35 citations · 84 across the 6 of their papers we have counts for
7 papers
Phase limitations of multipliers at harmonics
William Paul Heath, Joaquin Carrasco, Jingfan Zhang
We present a phase condition under which there is no suitable multiplier for a given continuous-time plant. The condition can be derived from either the duality approach or from th…
Multipliers for nonlinearities with monotone bounds
William P. Heath, Joaquin Carrasco, Dmitry A. Altshuller
We consider Lurye (sometimes written Lur'e) systems whose nonlinear operator is characterised by a possibly multivalued nonlinearity that is bounded above and below by monotone fun…
Duality bounds for discrete-time Zames-Falb multipliers
Jingfan Zhang, Joaquin Carrasco, William Heath
We develop phase limitations for the discrete-time Zames-Falb multipliers based on the separation theorem for Banach spaces. By contrast with their continuous-time counterparts the…
Input-Output Stability of Barrier-Based Model Predictive Control
Panagiotis Petsagkourakis, William P. Heath, Joaquin Carrasco +1
Conditions for input-output stability of barrier-based model predictive control of linear systems with linear and convex nonlinear (hard or soft) constraints are established throug…
Convex searches for discrete-time Zames-Falb multipliers
Joaquin Carrasco, William P. Heath, Nur Syazreen Ahmad +2
In this paper we develop and analyse convex searches for Zames--Falb multipliers. We present two different approaches: Infinite Impulse Response (IIR) and Finite Impulse Response (…
Stability Analysis of Piecewise Affine Systems with Multi-model Model Predictive Control
Panagiotis Petsagkourakis, William P. Heath, Constantinos Theodoropoulos
Constrained model predictive control (MPC) is a widely used control strategy, which employs moving horizon-based on-line optimisation to compute the optimum path of the manipulated…
Phase limitations of Zames-Falb multipliers
Shuai Wang, Joaquin Carrasco, William P. Heath
Phase limitations of both continuous-time and discrete-time Zames-Falb multipliers and their relation with the Kalman conjecture are analysed. A phase limitation for continuous-tim…