Disturbance attenuation in observer design for linear systems – a new parametric approach. Issue 3 (17th February 2021)

• Record Type: Journal Article
• Authors: Zhao, Tianyi; Duan, Guangren
• Is Part Of: International journal of systems science. Volume 52:Issue 3(2021)
• Page Start: 583
• Page End: 595
• Publication Date: 2021-02-17
• Subjects: Observer design -- disturbance attenuation -- disturbance decoupling -- parametric control system design -- eigenstructure assignment; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1834005
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In this paper, a new parametric approach is developed for disturbance attenuation in observer design of linear time-invariant systems. First, based on the general solution to a type of generalised Sylvester equations, a complete parametric form of the observer gain matrix is established. Secondly, a new disturbance attenuation index is introduced, and the parameters are further optimised to minimise the index. Under certain conditions, the optimal solution of this optimisation problem is obtained. Finally, the proposed method is used to design the robust observer for the yaw/roll channel attitude control system of a nonrotating missile. It is verified from the simulation results that the proposed method shows a stronger tolerance to disturbances compared with the traditional robust pole assignment method.