Zobrazeno 1 - 10
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pro vyhledávání: '"Heath, William P."'
Autor:
Heath, William P., Carrasco, Joaquin
Multipliers can be used to guarantee both the Lyapunov stability and input-output stability of Lurye systems with time-invariant memoryless slope-restricted nonlinearities. If a dynamic multiplier is used there is no guarantee the closed-loop system
Externí odkaz:
http://arxiv.org/abs/2403.12251
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 the frequency interval approach. The condition has a simple graphical in
Externí odkaz:
http://arxiv.org/abs/2109.00744
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 functions. Stability can be established using a sub-class of the Zames-Fa
Externí odkaz:
http://arxiv.org/abs/2009.09366
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 they lead to numerically efficient results that can be computed either in
Externí odkaz:
http://arxiv.org/abs/2008.11975
Autor:
Petsagkourakis, Panagiotis, Heath, William P., Carrasco, Joaquin, Theodoropoulos, Constantinos
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 through the construction of integral quadratic constraints (IQCs). The IQCs
Externí odkaz:
http://arxiv.org/abs/1903.03154
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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 (FIR) multipliers. The set of FIR multipliers is complete in that any I
Externí odkaz:
http://arxiv.org/abs/1812.02397
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 variables. Nonlinear MPC can utilize detailed models but it is comput
Externí odkaz:
http://arxiv.org/abs/1808.00307
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-time multipliers given by Megretski is generalised and its applicability
Externí odkaz:
http://arxiv.org/abs/1704.02484