PDLF

(redirected from Parameter-Dependent Lyapunov Function)
AcronymDefinition
PDLFPalos De La Frontera
PDLFParameter-Dependent Lyapunov Function
PDLFPlymouth and District Leukaemia Fund (UK)
PDLFProton-Detected Local Field (experiment)
References in periodicals archive ?
Another key issue of the LPV system is to construct parameter-dependent Lyapunov functions to overcome potential conservatism brought by the slowly varying parameters.
Arzelier, "Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions," IEEE Transactions on Automatic Control, vol.
Indeed, less conservative robust stability conditions are given by means of a parameter-dependent Lyapunov function and a slack method for exploiting the algebraic properties of the uncertain Roesser-type discrete-time 2D system (1).
Consider the following parameter-dependent Lyapunov function which is suitable for the uncertain Roesser-type discrete-time 2D system (1):
Then, the variation of the parameter-dependent Lyapunov function V(x(k, l)) could be described as
Indeed, the parameter-dependent Lyapunov function V(x(k, l)) = [x.sup.T](k, l)[P.sub.[alpha][alpha]]x(k, l) is applied in the derivation of our main result and thus the obtained robust stability criteria are less conservative than before.
The problem of robust stability analysis of a class of uncertain Roesser-type discrete-time 2D systems has been addressed by using an efficient parameter-dependent Lyapunov function. In particular, the parameter uncertainties of the underlying 2D system's parameter matrices belong to a convex bounded uncertain domain, which often is named as polytopic uncertainty and appears typically in most practical systems.
The norm-bounding technique [23] is used to derive an offline MPC algorithm based on the parameter-dependent state feedback control law and the parameter-dependent Lyapunov functions.
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