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Robust and gain-scheduled H/sub 2/ synthesis for LFT parameter-dependent systems

Fen Wu, Ke Dong

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Abstract

In this paper, we solve the robust H/sub 2/ synthesis problem for linear fractional transformation (LFF) systems affected by white noise disturbances. Using an intermediate matrix, we develop robust and gain-scheduling control synthesis conditions in linear matrix inequality (LMI) forms. The newly proposed robust H/sub 2/ control approach has been applied to several examples, and demonstrated less conservative performance than other control designs based on robust H/sub /spl infin// method.

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What this paper is about

In this paper, we solve the robust H/sub 2/ synthesis problem for linear fractional transformation (LFF) systems affected by white noise disturbances. Using an intermediate matrix, we develop robust and gain-scheduling control synthesis conditions in linear matrix inequality (LMI) forms. The newly proposed robust H/sub 2/ control approach has been applied to several examples, and demonstrated less conservative performance than other control designs based on robust H/sub /spl infin// method.

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Available abstract

In this paper, we solve the robust H/sub 2/ synthesis problem for linear fractional transformation (LFF) systems affected by white noise disturbances. Using an intermediate matrix, we develop robust and gain-scheduling control synthesis conditions in linear matrix inequality (LMI) forms. The newly proposed robust H/sub 2/ control approach has been applied to several examples, and demonstrated less conservative performance than other control designs based on robust H/sub /spl infin// method.

Key concepts: Linear fractional transformation, Robust control, Control theory (sociology), Linear matrix inequality, Gain scheduling, Automatic gain control, Robustness (evolution), White noise

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