A projected gradient flow controller is shown to stabilize polytopic LPV systems under fast parameter variations and to converge to the LQR-optimal gain for constant parameter trajectories, provided a feasible gain box exists.
Analysis and design of gain scheduled control systems,
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Dynamic State-Feedback Control for LPV Systems: Ensuring Stability and LQR Performance
A projected gradient flow controller is shown to stabilize polytopic LPV systems under fast parameter variations and to converge to the LQR-optimal gain for constant parameter trajectories, provided a feasible gain box exists.