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Solution of the HJI equations for nonlinear H_∞ control design by state-dependent Riccati equations approach 被引量：1

Solution of the HJI equations for nonlinear H_∞ control design by state-dependent Riccati equations approach
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摘要 The relationship between the technique by state- dependent Riccati equations （SDRE） and Hamilton-Jacobi-lsaacs （HJI） equations for nonlinear H∞ control design is investigated. By establishing the Lyapunov matrix equations for partial derivates of the solution of the SDREs and introducing symmetry measure for some related matrices, a method is proposed for examining whether the SDRE method admits a global optimal control equiva- lent to that solved by the HJI equation method. Two examples with simulation are given to illustrate the method is effective. The relationship between the technique by state- dependent Riccati equations （SDRE） and Hamilton-Jacobi-lsaacs （HJI） equations for nonlinear H∞ control design is investigated. By establishing the Lyapunov matrix equations for partial derivates of the solution of the SDREs and introducing symmetry measure for some related matrices, a method is proposed for examining whether the SDRE method admits a global optimal control equiva- lent to that solved by the HJI equation method. Two examples with simulation are given to illustrate the method is effective.
作者 Xueyan Zhao Feiqi Deng
机构地区 Institute of Systems Engineering
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第4期654-660,共7页 系统工程与电子技术（英文版）
基金 supported by the National Natural Science Foundation of China(60874114)
关键词 nonlinear system robust control Hamilton-Jacobi-Isaacs （HJI） equation state-dependent Riccati equation （SDRE） global stabilization optimal control. nonlinear system, robust control, Hamilton-Jacobi-Isaacs （HJI） equation, state-dependent Riccati equation （SDRE）,global stabilization, optimal control.
分类号 O175.1 [理学—基础数学] TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献25

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Journal of Systems Engineering and Electronics
2011年 第4期

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