SDRE-based near optimal nonlinear controller design for unified chaotic systems

Han Ho Choi

doi:10.1007/s11071-012-0598-5

SDRE-based near optimal nonlinear controller design for unified chaotic systems

Han Ho Choi

Department of Electronics & Electrical Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper proposes a near optimal controller design method for unified chaotic systems based on state-dependent Riccati equation (SDRE) approach. A parameterization of the optimal nonlinear control gain is given in terms of the solution matrix of an SDRE. A simple algorithm to compute the near optimal control gain is proposed. The proposed near optimal control design method is also extended to the synchronization problem for unified chaotic systems. Finally, the effectiveness of the proposed design method is verified via numerical simulations.

Original language	English
Pages (from-to)	2063-2070
Number of pages	8
Journal	Nonlinear Dynamics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/s11071-012-0598-5
State	Published - Nov 2012

Keywords

Chaos
Nonlinear system
Optimal control
State-dependent Riccati equation (SDRE)
Synchronization
Unified chaotic system

Access to Document

10.1007/s11071-012-0598-5

Cite this

@article{056654a24e0f48e398893e33426a67b9,

title = "SDRE-based near optimal nonlinear controller design for unified chaotic systems",

abstract = "This paper proposes a near optimal controller design method for unified chaotic systems based on state-dependent Riccati equation (SDRE) approach. A parameterization of the optimal nonlinear control gain is given in terms of the solution matrix of an SDRE. A simple algorithm to compute the near optimal control gain is proposed. The proposed near optimal control design method is also extended to the synchronization problem for unified chaotic systems. Finally, the effectiveness of the proposed design method is verified via numerical simulations.",

keywords = "Chaos, Nonlinear system, Optimal control, State-dependent Riccati equation (SDRE), Synchronization, Unified chaotic system",

author = "Choi, {Han Ho}",

year = "2012",

month = nov,

doi = "10.1007/s11071-012-0598-5",

language = "English",

volume = "70",

pages = "2063--2070",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - SDRE-based near optimal nonlinear controller design for unified chaotic systems

AU - Choi, Han Ho

PY - 2012/11

Y1 - 2012/11

N2 - This paper proposes a near optimal controller design method for unified chaotic systems based on state-dependent Riccati equation (SDRE) approach. A parameterization of the optimal nonlinear control gain is given in terms of the solution matrix of an SDRE. A simple algorithm to compute the near optimal control gain is proposed. The proposed near optimal control design method is also extended to the synchronization problem for unified chaotic systems. Finally, the effectiveness of the proposed design method is verified via numerical simulations.

AB - This paper proposes a near optimal controller design method for unified chaotic systems based on state-dependent Riccati equation (SDRE) approach. A parameterization of the optimal nonlinear control gain is given in terms of the solution matrix of an SDRE. A simple algorithm to compute the near optimal control gain is proposed. The proposed near optimal control design method is also extended to the synchronization problem for unified chaotic systems. Finally, the effectiveness of the proposed design method is verified via numerical simulations.

KW - Chaos

KW - Nonlinear system

KW - Optimal control

KW - State-dependent Riccati equation (SDRE)

KW - Synchronization

KW - Unified chaotic system

UR - http://www.scopus.com/inward/record.url?scp=84870946146&partnerID=8YFLogxK

U2 - 10.1007/s11071-012-0598-5

DO - 10.1007/s11071-012-0598-5

M3 - Article

AN - SCOPUS:84870946146

SN - 0924-090X

VL - 70

SP - 2063

EP - 2070

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 3

ER -

SDRE-based near optimal nonlinear controller design for unified chaotic systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this