Stability Analysis and RBF Neural Network Control of Second-Order Nonlinear Satellite System
- 9 February 2023
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Aerospace and Electronic Systems
- Vol. 59 (4) , 4575-4589
Abstract
This paper studies the open-loop stability analysis and radial basis function based neural-network(RBFNN) control of the triangular tethered satellite formation(TTSF) systems which comprise the in-plane and out-plane dynamics. The dynamical equations of TTSF are nonlinear coupled second-order differential equations(DE), whose explicit solutions are hard to work out. Therefore, the dynamics of systems are analyzed by imposing some constraints on initial states, and the norms of proper initialization for such TTSF systems are obtained by solving the DE. As a result, the nonlinear controllers achieving stable tracking to reference states of TTSF systems are designed based on open-loop analysis. Furthermore, when the structure information of the system is uncertain, delay sampled NN(DSNN) as well as offline training NN(OTNN) control algorithms are proposed to train RBFNN, and the optimal weights of NN are computed by least square(LS) method. Then RBFNN control is imposed to the uncertain TTSF system to ensure the stable tracking, and the stability proof of the control is given. Finally, simulations are taken on the specific motions of TTSF system to test the theoretical results.Keywords
Funding Information
- National Natural Science Foundation of China (91848205, 62222313, 62173275)
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