Research on semi-active control method of a building structure based on non-smooth control
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摘要
This study investigates the effectiveness of the non-smooth semi-active control algorithm on suppressing the vibration performance of a building structure subjected to seismic waves. According to the Lyapunov stability theory, it has bene proven that the non-smooth semi-active control algorithm can achieve a finite-time stability of the vibration relative to the isolation layer of a building structure. Through numerical simulation of two buildings with different parameters subjected to the input of a seismic wave, the vibration conditions of passive control, LQR semi-active control and non-smooth semiactive control are compared and analyzed. The simulation results show that the non-smooth semi-active control algorithm has a better robustness and effectiveness in restraining the impact of earthquakes on the structure.
This study investigates the effectiveness of the non-smooth semi-active control algorithm on suppressing the vibration performance of a building structure subjected to seismic waves. According to the Lyapunov stability theory, it has bene proven that the non-smooth semi-active control algorithm can achieve a finite-time stability of the vibration relative to the isolation layer of a building structure. Through numerical simulation of two buildings with different parameters subjected to the input of a seismic wave, the vibration conditions of passive control, LQR semi-active control and non-smooth semiactive control are compared and analyzed. The simulation results show that the non-smooth semi-active control algorithm has a better robustness and effectiveness in restraining the impact of earthquakes on the structure.
This study investigates the effectiveness of the non-smooth semi-active control algorithm on suppressing the vibration performance of a building structure subjected to seismic waves. According to the Lyapunov stability theory, it has bene proven that the non-smooth semi-active control algorithm can achieve a finite-time stability of the vibration relative to the isolation layer of a building structure. Through numerical simulation of two buildings with different parameters subjected to the input of a seismic wave, the vibration conditions of passive control, LQR semi-active control and non-smooth semiactive control are compared and analyzed. The simulation results show that the non-smooth semi-active control algorithm has a better robustness and effectiveness in restraining the impact of earthquakes on the structure.
引文
Aldem U,Bak M and Glu I(2000),“Semi-Active Control of Earthquake-Excited Structures,”Turkish Journal of Engineering&Environmental Sciences,24(4):237?246.
Battaini M,Casciati F and Faravelli L(1998),“Fuzzy Control of Structural Vibration.An Active Mass System Driven by a Fuzzy Controller,”Earthquake Engineering&Structural Dynamics,27(11):1267?1276.
Bhat S and Bernstein D(1997),“Finite-Time Stability of Homogeneous Systems,”Proceedings of the American Control Conference,Albuquerque,6 June 1997,pp.2513?2514.
Cui J,Ma Y,He Z,et al.(2016),“Earthquake Simulation with Shaking Table Test of a Super High-Rise Building with Irregular Horizontal Stiffness,”Journal of Engineering of Heilongjiang University,7(7):1?8.
GB 20688.1-2007(2007),Rubber Bearings:Part 1,Seismic-Protection Isolators Test,Beijing:Standards Press of China.(in Chinese)
Guo X,GuoI XN and Sheng HY(2006),“Interlayer Seismic Isolation Analysis of Shear-Frame Structure,”Journal of Hefei University of Technology,29(10):1278?1281.(in Chinese)
Hu H,Guo D and Weng J(2001),“Recent Advances in Semi-Active Control of Vibration,”Journal of Vibration,Measurement&Diagnosis,21(4):235?244.(in Chinese)Huang J and Zhao B(2000),“The Nonlinear Dynamic Response of Multistory Base Isolated Building with Laminated Rubber Bearings,”Journal of Xi’an University of Science and Technology,20(4):317?321.(in Chinese)
Jin J,Chen P,Tan P,et al.(2017),“Study on the Effect of P-ΔEffects on Seismic Response of Base Isolation structure,”South China Journal of Seimology,37(2):58?64.(in Chinese)
Jin J,Tan P,Chen P,et al.(2016a),“Shaking Table Test Study on Mid-Story Isolation Structures with Viscous Dampers,”South China Journal of Seimology,36(4):91?96.(in Chinese)
Jin J,Tan P,Zhou F,et al.(2016b),“Study on the Effect of Modified Bilinear Model on Seismic Response of Isolated Structures,”Journal of Xian University of Architecture&Technology,48(2):183?187.(in Chinese)Kelly J(1993),Earthquake-Resistant Design with Rubber,Springer press London.
Li G,Li J and Su X(2007),Seismic Design of Building Structures(Second Edition),China Building Industry Press.(in Chinese)
Li X and Wang B(2015),“Research on Lnear Quadratic Iterative Learning Control(LQILC)for Seismic Responses of Cable-Stayed Bridge,”Earthquake Engineering and Engineering Dynamics,35(1):174?182.(in Chinese)
Liu H,Ding S,Li S and Chen X(2009),“Finite-Time Control of PSPM Position Servo System,”Electric Machines and Control,13(3):424?430.(in Chinese)
Liu M,Tian X,Wang D,et al.(2006),“Research and Application of Building Structure Base Isolation Technology,”Technology for Earthquake Disaster Prevention,1(1):31?38.(in Chinese)
Lu X,Gong Z,Weng D,et al.(2007),“The Application of a New Structural Control Concept for Tall Building with Large Podium Structure,”Engineering Structures,29(8):1833?1844.
