Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | 2015 European Control Conference (ECC) |
| Publisher | IEEE |
| Pages | 1255 - 1260 |
| ISBN (Print) | 9781467371605 |
| DOIs | |
| Publication status | Published - 2015 |
| Event | 2015 European Control Conference - Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015 |
Conference
| Conference | 2015 European Control Conference |
|---|---|
| Abbreviated title | ECC |
| Country/Territory | Austria |
| City | Linz |
| Period | 15/07/15 → 17/07/15 |
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