This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers. The design objectives can be a mix of H/sub /spl infin// performance, H/sub 2/ performance, passivity, asymptotic disturbance rejection, time-domain constraints, and constraints on the closed-loop pole location. In addition, these objectives can be specified on different channels of the closed-loop system. When all objectives are formulated in terms of a common Lyapunov function, controller design amounts to solving a system of linear matrix inequalities. The validity of this approach is illustrated by a realistic design example.
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机译：本文概述了线性矩阵不等式（LMI）方法用于线性输出反馈控制器的多目标综合。设计目标可以是H / sub / spl infin //性能，H / sub 2 /性能，无源性，渐近干扰抑制，时域约束以及对闭环极点位置的约束的混合。此外，可以在闭环系统的不同通道上指定这些目标。当所有目标都用一个共同的Lyapunov函数表述时，控制器的设计就等于解决线性矩阵不等式的系统。一个实际的设计示例说明了这种方法的有效性。
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