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LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation
- Source :
- Mathematics, Volume 9, Issue 10, Mathematics, Vol 9, Iss 1128, p 1128 (2021)
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in the existence of external perturbations and Lipchitz nonlinearities is presented. This manuscript aims to design a state feedback controller based on a state observer by the linear matrix inequality method. The conditions of linear matrix inequality guarantee the asymptotical stability of the system based on the Lyapunov theorem. The stabilizer and observer parameters are obtained using linear matrix inequalities, which make the state errors converge to the origin. The effects of the nonlinear Lipschitz perturbation and external disturbances on the system stability are then reduced. Moreover, the stabilizer and observer design techniques are investigated for the nonlinear systems with an output nonlinear function. The main advantages of the suggested approach are the convergence of estimation errors to zero, the Lyapunov stability of the closed-loop system and the elimination of the effects of perturbation and nonlinearities. Furthermore, numerical examples are used to illustrate the accuracy and reliability of the proposed approaches.
- Subjects :
- Lyapunov stability
Lipchitz system
0209 industrial biotechnology
output feedback
Observer (quantum physics)
General Mathematics
Linear matrix inequality
02 engineering and technology
Lipschitz continuity
stabilization
observer-based control
Nonlinear system
020901 industrial engineering & automation
Control theory
Convergence (routing)
Full state feedback
QA1-939
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
020201 artificial intelligence & image processing
State observer
chaos control
Engineering (miscellaneous)
Mathematics
Subjects
Details
- ISSN :
- 22277390
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....8168051153b932eb9c47e201173ffc78
- Full Text :
- https://doi.org/10.3390/math9101128