Optimal design for fractional-order active isolation system

Huh, You; Shen, Yongjun; Yang, Shaopu

doi:10.1177/1687814015622594

Cited by 2 publications

(3 citation statements)

References 26 publications

(43 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fractional-order derivatives in the system can be replaced by integer-order counterpart, when the vehicle is running on a sine surface. 22 In order to use optimal control theory to find the explicit form of the optimal control force, equation (1) should be rewritten as the state equation. Considering state vector as and the output vector the system state equation can be obtained as where …”

Section: The Solution Of Optimal Control Forcementioning

confidence: 99%

See 1 more Smart Citation

Optimal control and parameters design for the fractional-order vehicle suspension system

Huh

Shen

Xing

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

View full text Add to dashboard Cite

In this paper the optimal control and parameters design of fractional-order vehicle suspension system are researched, where the system is described by fractional-order differential equation. The linear quadratic optimal state regulator is designed based on optimal control theory, which is applied to get the optimal control force of the active fractional-order suspension system. A stiffness-damping system is added to the passive fractional-order suspension system. Based on the criteria, i.e. the force arising from the accessional stiffness-damping system should be as close as possible to the optimal control force of the active fractional-order suspension system, the parameters of the optimized passive fractional-order suspension system are obtained by least square algorithm. An Oustaloup filter algorithm is adopted to simulate the fractional-order derivatives. Then, the simulation models of the three kinds of fractional-order suspension systems are developed respectively. The simulation results indicate that the active and optimized passive fractional-order suspension systems both reduce the value of vehicle body vertical acceleration and improve the ride comfort compared with the passive fractional-order suspension system, whenever the vehicle is running on a sinusoidal surface or random surface.

show abstract

Section: The Solution Of Optimal Control Forcementioning

confidence: 99%

“…The closer f ¼ u Ã À u 0 j j gets to zero, the better the performance of optimized passive vehicle suspension system will be. Substituting equation (22) and equation (24) into f, the following equation can be obtained…”

Section: Oustaloup Filter Algorithm Of Fractional-order Derivativesmentioning

confidence: 99%

Optimal control and parameters design for the fractional-order vehicle suspension system

Huh

Shen

Xing

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

View full text Add to dashboard Cite

show abstract

“…Leung et al [14] raised the residue harmonic balance approach to solve the fractional-order van der Pol (VDP) system and the higher-order approximate solution could be deduced according to this method. You et al [15] studied the optimal control of a fractional-order vehicle suspension system, and the viscoelastic characteristics of the vehicle suspension system were investigated. Shen et al [16] studied the fractional-order PID controller on a non-smooth oscillator and found the fractional-order PID controller was better than the traditional PID controller.…”

Section: Introductionmentioning

confidence: 99%

Dynamical response of fractional-order nonlinear system with combined parametric and forcing excitation

Xing¹,

Xiao²,

Song³

et al. 2018

J. vibroeng.

View full text Add to dashboard Cite

A dynamical analysis of a Mathieu-van der Pol-Duffing nonlinear system with fractional-order derivative under combined parametric and forcing excitation is studied in this paper. The approximate analytical solution is researched for 1/2 sub harmonic resonance coupled with primary parametric resonance based on the improved averaging approach. The steady-state periodic solution including its stability condition is established. The equivalent linear stiffness coefficient (ELDC) and equivalent linear damping coefficient (ELSC) for this nonlinear fractional-order oscillator are defined. Then, the numerical simulations are presented in three typical cases by iterative algorithms. The time history, phase portrait, FFT spectrum and Poincare maps are shown to explain the system response. Some different responses, such as quasi-periodic, multi-periodic and single periodic behaviors are observed and investigated. The results of comparisons between the numerical solutions and the approximate analytical solutions in three typical cases show the correctness of the analytical solutions. The influences of the fractional-order parameters on the system dynamical response are researched based on the ELDC and ELSC. Through analysis, it could be found that the increase of the fractional-order coefficient would result in the rightward and downward movements of the amplitude-frequency curves. The increase of the fractional-order coefficient will also move the bifurcation point rightwards and will make the existing range of steady-state solution larger. It could also be found that the ELSC will become larger and ELDC smaller when the fractional order is closer to zero, so that the decrease of the fractional order would make the response amplitude larger. At last, the detailed conclusions are summarized, which is beneficial to design and control this kind of fractional-order nonlinear system.

show abstract

Optimal design for fractional-order active isolation system

Cited by 2 publications

References 26 publications

Optimal control and parameters design for the fractional-order vehicle suspension system

Optimal control and parameters design for the fractional-order vehicle suspension system

Dynamical response of fractional-order nonlinear system with combined parametric and forcing excitation

Contact Info

Product

Resources

About