A Note on Sampled-Data Stabilization of LTI Systems With Aperiodic Sampling

作者：Lee Dong Hwan^*; Joo Young Hoon

来源：IEEE Transactions on Automatic Control, 2015, 60(10): 2746-2751.

DOI：10.1109/TAC.2015.2404251

• Aperiodic sampling
• linear matrix inequality (LMI)
• linear time-invariant (LTI) system
• Lyapunov theory
• sampled-data control

In this technical note, we are concerned with linear matrix inequality (LMI) approaches for solving sampled-data state-feedback control design problems of linear time-invariant systems. This short contribution discusses a simple alternative to a family of LMI approaches based on the polytopic linear difference inclusion representation of the original problem. With the aid of the so-called matrix-dilation technique, the proposed condition is capable of being directly derived from the discrete-time Lyapunov inequality without the polytopic modeling. Finally, numerical experiments are given to illustrate the results.

• 出版日期2015-10