### Abstract

Original language | English |
---|---|

Pages (from-to) | 1255 - 1260 |

Journal | 2015 European Control Conference (ECC) |

DOIs | |

Publication status | Published - 2015 |

### Fingerprint

### Bibliographical note

The full text is not available on the repository.### Keywords

- Lyapunov matrix equations
- closed loop systems
- control system synthesis
- delays
- nonlinear control systems
- optimal control
- robust control
- state feedback
- Lyapunov matrix equation
- Razumikhin stability approach
- closed-loop cost function value
- delay dependent stability criterion
- infinite delay
- model transformation technique
- nonlinear neutral system
- optimal guaranteed cost controller design
- quadratic cost function
- robust guaranteed cost control
- state feedback control law
- Cost function
- Delays
- Linear matrix inequalities
- Mathematical model
- Robustness
- Stability criteria

### Cite this

**Robust guaranteed cost control for a nonlinear neutral system with infinite delay.** / Davies, I.; Haas, Olivier L. C.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Robust guaranteed cost control for a nonlinear neutral system with infinite delay

AU - Davies, I.

AU - Haas, Olivier L. C.

N1 - The full text is not available on the repository.

PY - 2015

Y1 - 2015

N2 - The paper presents new results for the robust guaranteed cost control problem for a nonlinear neutral system having infinite delay with a given quadratic cost function. A delay dependent stability criterion, based on a model transformation technique, is proposed. A state feedback control law is then designed using the Razumikhin stability approach and the Lyapunov matrix equation to ensure not only the closed-loop systems robust stability but guarantee that the closed-loop cost function value remains within a specified bound. The problem of designing the optimal guaranteed cost controller is also given in terms of inequalities. An example illustrates the theoretical results.

AB - The paper presents new results for the robust guaranteed cost control problem for a nonlinear neutral system having infinite delay with a given quadratic cost function. A delay dependent stability criterion, based on a model transformation technique, is proposed. A state feedback control law is then designed using the Razumikhin stability approach and the Lyapunov matrix equation to ensure not only the closed-loop systems robust stability but guarantee that the closed-loop cost function value remains within a specified bound. The problem of designing the optimal guaranteed cost controller is also given in terms of inequalities. An example illustrates the theoretical results.

KW - Lyapunov matrix equations

KW - closed loop systems

KW - control system synthesis

KW - delays

KW - nonlinear control systems

KW - optimal control

KW - robust control

KW - state feedback

KW - Lyapunov matrix equation

KW - Razumikhin stability approach

KW - closed-loop cost function value

KW - delay dependent stability criterion

KW - infinite delay

KW - model transformation technique

KW - nonlinear neutral system

KW - optimal guaranteed cost controller design

KW - quadratic cost function

KW - robust guaranteed cost control

KW - state feedback control law

KW - Cost function

KW - Delays

KW - Linear matrix inequalities

KW - Mathematical model

KW - Robustness

KW - Stability criteria

U2 - 10.1109/ECC.2015.7330712

DO - 10.1109/ECC.2015.7330712

M3 - Article

SP - 1255

EP - 1260

JO - 2015 European Control Conference (ECC)

JF - 2015 European Control Conference (ECC)

ER -