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

Minimal realizations of three-port resistive networks

published_or_final_versio

Realization of biquadratic impedances with at most four elements

This paper considers the realizability problem of biquadratic impedances with at most four elements. To solve the problem, the necessary and sufficient realizability condition for no more than three elements is obtained by some topological properties derived previously. Furthermore, the constraints on the possible realizations are used to find out the networks which can cover all the cases, and they are classified as several quartets. Finally, investigating one of the networks in each quartet yields the necessary and sufficient condition for a network to be realized with at most four elements.published_or_final_versio

Robust semi-global coordinated tracking of linear multi-agent systems with input saturation

postprin

On stabilizability of nonlinearly parameterized discrete-time systems

published_or_final_versio

Generalized series-parallel RLC synthesis without minimization for biquadratic impedances

published_or_final_versio

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

Event-triggered Control For Semi-global Stabilisation Of Systems With Actuator Saturation

This paper investigates the problem of event-triggered control for semi-global stabilisation of null controllable systems subject to actuator saturation. First, for a continuous-time system, novel event-triggered low-gain control algorithms based on Riccati equations are proposed to achieve semi-global stabilisation. The algebraic Riccati equation with a low-gain parameter is utilised to design both the event-triggering condition and the linear controller; a minimum inter-event time based on the Riccati ordinary differential equation is set a priori to exclude the Zeno behaviour. In addition, the high-low-gain techniques are utilised to extend the semi-global results to event-based global stabilisation. Furthermore, for a discrete-time system, novel low-gain and high–low-gain control algorithms are proposed to achieve event-triggered stabilisation. Numerical examples are provided to illustrate the theoretical results.postprin

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

Stabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time input-saturated network synchronization

published_or_final_versio