Control law synthesis for distributed multi-agent systems: Application to active clock distribution networks

International audienceIn this paper, the problem of active clock distribution network synchronization is considered. The network is made of identical oscillators interconnected through a distributed array of phase-locked-loops (PLLs). The problem of the PLL network design is reformulated, from a control theory point of view, as a control law design for a distributed multi-agent system. Inspired by the decentralized control law design methodology using the dissipativity input-output approach, the particular topology of interconnected subsystems is exploited to solve the problem by applying a convex optimization approach involving simple Linear Matrix Inequality (LMI) constraints. After choosing the dissipativity properties which is satisfied by the interconnection matrix, the constraints are transformed into an H ∞ norm constraint on a particular transfer function that must be fulfilled for global stability. Additional constraints on inputs and outputs are introduced in order to ensure the desired performance specifications during the H ∞ control design procedure

A piecewise-linear reduced-order model of squeeze-film damping for deformable structures including large displacement effects

This paper presents a reduced-order model for the Reynolds equation for deformable structure and large displacements. It is based on the model established in [11] which is piece-wise linearized using two different methods. The advantages and drawbacks of each method are pointed out. The pull-in time of a microswitch is determined and compared to experimental and other simulation data.Comment: Submitted on behalf of EDA Publishing Association (http://irevues.inist.fr/handle/2042/16838

A comparative study of reduced-order modeling techniques for nonlinear MEMS beams

International audienceThis paper is dedicated to the comparison of three techniques of reduced-order modeling(ROM) that may be applied to MEMS beams subject to nonlinear damping and restoring forces.These methods are compared in terms of simplicity and accuracy, in the static, transient andsteady-state regimes. It is shown that one of the most popular ROM methods may lead todramatically wrong results in the case of single-mode decomposition

Nonlinear Dynamics of MEMS and NEMS

Special Session dans DTIP 2014 (Design, Test, Integration & Packaging of MEMS/MOEMS)Nonlinearity belongs to a shaded area of M/NEMS design; it is omnipresent but poorly understood. Consequently, many M/NEMS designers are very conservative about it and tend to favor designs which avoid nonlinearity rather than take advantage of it. This special session is dedicated to the development of nonlinear modeling/analysis/characterization methods and the use of nonlinearity to enhance the performance of M/NEMS devices. It is our hope that this session will see some fruitful exchanges between members from different domains (from applied mathematicians to circuit/mechanical designers) and help bridge the gap between them

Management of Uncertainty within Estimation in Dynamical Context – Application to MEMS

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A piecewise response surface method for simulating MEMS with uncertain parameters

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Characterization of electrical and mechanical coupling in MEMS gyroscopes with electrical measurements

International audienceWe propose an intuitive way to characterize the parasitic couplings in a weakly-coupled resonator. Here the study is focused on MEMS gyroscopes, one example of coupled resonator. Knowing the value of electrical and mechanical coupling will then allow us to electronically cancel them, and thus to reduce the bias instability of the gyroscope measures