HCodesign for Uncertain Nonlinear Control Systems Based on Policy Iteration Method

Quan Yong Fan, Dongsheng Wang, Bin Xu

科研成果: 期刊稿件文章同行评审

55 引用 (Scopus)

摘要

In this article, the problem of H∞ codesign for nonlinear control systems with unmatched uncertainties and adjustable parameters is investigated. The main purpose is to solve the adjustable parameters and H∞ controller simultaneously so that better robust control performance can be achieved. By introducing a bounded function and defining a special cost function, the problem of solving the Hamilton-Jacobi-Isaacs equation is transformed into an optimization problem with nonlinear inequality constraints. Based on the sum of squares technique, a novel policy iteration algorithm is proposed to solve the problem of the H∞ codesign. Moreover, one modified algorithm for optimizing the robust performance index is given. The convergence and the performance improvement of new iteration policy algorithms are proved. Simulation results are presented to demonstrate the effectiveness of the proposed algorithms.

源语言英语
页(从-至)10101-10110
页数10
期刊IEEE Transactions on Cybernetics
52
10
DOI
出版状态已出版 - 1 10月 2022

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