2018
DOI: 10.1002/asjc.1777
|View full text |Cite
|
Sign up to set email alerts
|

Uncertain Method for Optimal Control Problems With Uncertainties Using Chebyshev Inclusion Functions

Abstract: In this paper, a new uncertain analysis method is developed for optimal control problems, including interval variables (uncertainties) based on truncated Chebyshev polynomials. The interval arithmetic in this research is employed for analyzing the uncertainties in optimal control problems comprising uncertain-but-bounded parameters with only lower and upper bounds of uncertain parameters. In this research, the Chebyshev method is utilized because it generates sharper bounds for meaningful solutions of interval… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
8

Relationship

0
8

Authors

Journals

citations
Cited by 11 publications
(4 citation statements)
references
References 30 publications
0
4
0
Order By: Relevance
“…The width of the interval number (x w ), the radius (x r ), and mid-point value (x c ) of an interval integer X is obtained by the following formulas [31,32].…”
Section: Interval Analysismentioning
confidence: 99%
“…The width of the interval number (x w ), the radius (x r ), and mid-point value (x c ) of an interval integer X is obtained by the following formulas [31,32].…”
Section: Interval Analysismentioning
confidence: 99%
“…The control method of general home audio systems is mainly via a mechanical button. Regarding the control methods, previous studies mentioned some methods and mathematical solutions to solve the optimal control problems with uncertainties [8,9].…”
Section: Introduction 1smart Speakers and Home Audio Systemsmentioning
confidence: 99%
“…Moreover, the binaural digital filters have to meet the requirement of the real-time signal processing. The modification of the Butterworth filter was therefore proposed in [8], and the applications of the Chebyshev filter were presented in [9,10]. Instead of using bilinear transformation, Yao et al [11] investigated the positions of the poles in the s-plane and zeros in the z-plane.…”
Section: Introductionmentioning
confidence: 99%