Aalborg Universitet H / H 2 model reduction through dilated linear matrix inequalities

H∞/H2 Model Reduction Through Dilated Linear Matrix Inequalities ?

This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...

Aalborg Universitet Comments on the article by Jinha et al . ‘ ‘ A task - specific validation of homogeneous non - linear optimisation approaches

An Investigation into Virtual Representations of Real Places

1 Aalborg Universitet, Aalborg – Denmark, Computer Vision and Media Technology Laboratory 2 The Hebrew University of Jerusalem, Israel, School of Computer Science and Engineering 3 Czech Technical University in Prague Centre for Machine Perception (CMP), Department of Cybernetics 4 Napier University, Edinburgh, School of Computing 5 Universität Bremen, Institute for Brain Research 6 Aalborg Uni...

H∞ Model Reduction of Linear Continuous-time Systems over Finite Frequency Interval-LMI based Approach

This paper studies the model reduction problem for linear continuous-time systems over finite frequency interval. Different form the existing methods in the literature, we resort the problem to the aid of recently developed Generalized Kalman-Yakubovich-Popov (GKYP) lemma. A finite frequency H∞ model reduction design method is presented in terms of solutions to a set of linear matrix inequaliti...

Solving Path Following Problem for Car-Like Robot in the Presence of Sliding Effect via LMI Formulation

One of the main problems of car-like robot is robust path following in the presence of sliding effect. To tackle this problem, a robust mix H2/H∞ static state feedback control method is selected. This method is the well-known linear robust controller which is robust against external disturbance as well as model uncertainty. In this paper, the path following problem is formulated as linear matri...