
Author(s):  
Chun Zhe Zhao ◽  
Rong Xu ◽  
Jiang Xiong ◽  
Xiao Ran Lin
Keyword(s):  
Disturbance Rejection ◽  
Linear Time ◽  
Sensitivity Function ◽  
Relative Degree ◽  
Phase System ◽  
Active Disturbance Rejection Control ◽  
Linear Time Invariant ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Time Invariant

The active disturbance rejection control (ADRC) design based on the sensitivity function is studied for the linear time-invariant SISO minimum-phase system with unknown order and uncertain relative degree. It is proved that ADRC can reject the disturbance and guarantee the close-loop stability provided that the relative degree of such plant is bounded.

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