The classical n-port resistive synthesis problem

INTRODUCTION: An n-port resistive network is an n-port circuit consisting of only passive resistors, which is an important class of passive networks. An n-port resistive network is usually characterized by its impedance or admittance matrix. Since there are no reactive elements, passivity and reciprocity imply that the impedance and admittance matrices of n-port resistive networks must be nonnegative definite if they exist [21]. Since no transformers are present, there are further constraints. The realizability problem of n-port resistive networks was an active topic and was widely investigated from the 1950s to the 1970s. Recently, the invention ...postprin

Optimal control for semi-active suspension with inerter

The benefits of the inerter in passive suspension have been well demonstrated. To investigate suspension performances with the inerter in semi-active suspension, eight well studied passive suspension configurations with a parallel connection to a variable shock absorber are analyzed in this paper. By applying the optimal control theory, an optimal solution for each configuration is obtained and numerically solved by the forward/backward sweep method. The result shows that under the considered performance measure, the use of inerter can improve ride comfort in general, where the effect can even be significant for some specific configurations, but has no obvious advantage in road holding and suspension travel performance compared with the conventional semi-active suspension. © 2012 Chinese Assoc of Automati.published_or_final_versio

Semi-active suspension with semi-active inerter and semi-active damper

This paper investigates the application of semi-active inerter in semi-active suspension. A semi-active inerter is defined as an inerter whose inertance can be adjusted within a finite bandwidth by on-line control actions. A force-tracking approach to designing semi-active suspension with a semi-active inerter and a semi-active damper is proposed, where the target active control force derived by LQR control in the 'Reciprocal State-Space' (RSS) framework is tracked by controlling the semi-active damping coefficient and semi-active inertance. One of the advantages of the proposed method is that it is straightforward to use the acceleration information in the controller design. Simulation results demonstrate that the semi-active suspension with a semi-active inerter and a semi-active damper can track the target active control force much better than the conventional semi-active suspension (which only contains a semi-active damper) does. As a consequence, the overall performance in ride comfort, suspension deflection and road holding is improved, which effectively demonstrates the necessity and the benefit of introducing semi-active inerter in vehicle suspension.preprin

Multi-objective optimization for a conventional suspension structure

This paper investigates the multi-objective optimization of ride comfort, suspension deflection and tyre grip performance measures for a conventional suspension structure by deriving the analytical solutions for a quarter-car model. The optimization results are compared with two other configurations, one having the same complexity in construction but employing an inerter while the other being the simplest suspension network with one damper and one spring only. The motivation is to investigate the possibility and situations where the inerter can be replaced by some cheaper element such as the spring. The results show that for a low static stiffness and in the situations that ride comfort is less important than suspension deflection and tyre grip (such as race cars), the considered structure would be a reasonable alternative for the one employing an inerter. © 2012 IEEE.published_or_final_versio

Synthesis of biquadratic impedances with at most four passive elements

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Realization of three-port spring networks with inerter for effective mechanical control

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