Series-parallel mechanical circuit synthesis of a positive-real third-order admittance using at most six passive elements for inerter-based control

Wang, Kai; Chen, Michael Z. Q.; Liu, Fei

doi:10.1016/j.jfranklin.2023.03.027

Cited by 2 publications

(3 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…). A one-port mechanical network (see Figure 4) is defined as being passive, if there exists K ∈ R such that the external force F and relative velocity v of the two terminals satisfy Definition 2 ( [5,25]). For any real-rational function H(s), it is defined as being positive real, if H(s) is analytic and satisfies ℜ(H(s)) ≥ 0 for all ℜ(s) > 0, where ℜ(•) denotes the real part of • ∈ C.…”

Section: Definition 1 ([8]mentioning

confidence: 99%

“…([ 5 , 25 ]) . For any real-rational function

, it is defined as being positive real, if

is analytic and satisfies

for all

, where

denotes the real part of

.…”

Section: Preliminariesmentioning

confidence: 99%

“…With the invention of inerters [ 1 , 2 , 3 ], it is possible to systematically realize any passive mechanical system as the physical interconnection of dampers, springs, inerters, etc., which has motivated the recent investigations on the synthesis of passive networks under low-complexity constraints [ 4 , 5 , 6 , 7 , 8 , 9 ]. Passive mechanical networks containing dampers, springs, and inerters (or called damper–spring–inerter networks) have been widely applied as passive mechanical controllers to many vibration control systems, such as seat suspension systems [ 10 ], beam-type vibration systems [ 11 ], vehicle suspension systems [ 12 , 13 , 14 , 15 , 16 ], vibration absorbers [ 17 , 18 ], bridge vibration systems [ 19 ], wind turbine systems [ 20 ], storage tanks [ 21 , 22 ], building vibration systems [ 23 ], etc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability Analysis and Design of n-DOF Vibration Systems Containing Both Semi-Active and Passive Mechanical Controllers

Wang,

2024

Sensors

Self Cite

View full text Add to dashboard Cite

This paper is concerned with the stability analysis and design of the n-DOF (n-degree-of-freedom) mass-chain vibration systems containing both semi-active and passive mechanical controllers. Based on Lyapunov’s stability theory, sufficient conditions are derived for the n-DOF vibration system containing a semi-active switched inerter and a passive mechanical network with the first-order admittance to be globally asymptotically stable. Furthermore, the optimization designs of a quarter-car vibration control system and a three-storey building vibration system are conducted together with the derived stability results, and the instability cases contradicting the stability conditions are presented for illustration. The optimization and simulation results show that the combination of semi-active and passive mechanical controllers in vibration systems can clearly enhance system performances in comparison with the conventional semi-active or passive control. The novelty of this paper is that the stability problem of a general n-DOF vibration system that simultaneously contains a semi-active controller and a first-order passive controller is investigated for the first time, where such a system combines the advantages of both semi-active and passive mechanical controllers. The investigations and results can provide an essential foundation for further exploring the stability problems of more general systems, and can be applied to the controller designs of many vibration systems in practice.

show abstract

Section: Definition 1 ([8]mentioning

confidence: 99%

“…([ 5 , 25 ]) . For any real-rational function

, it is defined as being positive real, if

is analytic and satisfies

for all

, where

denotes the real part of

.…”

Section: Preliminariesmentioning

confidence: 99%