| Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China （60874114）. |
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| 摘 要： | The relationship between the technique by statedependent Riccati equations (SDRE) and Hamilton-Jacobi-Isaacs (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 equivalent to that solved by the HJI equation method.Two examples with simulation are given to illustrate the method is effective.
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| 关 键 词： | nonlinear system robust control Hamilton-JacobiIsaacs (HJI) equation state-dependent Riccati equation (SDRE) global stabilization optimal control. |
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