Stability and robust stabilization of 2-D continuous-discrete systems in Roesser model based on KYP lemma

作者：Wang, Lanning^*; Wang, Weiqun; Gao, Jingbo; Chen, Weimin

来源：Multidimensional Systems and Signal Processing, 2017, 28(1): 251-264.

DOI：10.1007/s11045-015-0355-2

• 2-D systems
• Continuous-discrete systems
• KYP lemma
• Robust stability
• Frequency-partitioning
• LMIs

This paper investigates the problem of stability and robust stabilization of two-dimensional (2-D) continuous-discrete systems in Roesser model. Based on Kalman-Yakubovich-Popov (KYP) lemma, sufficient conditions of stability of the systems are proposed in terms of linear matrix inequalities (LMIs). Moreover, combining generalized KYP lemma with frequency-partitioning idea, the conservativeness of the stability conditions may be further reduced. Robust stabilization using state feedback is studied as well and stabilizing feedback gain matrices are constructed based on the solutions of certain LMIs. In addition, the stability analysis of a class of differential repetitive processes, a special case of 2-D continuous-discrete systems in Roesser model, can adopt the results in this manuscript. Numerical examples are presented to verify the effectiveness of the method.

• 出版日期2017-1
• 单位南京理工大学; 南京邮电大学