Stability analysis of sampled-data control system and its application to electric power market

Abstract

The stability of sampled-data systems is investigated using a new type of Lyapunov functional. The interval from the sampling point t k to t k+1 is assumed to be a sampling interval. By fully utilizing the characteristic information on the whole sampling interval, a new two-sided closed-loop Lyapunov functional is proposed, which utilizes the information on both the intervals from the sampling point t to t k and from t to t k+1 . Based on the two-sided closed-loop Lyapunov functional and modified free-matrix-based inequality, a less conservative stability criterion is derived for a sampled-data control system, and three numerical examples are provided to verify the effectiveness and reduced conservativeness of the proposed method. Furthermore, the proposed method is applied to solve the stability problem of electric power markets, and the practical significance of reducing the conservativeness is discussed.

Keywords

• stability
• sampled-data control system
• two-sided closed-loop lyapunov functional
• electric power market