Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties

2025/06/14 by Ariany C. de Oliveira, Oliveira, Ariany C., Víctor Costa da Silva Campos +3
Engineering · #Advanced Control Systems Optimization #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2506.12476

openalex publication_date 2025/06/14 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively provides an estimate for the gain-scheduling implementation. Conservativeness is reduced using our recent results on describing uncertainty: i) a structural relaxation that casts the parameters as outer terms and introduces slack variables; and ii) a precise topological representation that describes the mismatch between the uncertainty and its estimate. Numerical examples illustrate a high degree of relaxation in comparison with the state-of-the-art.

Citations

• An LMI-Based Algorithm to Compute Robust Stabilizing Feedback Gains Directly as Optimization Variables
• On computational issues for stability analysis of LPV systems using parameter dependent Lyapunov functions and LMIs

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