The paper considers the problem of model reduction for a class of linear parameterdependent (LPD) systems. Three model reduction approaches: balanced truncation, balanced LQG truncation and gain-scheduledH∞ model reduction, are presented to reduce the dimension of LPD systems. For the former two approaches, conditions to proceed the reduction are given in terms of a finite number of linear matr...

Abstract: This paper considers Proportional–Integral–Plus (PIP) control of nonlinear dynamic systems described by State Dependent Parameter (SDP) models with constraints. More specifically, a low level stabilising SDP/PIP controller is first developed to steer the system in the desired direction, whilst a Reference Governor (RG) is subsequently introduced to account for constraints in the syste...

Abstract. Performance predictions based on design documents aim at improving the quality of software architectures. In component-based architectures, it is difficult to specify the performance of individual components, because it depends on the deployment context of a component, which may be unknown to its developers. The way components are used influences the perceived performance, but most pe...

—Multigrid methods for parameter dependent problems are discussed* The contraction numbers ofthe algoriîhms are proved within a unifying framework to be bounded awayfrom one, independent ofthe parameter and the mesth levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Tïmoshenko béant problem, and the Reissner-Mindlin plate p...

This dissertation considers the application of recent robust control techniques to parameter-dependent mechanical systems. Particular emphasis is placed on the study of exible dynamic systems that possess lightly-damped, parameter-dependent, resonances at frequencies that are within the bandwidth of the controller. A detailed examination of an example system, highlighting the complexities assoc...

In this paper we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. An extension to L approximate observability of families of linear systems is derived, too. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state...

We consider the problem of averaged controllability for parameter depending (either in a discrete or continuous fashion) control systems, the aim being to find a control, independent of the unknown parameters, so that the average of the states is controlled. We do it in the context of conservative models, both in an abstract setting and also analysing the specific examples of the wave and Schrö...

The paper considers a linear matrix inequality (LMI) that depends on a parameter varying in a compact topological space. It turns out that if a strict LMI continuously depends on a parameter and is feasible for any value of that parameter, then it has a solution which continuously depends on the parameter. The result holds true for LMIs that arise in S-procedure and Yakubovich lemma. It is show...

in this study an empirical model which can be used to predict the rutting parameter (g*/sinδ) for neat and powder rubber modified bitumen describes. the model was developed using 36 unique powder rubber modified bitumen combinations, rubber concentrations were varied at 5% intervals between 5 and 20%. the effects of powder rubber particle size on model accuracy were also studied ultimately a mo...