English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Negative imaginary (NI) systems play an important role in the robust controlof highly resonant flexible structures. In this paper, a generalized NI systemframework is presented. A new NI system definition is given, which allows forflexible structure systems with colocated force actuators and position sensors,and with free body motion. This definition extends the existing definitions ofNI systems. Also, necessary and sufficient conditions are provided for thestability of positive feedback control systems where the plant is NI accordingto the new definition and the controller is strictly negative imaginary. Thestability conditions in this paper are given purely in terms of properties ofthe plant and controller transfer function matrices, although the proofs relyon state space techniques. Furthermore, the stability conditions given areindependent of the plant and controller system order. As an application ofthese results, a case study involving the control of a flexible robotic armwith a piezo-electric actuator and sensor is presented.

Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures with Free Body Motion