A descriptor system approach to robust H-infinity control for linear systems with time-varying uncertainties

作者：Dai Shi Lu; Zhao Jun^*; Dimirovski Georgi M

来源：International Journal of Systems Science, 2009, 40(12): 1293-1306.

DOI：10.1080/00207720903040388

• H-infinity control
• descriptor system approach
• affine parameter systems
• polytopic systems
• parameter-dependent Lyapunov functions

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.

• 出版日期2009
• 单位东北大学