Increasing eigenstructure assignment design degree of freedom using lifting. Issue 10 (3rd October 2017)

• Record Type: Journal Article
• Authors: Chen, L.; Pomfret, A.J.; Clarke, T.
• Is Part Of: International journal of control. Volume 90:Issue 10(2017)
• Page Start: 2111
• Page End: 2123
• Publication Date: 2017-10-03
• Subjects: Lifting -- eigenstructure assignment -- causality constraint; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1236294
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper presents the exposition of an output-lifting eigenstructure assignment (EA) design framework, wherein the available EA design degrees of freedom (DoF) is significantly increased, and the desired eigenstructure of a single-rate full state feedback solution can be achieved within an output feedback system. A structural mapping is introduced to release the output-lifting causality constraint. Additionally, the available design DoF can be further enlarged via involving the input-lifting into the output-lifting EA framework. The newly induced design DoF can be utilised to calculate a structurally constrained, causal gain matrix which will maintain the same assignment capability. In this paper, the robustification of the output-lifting EA is also proposed, which allows a trade-off between performance and robustness in the presence of structured model uncertainties to be established. A lateral flight control benchmark in the EA literature and a numerical example are used to demonstrate the effectiveness of the design framework.