A Methodology for Multiple Objective Control Design with Robust Performance.

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In this paper, we consider performance robustness with two objectives of finite-dimensional, linear time-invariant systems having structured norm-bounded uncertainty, where two performance objectives are given by H∞ norm constraints on transfer functions associated with a single closed-loop system. A methodology for the robust control design is proposed. We prove that a performance robustness problem with multiple objectives is equivalent to a stability robustness problem with extra repeated uncertainty blocks. We show how the equivalent transformation can be exploited to propose a method of controller designs. A numerical example illustrates how the design approach proposed deals with trade-off between two objectives effectively and finds satisfactory controllers achieving two performance objectives robustly.
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