1. Data-Driven Robust Stabilization with Robust DOA Enlargement for Nonlinear Systems
- Author
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Lu, Chaolun, Li, Yongqiang, Hou, Zhongsheng, Feng, Yuanjing, Feng, Yu, Chi, Ronghu, Bu, Xuhui, Lu, Chaolun, Li, Yongqiang, Hou, Zhongsheng, Feng, Yuanjing, Feng, Yu, Chi, Ronghu, and Bu, Xuhui
- Abstract
Most of nonlinear robust control methods just consider the affine nonlinear nominal model. When the nominal model is assumed to be affine nonlinear, available information about existing non-affine nonlinearities is ignored. For non-affine nonlinear system, Li et al. (2019) proposes a new nonlinear control method to solve the robust stabilization problem with estimation of the robust closed-loop DOA (Domain of attraction). However, Li et al. (2019) assumes that the Lyapunov function is given and does not consider the problem of finding a good Lyapunov function to enlarge the estimate of the robust closed-loop DOA. The motivation of this paper is to enlarge the estimate of the closed-loop DOA by selecting an appropriate Lyapunov function. To achieve this goal, a solvable optimization problem is formulated to select an appropriate Lyapunov function from a parameterized positive-definite function set. The effectiveness of proposed method is verified by numerical results., Comment: 6 pages, 6 figures, preprint submitted to IFAC World Congress(2020). arXiv admin note: text overlap with arXiv:1909.12561
- Published
- 2019