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$$\mathcal L_2$$ and $$\mathcal H_2$$ performance analysis and gain-scheduling synthesis for parameter-dependent systems. (English) Zbl 1283.93121
Summary: This paper focuses on quadratic performance analysis and output feedback gain-scheduling synthesis for parameter-dependent systems with linear fractional representations (LFRs). New quadratic $$\mathcal H_{2}$$ and $$\mathcal L_2$$ performance analysis results based on full-block multipliers are given. A novel gain-scheduling output feedback synthesis, which can be regarded as a natural extension of the loop shaping design procedure of McFarlane and Glover to parameter-dependent systems, is proposed. This gain-scheduling technique is computationally attractive and yields a simple and transparent control structure that can be easily implemented. Its effectiveness is illustrated on a benchmark missile autopilot example.

##### MSC:
 93B50 Synthesis problems 93C15 Control/observation systems governed by ordinary differential equations 93C05 Linear systems in control theory
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