Abstract
In this paper, we are concerned with model-free control of the Lorenz chaotic system, where only the online input and output are available while the mathematic model of the system is unknown. The problem is formulated from an optimal control perspective and solved using an iterative method. The convergence of the iteration and the stability of the control law are proven in theory. Simulations validate theoretical conclusions and demonstrate the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 4891-4900 |
| Number of pages | 10 |
| Journal | Communications in Nonlinear Science and Numerical Simulation |
| Volume | 17 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 1 Dec 2012 |
| Externally published | Yes |
Keywords
- Bellman equation
- Lorenz chaotic system
- Model-free control
- Principle of optimality
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics
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