Coordinating optimization-based sliding mode variable structure control for electro-hydraulic servo system

A sliding mode variable structure control (SMVSC) based on a coordinating optimization algorithm has been developed. Steady state error and control switching frequency are used to constitute the system performance indexes in the coordinating optimization, while the tuning rate of boundary layer width (BLW) is employed as the optimization parameter. Based on the mathematical relationship between the BLW and steady-state error, an optimized BLW tuning rate is added to the nonlinear control term of SMVSC. Simulation experiment results applied to the positioning control of an electro-hydraulic servo system show the comprehensive superiority in dynamical and static state performance by using the proposed controller is better than that by using SMVSC without optimized BLW tuning rate. This succeeds in coordinately considering both chattering reduction and high-precision control realization in SMVSC.

[1]  Peter J. Fleming,et al.  Multiobjective optimization and multiple constraint handling with evolutionary algorithms. I. A unified formulation , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[2]  Z Xu ALMOST SURE STRONG CONVERGENCE OF A CLASS OF GENETIC ALGORITHMS WITH PARENT-OFFSPRINGS COMPETITION , 2002 .

[3]  Masayoshi Tomizuka,et al.  A state-dependent boundary layer design for sliding mode control , 2002, IEEE Trans. Autom. Control..

[4]  Feng Yon Chattering reduction using a time - varying boundary layer in a class of nonlinear variable structure systems , 1999 .

[5]  Wu Linzhi,et al.  The non-local theory solution of a Griffith crack in functionally graded materials subjected to the harmonic anti-plane shear waves , 2007 .

[6]  Giorgio Bartolini,et al.  An improved, chattering free, VSC scheme for uncertain dynamical systems , 1996, IEEE Trans. Autom. Control..

[7]  Johan Andersson,et al.  Multiobjective optimization in engineering design : applications to fluid power systems , 2001 .

[8]  Xinghuo Yu,et al.  Design of variable structure controllers with continuous switching control , 1996 .

[9]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[10]  H. E. Merritt,et al.  Hydraulic Control Systems , 1991 .

[11]  Masayoshi Tomizuka,et al.  Chattering reduction and error convergence in the sliding-mode control of a class of nonlinear systems , 1996, IEEE Trans. Autom. Control..

[12]  Tu Chun MULTI-OBJECTIVE OPTIMAL DESIGN OF PASSIVE POWER FILTERS , 2002 .