Nonlinear H∞ observer design for one-sided Lipschitz discrete-time singular systems with time-varying delay

作者：Yang, Yuxia; Lin, Chong^*; Chen, Bing

来源：International Journal of Robust and Nonlinear Control, 2019, 29(1): 252-267.

DOI：10.1002/rnc.4391

• linear matrix inequality
• nonlinear H-infinity observer design
• one-sided Lipschitz condition
• singular systems
• time-varying delay

This paper investigates the H-infinity observer design problem for a class of nonlinear discrete-time singular systems with time-varying delays and disturbance inputs. The nonlinear systems can be rectangular and the nonlinearities satisfy the one-sided Lipschitz condition and quadratically inner-bounded condition, which are more general than the traditional Lipschitz condition. By appropriately dealing with these two conditions and applying several important inequalities, a linear matrix inequality-based approach for the nonlinear observer design is proposed. The resulting nonlinear H-infinity observer guarantees asymptotic stability of the estimation error dynamics with a prescribed performance gamma. The synthesis condition of H-infinity observer design for nonlinear discrete-time singular systems without time delays is also presented. The design is first addressed for one-sided Lipschitz discrete-time singular systems. Finally, two numerical examples are given to show the effectiveness of the present approach.

• 出版日期2019-1-10
• 单位青岛理工大学; 青岛大学