Numerical Methods for H 2 Related Problems

TL;DR: Data-driven analysis, signal processing, and control methods as mentioned in this paper can be broadly classified as implicit and explicit approaches, with the implicit approach being more robust to uncertainty and robustness to noise.

TL;DR: This article establishes exponential stability for the ordinary differential equation (ODE) that governs the gradient-flow dynamics over the set of stabilizing feedback gains and shows that a similar result holds for the gradient descent method that arises from the forward Euler discretization of the corresponding ODE.

TL;DR: In this article, an improved dynamic model along with a dynamic-less state-feedback Linear Parameter Vary-Vary (LVPV) is presented for the NATA platform.

TL;DR: In this paper, the problem of determining the worst-case H2 performance of a control system subject to linear time-invariant uncertainties is considered and a set of upper bounds on the performance is derived, based on the theory of stability multipliers and the solution of an original optimal control problem.

TL;DR: It is shown that in the state-feedback case one can come arbitrarily close to the optimal (even over full information controllers) mixed H/sub 2//H/sub infinity / performance measure using constant gain state feedback.

TL;DR: It is shown that solvability of various output feedback design problems is implied by existence of a solution to a certain constrained Lyapunov problem (CLP), and the CLP can be stated in purely algebraic terms.

TL;DR: In this paper, the authors show that solvability of various output feedback design problems is equivalent to existence of a solution to a Constrained Lyapunov Problem (CLP).

TL;DR: An interior point algorithm for computing the upper bound for the structured singular value described in [1] was described in this paper. But this algorithm is not suitable for the case of complex structures.