A new approach to design asymptotically stabilizing control and adaptive control

A new approach to design asymptotically stabilizing control and adaptive control
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DOI:
10.1002/oca.2458
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发表时间:
2018-07
影响因子:
1.8
通讯作者:
M. H. Noori Skandari;A. Nazemi
M. H. Noori Skandari;A. Nazemi
中科院分区:
计算机科学4区
文献类型:
--
作者:
M. H. Noori Skandari;A. Nazemi

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In this paper, we propose a new approach to design the asymptotically stabilizing control and adaptive control for nonlinear systems. We first propose an infinite‐horizon optimal control (OC) problem according to the nonlinear control system. We prove that its OC can be an asymptotically stabilizing control or adaptive control for the original nonlinear system. Then, we convert the infinite‐horizon OC problem into an equivalent finite‐horizon OC problem. Moreover, we utilize the Legendre pseudospectral method to solve the proposed problem. Finally, several examples are given to illustrate the efficiency of the approach.