An interpolation theory approach to H∞ controller degree bounds

Degree Bounds – An Invitation to Postmodern Invariant Theory–

An Interpolation-Based Approach to the Optimal H∞ Model Reduction

Degree Bounds on Polynomials and Relativization Theory

We demonstrate the applicability of the polynomial degree bound technique to notions such as the nonexistence of Turing-hard sets in some relativized world, (non)uniform gap-definability, and relativized separations. This way, we settle certain open questions of Hemaspaandra, Ramachandran & Zimand [HRZ95] and Fenner, Fortnow & Kurtz [FFK94], extend results of Hemaspaandra, Jain & Vereshchagin [...

Title Stable H ∞ Controller Design for Infinite - Dimensional Systemsvia Interpolation

H∞ control is well appreciated as a powerful design methodology against system uncertainty. It has been playing an important role in the field of robust control. For infinite-dimensional systems such as time-delay systems, H∞ control problems have been under extensive study since the mid-1980s. On the other hand, stable controller design known as strong stabilization is also an important issue ...

Low Order H∞ Controller Design: an Lmi Approach

In this paper, we consider the H∞ controller design problem for both continuous-time and discrete-time linear time-invariant (LTI) systems via low order dynamic output feedback controllers. The existence condition of desired H∞ controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix defining the controller and a Lyapunov matri...