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169276

Optimal Control Implementation for Linear Systems via Riccati Equation.

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Last updated: 22 Jan 2023

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Tags

Computer Engineering and Systems

Abstract

The paper deals with the implementation of optimal controller design for linear dynamic systems. The implementation is carried out with the use of quadratic cost function for both cases of continuous and discrete systems. The mathematical optimal control theory is applied to dynamical systems with considering the form of either vector differential equations in continuous time case, or difference equations in discrete time- or sampled data-case. 
The bulk of the work provides design techniques for synthesizing the optimal control structure by applying the Pontryagin's Maxi mum principle to linear systems with using Matrix Riccati Equation. The work is focused upon regulator problems; that is problems where the goal is to maintain the system states at zero level. 
The implemented techniques are tested by the application on fourth order practical example represents the linearized control model of two-reach river pollution System. Also comparative study between the continuous and discrete optimal regulator problems will be presented and discussed from a numerical point-of-view. 

DOI

10.21608/bfemu.2021.169276

Authors

First Name

K.

Last Name

Soliman

MiddleName

M.

Affiliation

Automatic Control & Computers Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

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City

Mansoura

Orcid

-

Volume

16

Article Issue

1

Related Issue

24660

Issue Date

1991-05-01

Receive Date

1991-01-11

Publish Date

2021-05-01

Page Start

70

Page End

78

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 16_Issue 1_Pages 70-78.pdf

PDF . 87.2kB

Link

https://bfemu.journals.ekb.eg/article_169276.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=169276

Order

5

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

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Details

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Article

Created At

22 Jan 2023