Experimental Study of Adaptive Sliding Mode Control for Vibration of a Flexible Rectangular Plate

This paper aims to address the intelligent active vibration control problem of a flexible rectangular plate vibration involving parameter variation and external disturbance. An adaptive sliding mode (ASM) MIMO control strategy and smart piezoelectric materials are proposed as a solution, where the controller design can deal with problems of an external disturbance and parametric uncertainty in system. Compared with the current ‘classical’ control design, the proposed ASM MIMO control strategy design has two advantages. First, unlike existing classical control algorithms, where only low intelligence of the vibration control system is achieved, this paper shows that high intelligent of the vibration control system can be realized by the ASM MIMO control strategy and smart piezoelectric materials. Second, the system performance is improved due to two additional terms obtained in the active vibration control system. Detailed design principle and rigorous stability analysis are provided. Finally, experiments and simulations were used to verify the effectiveness of the proposed strategy using a hardware prototype based on NI instruments, a MATLAB/SIMULINK platform, and smart piezoelectric materials.

[1]  Ying Luo,et al.  Fractional order sliding-mode control based on parameters auto-tuning for velocity control of permanent magnet synchronous motor. , 2012, ISA transactions.

[2]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[3]  Shigenori Sano,et al.  Sliding Mode Contouring Control for Biaxial Feed Drive Systems with a Nonlinear Sliding Surface , 2014 .

[4]  Jaroslaw Smoczek,et al.  Fuzzy crane control with sensorless payload deflection feedback for vibration reduction , 2014 .

[5]  Jilei Zhou,et al.  Connections among several chaos feedback control approaches and chaotic vibration control of mechanical systems , 2014, Commun. Nonlinear Sci. Numer. Simul..

[6]  Sergey G. Nersesov,et al.  Finite-time coordination in multiagent systems using sliding mode control approach , 2013, 2013 American Control Conference.

[7]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[8]  Zhicheng Qiu,et al.  Finite Element Modeling and Robust Vibration Control of Two-Hinged Plate Using Bonded Piezoelectric Sensors and Actuators , 2014 .

[9]  Jingyu Yang,et al.  Multi-Objective Optimization of Orientations and Locations of Actuators and Sensors for Structural Shape Control , 2012 .

[10]  Peng-Yung Woo,et al.  An adaptive fuzzy sliding mode controller for robotic manipulators , 2003, IEEE Trans. Syst. Man Cybern. Part A.

[11]  Sangkyung Sung,et al.  Orbit Ephemeris Failure Detection in a GNSS Regional Application , 2015 .

[12]  Liang Huang,et al.  Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material , 2014 .

[13]  Pedro Acosta.  Natural surface design for sliding mode control with multiple discontinuous inputs , 2014, J. Frankl. Inst..

[14]  Aleksandar Simonović,et al.  Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller , 2014 .

[15]  Gang Tao,et al.  An intelligent self-repairing control for nonlinear MIMO systems via adaptive sliding mode control technology , 2014, J. Frankl. Inst..

[16]  Hui Zhang,et al.  Robust H∞ sliding-mode control for Markovian jump systems subject to intermittent observations and partially known transition probabilities , 2013, Syst. Control. Lett..

[17]  Yang Zhao,et al.  Nonlinear analysis and vibration suppression control for a rigid–flexible coupling satellite antenna system composed of laminated shell reflector , 2014 .

[18]  Jingyu Yang,et al.  Orientations and Locations Optimization of Actuators and Sensors for Structural Shape Control , 2012 .

[19]  Jingyu Yang,et al.  ADAPTIVE ITERATIVE LEARNING CONTROL FOR VIBRATION OF FLEXURAL RECTANGULAR PLATE , 2011 .

[20]  Fabio Previdi,et al.  Active Vibration Control over the Flexible Structure of a Kitchen Hood , 2014 .

[21]  Jie Li,et al.  Amplitude control of the track-induced self-excited vibration for a maglev system. , 2014, ISA transactions.

[22]  Yang Shi,et al.  Robust finite frequency H∞ static-output-feedback control with application to vibration active control of structural systems , 2014 .

[23]  Paulo Moura Oliveira,et al.  A swarm intelligence-based tuning method for the Sliding Mode Generalized Predictive Control. , 2014, ISA transactions.

[24]  Zhigang Liu,et al.  Active structural acoustic control of an elastic cylindrical shell coupled to a two-stage vibration isolation system , 2014 .

[25]  Ferruccio Resta,et al.  Vibration control of smart structures using an array of Fiber Bragg Grating sensors , 2014 .

[26]  Quan Hu,et al.  Dynamics and vibration suppression of space structures with control moment gyroscopes , 2014 .

[27]  Mohammad Reza Khosravani,et al.  Unwanted noise and vibration control using finite element analysis and artificial intelligence , 2014 .

[28]  Mohamed Elsayed Aly Abd Elaziz Okasha,et al.  Modeling, Dynamics and Control of Spacecraft Relative Motion in a Perturbed Keplerian Orbit , 2015 .

[29]  Jian Xu,et al.  Beneficial performance of a quasi-zero-stiffness vibration isolator with time-delayed active control , 2014 .