Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System

• Main Authors: Weijie Ren, Renyang You, Wei Yu, Shenghui Guo
• Format: Article
• Language: English
• Published: IEEE 2020-01-01
• Series: IEEE Access
• Subjects: Reduced-order interval observer; interval estimation; descriptor system; sensor noise; discrete-time system
• Online Access: https://ieeexplore.ieee.org/document/9106369/

In this paper, the design of reduced-order and full-order interval observers for discrete-time system is investigated. First, the original system is transformed into a descriptor system with the ability to estimate the unknown noise of sensors. Next, a reduced-order interval observer design method for descriptor system is presented. The state matrix of the system is obtained by linear transformation, and a Sylvester equation is constructed to find the appropriate observer gain matrix. Then, an existing design method of full-order interval observer is introduced in this paper. Finally, a simulation example is given to demonstrate that the reduced-order interval observer has more accurate interval estimation results than the full-order interval observer.