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Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs
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abstract
In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing controller consists of a second order reset element in parallel with a proportional gain. The proposed method goes beyond existing approaches that are limited to stable systems only, providing a well-applicable approach to design problems in practice where the plant is unstable.
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Cited by 1 Pith paper
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Scaled Relative Graph Analysis of General Interconnections of SISO Nonlinear Systems
The authors introduce an extended Scaled Relative Graph that includes Nyquist encirclement data, enabling stability and L2-gain analysis of feedback interconnections with unstable linear components.
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