An efficient primal-dual interior method for solving biaffine matrix inequality problems is proposed. Some extensions of Newton's method is also proposed for nonconvex optimization problems. The proposed methods can be applied to synthesizing robust controllers, static output feedback controllers, mixed H/sub 2//H/sub /spl infin// controllers, mixed H/sub 2//H/sub /spl infin// PID controllers, etc. Which can be obtained by solving biaffine or linear matrix inequality problems. An explicit algorithm is also provided using the matrices in control problems.
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机译：提出了一种解决仿射矩阵不等式问题的有效的原对偶内部方法。还提出了牛顿方法的一些扩展，用于非凸优化问题。所提出的方法可以应用于综合鲁棒控制器，静态输出反馈控制器，混合H / sub 2 // H / sub / spl infin //控制器，混合H / sub 2 // H / sub / spl infin // PID控制器，等等。可以通过解决biaffine或线性矩阵不等式问题获得。还使用控制问题中的矩阵提供了一种显式算法。
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