Robust Performance of Systems with Structured Uncertainties in State Space

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• 作者：Zhou ; Kemin ; Khargonekar ; Pramod P. ; Stoustrup ; Jakob ; Niemann ; Hans Henrik
• 关键词：Robust control ; state feedback ; convex programming
• 刊名：Automatica
• 出版年：1995
• 出版时间：February, 1995
• 年：1995
• 卷：31
• 期：2
• 页码：249-255
• 全文大小：543 K

文摘

This paper considers robust performance analysis and state feedback design for systems with time-varying parameter uncertainties. The notion of a strongly robust H_∞ performance criterion is introduced, and its applications in robust performance analysis and synthesis for nominally linear systems with time-varying uncertainties are discussed and compared with the constant scaled small gain criterion. It is shown that most robust performance analysis and synthesis problems under this strongly robust H_∞ performance criterion can be transformed into linear matrix inequality problems, and can be solved through finite-dimensional convex programming. The results are in general less conservative than those using small gain type criteria.