Application of the observer/Kalman filter identification method to unknown time-delay disturbed systems and the associated optimal digital tracker design. Issue 16 (10th December 2019)

• Record Type: Journal Article
• Authors: Tsai, Jason Sheng-Hong; Kuo, Li-Ya; Guo, Shu-Mei; Shieh, Leang-San; Canelon, Jose I.
• Is Part Of: International journal of systems science. Volume 50:Issue 16(2019)
• Page Start: 2935
• Page End: 2961
• Publication Date: 2019-12-10
• Subjects: Time delay system -- observer/Kalman filter identification (OKID) -- non-minimum phase systems (NMP) -- disturbance estimator -- distributed power grid (DPG) system; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1691282
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: Many practical systems are described as unknown multi-input-multi-output (MIMO) time-delay systems with unknown disturbances. The properties and performance of multi-time-delay MIMO systems are quite different compared to delay-free systems, in particular if the time-delay is long. In addition, for practical implementation digital controllers are often required instead of analog controllers. This paper presents: (i) an overview of the mathematical modelling based on the observer/Kalman filter identification (OKID) method, with some insight on known/unknown MIMO systems; (ii) a study of the pole-zero maps of the identified delay-free system and the known/unknown time-delay system for various sampling periods; (iii) a development of the explicit pole-zero map of the sampled-data MIMO neutral system with multiple discrete and disturbed time delays; (iv) an utilisation of the OKID method for known/unknown time-delay sampled-data MIMO systems with unknown disturbances; (v) an extension of the existing equivalent-input-disturbance (EID) estimator, to determine a robust tracker for the unknown time-delay system with unknown disturbances; and (vi) an investigation on the unknown time-delay system with stable or unstable zeros to determine which traditional or customised tracker can be applied. In addition, simulation studies are performed on the relationship between pole-zero maps and delay times.