Subspace based direct adaptive \({\mathcal H}_\infty\) control (Q2763368)

This paper presents an extension of the model-free subspace-based \(H_\infty\) control approach. In particular, a fast algorithm for computing a subspace predictor from experimental data is introduced. The paper also describes a fast algorithm for updating the subspace predictor when new experimental data are available. These algorithms can be applied in conjunction with-model free subspace-based \(H_\infty\) control in order to create a novel adaptive control law. A defining feature of this control law is that an estimate of achievable performance is maintained throughout the operation of the closed-loop system. These algorithms are used to demonstrate the closed-loop behaviour for a flexible structure. A simulation for a flexible structure is conducted in order to illustrate the adaptive model-free subspace-based \(H_\infty\) technique on a challenging system.