Robin Hill

Exact recursive updating of state uncertainty sets for linear SISO systems

Robin Hill, Yousong Luo, Uwe Schwerdtfeger

Journal article  |  2018  |  Automatica

This paper addresses the classical problem of determining the set of possible states of a linear discrete-time SISO system subject..

Fault detection and identificationA filter investigation

R Khan, P Williams, P Riseborough, A Rao, R Hill

Journal article  |  2018  |  INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

This paper develops a new active fault-tolerant control system based on the concept of analytical redundancy. The novel design pre..

Exact recursive updating of uncertainty sets for discrete-time plants with a lag

R Hill, Y Luo

Conference Proceedings  |  2018  |  2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

In [7] there are new results concerning the poly-topic set of possible states of a linear discrete-time SISO system subject to bou..

Companion matrices and their relations to Toeplitz and Hankel matrices

Yousong Luo, Robin Hill

Journal article  |  2015  |  SPECIAL MATRICES

In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or..

A commutativity relation for submatrices of the inverse of a Sylvester matrix

Yousong Luo, Uwe Schwerdtfeger, Robin Hill

Journal article  |  2012  |  LINEAR ALGEBRA AND ITS APPLICATIONS

We take the inverse of a Sylvester matrix of two coprime polynomials of degree m and study the family of m×m submatrices formed fr..

Exact solutions to a two-block ℓ1 optimal control problem

R Hill, Y Luo, U Schwerdtfeger

Conference Proceedings  |  2012  |  IFAC Proceedings Volumes (IFAC-PapersOnline)

In this paper we illustrate some new ideas in the theory of ℓ1-norm minimisation. A simple looking mathematical programming proble..

Fault tolerant flight control system design for UAV's using Nonlinear Model Predictive Control

R Khan, P Williams, R Hill, C Bil

Conference Proceedings  |  2011  |  Proceedings of the 2011 Australian Control Conference, AUCC 2011

Dynamic programming and duality applied to an optimal control problem

R Hill, U Schwerdtfeger, M Baake, Y Luo

Conference Proceedings  |  2011  |  Proceedings of the 2011 Australian Control Conference, AUCC 2011

Convergence of truncates in l(1) optimal feedback control

Robert Wenczel, Andrew Eberhard, Robin Hill

Book Chapter  |  2009  |  Springer Optimization and Its Applications

Existing design methodologies based on infinite-dimensional linear programming generally require an iterative process often involv..

Dual periodicity in l(1)-norm minimisation problems

Robin D Hill

Journal article  |  2008  |  SYSTEMS & CONTROL LETTERS

The topic of this paper is the discrete-time l1-norm minimisation problem with convolution constraints. We find primal initial con..