A New Method for Extracting an Optimal Sliding Surface and Its Application to Control of a Quarter Car Active Suspension System

Authors

1 Tehran- narmak- iran university of science & technology

2 استاد، دانشگاه علم و صنعت ایران

Abstract

In this paper, a new method for extracting sliding surface has been presented about a linear system with parametric uncertainties with known bound. In the proposed method, common signal of first order sliding mode control has been applied to the system and then the sliding surface is extracted as a virtual controller with the aim of minimizing a cost function. The main advantage of the proposed method is the possibility of setting the distance of the state trajectory from the sliding surface setting one of the design parameters. Thus, It is possible to near the ultimate goal of sliding mode control, i.e. staying the state trajectory on the sliding surface, without increasing the degree of sliding mode control, while the amount of used energy will be controlled, too. In order to show the efficiency of the method, a quarter car active suspension system has been chosen and the proposed method in the selection of position subsystem sliding surface is used.

Keywords

Main Subjects

References

[1] Yugang N, Yonghui L, Tinggang J (2012) Reliable control of stochastic systems via sliding mode technique. Optim Control Appl Meth 34: 712–727.
[2]   Bei C ,Yugang N, Yuanyuan Z, Tinggang J (2013) Reliable sliding-mode control for markovian jumping systems subject to partial actuator degradation. Circuits Syst Signal Process 32: 601–614.
[3]   Bei C, Yugang N, Yuanyuan Z (2013) Adaptive sliding mode control for stochastic markovian jumping systems with actuator degradation. Automatica 49: 1748–1754.
[4]   Boban V, Branislava D, Čedomir M (2014)  Sliding manifold design for linear systems with unmatched disturbances. J Frankl Inst 351: 1920–1938.
[5]   Jeen L, Ruey-Jing L, Chung-Neng H, Wun-Tong S (2009) Enhanced fuzzy sliding mode controller for active suspension systems. Mechatronics 19: 1178–1190.
[6]   Nurkan Y, Yuksel H, Yener T (2008) Fuzzy sliding-mode control of active suspensions. IEEE T Ind Electron 55(11): 3883–3890.
[7]   Wijaya AA, Wahyudi, Akmeliawati R, Darsivan FJ (2011) Natural logarithm sliding mode control (ln-SMC) using EMRAN for active engine mounting system. 11th Int Conf Control, Automation, Robotics and Vision, Singapore. 1365–1369.
[8]   Yon-ping C, Jeang-lin C (2010) A new method for constructing sliding surfaces of linear time-invariant systems. Int J Syst Sci 31(4): 417–420.
[9]   Fulwani D, Bandyopadhyay B, Fridman L (2011) Non-linear sliding surface: towards high performance robust control. IET Control Theory Appl 1–8.
[10]Ren C, Wang L, Zhang C, Liu L (2010) Variable structure model following control for dual-input active suspension. Proc. ICIECS, China.
[11]Song H, Qiu W, Wang E (2010) The sliding model-following control for semi-active MR-vehicle suspension. Proc. ICNSC, Chicago.  
[12]Assadsangabi B, Eghtesad M, Daneshmand F, Vahdati N (2009) Hybrid sliding mode control of semi-active suspension systems. Smart Mater Struct 18: 1–10.
[13]Zahiripour S, Jalali A (2013) Improving hybrid model reference sliding mode control of a car active suspension system using optimum turn of sliding surfaces and fuzzy logic. Aerospace Mechanics Journal 9: 79–87.
[14]Zhang BL, Tang GY, Cao FL (2009) Optimal sliding mode control for active suspension systems. Proc. ICNSC, Okayama, Japan 351–356.
[15]Ch´avez-Conde E, Beltr´an-Carbajal F, Blanco-Ortega A, M´endez-Az´ua H (2009) Sliding mode and generalized pi control of vehicle active suspensions. Proc. ISIC, Petersburg 1726–1731.
[16]Xiang J, Hongye S (2007) A class of proportional-integral sliding mode control with application to active suspension system. Syst Control Lett 56: 253–254.
[17]Sanchez-Torres JD, Loukianov AG, Galicia MI, Ruiz J, Rivera J (2011) ABS and active suspension control via high order sliding modes and linear geometric methods for disturbance rejection. Proc.  CCE 1–6.
[18]Toyama1 S, Ikeda F, Sorimachi Y (2008) A second-order sliding mode controller for active suspension systems. Proc. ICCAS 18–23.
Journal of Solid and Fluid Mechanics
Volume 5, Issue 2 - Serial Number 2
July and August 2015
Pages 1-15

Files

Share

How to cite

Statistics