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Electrical Engineering and Systems Science > Systems and Control

arXiv:2111.03209 (eess)
[Submitted on 5 Nov 2021]

Title:Controller Reduction for Nonlinear Systems by Generalized Differential Balancing

Authors:Yu Kawano
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Abstract:In this paper, we aim at developing computationally tractable methods for nonlinear model/controller reduction. Recently, model reduction by generalized differential (GD) balancing has been proposed for nonlinear systems with constant input-vector fields and linear output functions. First, we study incremental properties in the GD balancing framework. Next, based on these analyses, we provide GD LQG balancing and GD $H_\infty$-balancing as controller reduction methods for nonlinear systems by focusing on linear feedback and observer gains. Especially for GD $H_\infty$-balancing, we clarify when the closed-loop system consisting of the full-order system and a reduced-order controller is exponentially stable. All provided methods for controller reduction can be relaxed to linear matrix inequalities.
Subjects: Systems and Control (eess.SY); Optimization and Control (math.OC)
Cite as: arXiv:2111.03209 [eess.SY]
  (or arXiv:2111.03209v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2111.03209

Submission history

From: Yu Kawano [view email]
[v1] Fri, 5 Nov 2021 01:27:11 UTC (3,978 KB)
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