On the Synthesis of Optimum Linear Feedback Control Systems

Peterson, W.C.; Nassar, A.H.

doi:10.1016/0016-0032(78)90033-9

Cited by 13 publications

(4 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A reference system ( M ( s ) ) is created on the basis of the given specification of the real time system for obtaining the anticipated performance such that the closed loop operation of the controlled system with unity feedback is approximately matched with the response of the reference model. The detail algorithm for obtaining the reference system from the given specification is described in (Peterson and Nassar, 1978; Towill, 1970). Let the transfer function of a compensator, which gives the required closed loop performance, be given as…”

Section: Methods For Design Of Compensatormentioning

confidence: 99%

A new model order reduction method for the design of compensator by using moment matching algorithm

Prajapati

Prasad

2019

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

The aim of this paper is the construction of a new model reduction technique for large scale stable linear dynamic systems. It is principally focused on the dominant modes and time moments retention. This reduction implicates the translation of the overall important features confined in the large scale complete order model into the lower order system, allowing the computation of approximant denominator by using generalized pole clustering method. The approximant numerator is obtained by means of the factor division algorithm. As a result, a lower order system is obtained. To demonstrate its effectiveness, to highlight some fundamental of its features, and to accomplish its accuracy, a comparative study is done. Two standard numerical examples are taken, where approximant model computed by the proposed method is compared with the reduced order models computed from the recently proposed methods as well as well-known model reduction schemes. The paper is also emphasized on the design of compensator by using moment matching algorithm with the help of the reduced model. The design of compensator is validated and illustrated with the help of a standard numerical example taken from the literature.

show abstract

Section: Methods For Design Of Compensatormentioning

confidence: 99%

A new model order reduction method for the design of compensator by using moment matching algorithm

Prajapati

Prasad

2019

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…In all "r" clusters, the higher-dimensional plant's "r" dominating poles are distributed in this fashion. In contrast to the current techniques [37], [56]-[64], which keep first clusters in the poles are dominating, each cluster thus retains the original system's dominating pole. The cluster center of group are reached as a result of the distribution of the poles within the groups…”

Section: Real Pole Clusteringmentioning

confidence: 99%

“…s 4 +35s 3 +291s 2 +1093s+1700 s 9 +9s 8 +66s 7 +294s 6 +1029s 5 +2541s 4 +4684s 3 +5856s 2 +4620s+1700 (36) The given plant's denominator equation is represented as: D (s) = s 9 +9s 8 +66s 7 +294s 6 +1029s 5 +2541s 4 +4684s 3 +5856s 2 +4620s + 1700 (37) Poles--1, -1 -1 j, -1 + 1 j, -1 -2 j, -1 + 2 j, -1 -3j, -1 + 3j, -1 -4j, -1 + 4j…”

Section: G(s) =mentioning

confidence: 99%

Using a New Model Reduction Controllers Technique for Design a Large-Scale Linear Systems

Monika,

Mishra

2023

Preprint

View full text Add to dashboard Cite

A innovative technique is introduced for decreasing the complexity of linear dynamical systems of higher order systems. Here, a generalized technique for grouping of poles is employ to find the reducing order plant’s denominators polynomial and numerator of polynomial is determine the using of time moment matching method. The algorithm for the grouping of generalized poles ensures that the maintenance of steadiness and prominent poles from the original system within the plant of reduced order. The suggested technology is supported by performances of error matrices such as many integrals error like absolute error, square error, time-weighted of absolute error and relative square error. A moment matching approach is used to create proportional integral derivative and lead/lag compensators using the simplified plant's transfer function. The original large-scale system is then modified to incorporate this controller, yielding a closed-loop response that closely resembles the characteristics response of the targeted references model.

show abstract

“…Step 1: A reference model M ( s ) is constructed on the basis of the given specifications of the complex real-time system for acquiring the estimated characteristic such that the closed loop characteristic of the controlled model with unity feedback is resembled with that of the reference system. The detailed processes for determining the reference plant from the given specification are illustrated in Peterson and Nassar (1978) and Towill (1970).…”

Section: Controller Design Algorithmmentioning

confidence: 99%

A novel order reduction method for linear dynamic systems and its application for designing of PID and lead/lag compensators

Prajapati

Prasad

2020

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

This paper proposes a new model order reduction technology for the simplification of the complexity of large scale models. The proposed technique is focused on the Mihailov stability approach that guarantees the stability of the reduced model constrained that the complex system is stable. In this scheme, the denominator coefficients of the approximated simplified system are computed by using the Mihailov stability algorithm and the truncation method is used for the determination of coefficients of the numerator polynomial. The effectiveness and efficiency of the proposed approach are illustrated by comparing the step responses of the given system and approximated lower order models. The error indices such as integral square error (ISE), relative integral square error (RISE), integral absolute error (IAE) and integral time weighted absolute error (ITAE) are used as performance indices for comparing the proposed scheme with other existing standard reduced order modeling methods. The obtained reduced model is used for the designing of controllers for the original complex system. A new scheme for the determination of controllers is also proposed for the large scale models with help of reduced order modeling. The proposed technique is validated by applying it to an eighth order flexible-missile control system and a third order fuel control system. The simulation results show the dominance of the proposed methodologies over the latest model diminution techniques available in the literature.

show abstract

On the Synthesis of Optimum Linear Feedback Control Systems

Cited by 13 publications

References 2 publications

A new model order reduction method for the design of compensator by using moment matching algorithm

A new model order reduction method for the design of compensator by using moment matching algorithm

Using a New Model Reduction Controllers Technique for Design a Large-Scale Linear Systems

A novel order reduction method for linear dynamic systems and its application for designing of PID and lead/lag compensators

Contact Info

Product

Resources

About