A descriptor system approach to robust H∞ control for linear systems with time-varying uncertainties
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CitationDai, S. L., Zhao, J., Dimirovski, G. M. (2009). A descriptor system approach to robust H∞ control for linear systems with time-varying uncertainties. International Journal of Systems Science, 40(12), 1293-1306. https://dx.doi.org/10.1080/00207720903040388.
This article addresses the problems of robust H-infinity performance analysis and synthesis for continuous-time linear systems with time-varying uncertainties using parameter-dependent Lyapunov functions. An H-infinity performance criterion in terms of linear matrix inequalities is derived via employing a descriptor model transformation of linear systems with polytopic uncertainties (polytopic systems). This H-infinity performance criterion can be applied to robust controller synthesis and filtering design. The descriptor system approach is also taken to explore robust H-infinity performance analysis and controller synthesis of affine parameter systems. A flight control system and two numerical examples are given to illustrate the effectiveness of the proposed analysis and synthesis procedures.
SourceInternational Journal of Systems Science
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