Ma K(2012),“Design of Continuous Non-Smooth Attitude Control Laws for Spacecraft,”Journal of Astronautics,33(6):713?719.(in Chinese)
Ma K(2013),“Non-Smooth Design and Implementation of High-Precision Guidance Laws,”Journal of Ballistics,25(2):1?5.(in Chinese)
Ou J(2003),Structural Vibration Control-Active,SemiActive and Intelligent Control,Beijing:Science Press.(in Chinese)
Shen C,Tan P,Cui J,et al.(2016a),“Critical TensionShear Load of Elastomeric Seismic Isolators:An Experimental Perspective,”Engineering Structures,121:42?51.
Shen C,Tan P,Cui J,et al.(2016b),“Research on Mechanical Model of a New Type Anti-Tension Device,”Earthquake Engineering and Engineering Dynamics,36(4):70?78.
Skinner R,Robinson W and Verry G(1996),An Introduction to Seismic Isolation,Beijing:Seismological Press.(in Chinese)
Tan P,Zhang Y,Li X,et al.(2017),“Experimental Investigation of Mega-Sub Isolation Structure,”Structural Design of Tall&Special Buildings,DOI:10.1002/tal.1360.
Tan P and Zhou F(2008),“Research and Application of Seismic Isolation System for Civil Engineering Structures,”Construction Technology,37(10):5?8.(in Chinese)
Tang J and Liu Z(1993),Isolated Structure Design,Wuhan:Huazhong University of Science and Technology Press.(in Chinese)
Wang JH,Liu Z,Chen C and Zhang Y(2017),“Fuzzy Adaptive Compensation Control of Uncertain Stochastic Nonlinear Systems with Actuator Failures and Input Hysteresis,”IEEE Transactions on Cybernetics,DOI:10.1109/TCYB.2017.2758025.
Wang JH,Wang Q and Ma K(2016a),“Non-Smooth Controller Design for Permanent Magnet Synchronous Motors,”Computer Simulation,03:227?230,263.(in Chinese)
Wang JH,Wang Q and Zhang L(2016b),“Design of Non-Smooth Synchronous Control Method for Stage Lifting Machinery,”International Conference on Information Science and Control Engineering,IEEEComputer Society,943?947.
Wang Q,Wang J and Ma K(2016c),“Non-Smooth Control for Structural Vibration Control and Its Applications,”Earthquake Engineering and Engineering Dynamics,36(05):207?214.(in Chinese)
Yang J,Li Z and Vongchavalitkul S(1994),“Generalization of Optimal Control Theory:Linear and Nonlinear Control,”Journal of Engineering Mechanics,120(2):266?283.
Yang J,Wu JC et al.(1995),“Hybrid Control of SeismicExcited Bridge Structures,”Earthquake Engineering and Structural Dynamics,24(11):1437?1451.(in Chinese)
Zhou F(1997),Engineering Structure Vibration Control,Beijing:Seismological Press.(in Chinese)
Zhou F,Tan P,Xian Q,et al.(2006),“Research and Application of Seismic Isolation System for Building Structures,”Research and Application of Seismic Isolation System for Building Structures,23(2):1?8.
Zhou F,Zhang Y and Tang P(2009),“Theoretical Study on Story Isolation System,”China Civil Engineering Journal,42(8):1?8.(in Chinese)
Battaini M,Casciati F and Faravelli L(1998),“Fuzzy Control of Structural Vibration.An Active Mass System Driven by a Fuzzy Controller,”Earthquake Engineering&Structural Dynamics,27(11):1267?1276.
Bhat S and Bernstein D(1997),“Finite-Time Stability of Homogeneous Systems,”Proceedings of the American Control Conference,Albuquerque,6 June 1997,pp.2513?2514.
Cui J,Ma Y,He Z,et al.(2016),“Earthquake Simulation with Shaking Table Test of a Super High-Rise Building with Irregular Horizontal Stiffness,”Journal of Engineering of Heilongjiang University,7(7):1?8.
GB 20688.1-2007(2007),Rubber Bearings:Part 1,Seismic-Protection Isolators Test,Beijing:Standards Press of China.(in Chinese)
Guo X,GuoI XN and Sheng HY(2006),“Interlayer Seismic Isolation Analysis of Shear-Frame Structure,”Journal of Hefei University of Technology,29(10):1278?1281.(in Chinese)
Hu H,Guo D and Weng J(2001),“Recent Advances in Semi-Active Control of Vibration,”Journal of Vibration,Measurement&Diagnosis,21(4):235?244.(in Chinese)Huang J and Zhao B(2000),“The Nonlinear Dynamic Response of Multistory Base Isolated Building with Laminated Rubber Bearings,”Journal of Xi’an University of Science and Technology,20(4):317?321.(in Chinese)
Jin J,Chen P,Tan P,et al.(2017),“Study on the Effect of P-ΔEffects on Seismic Response of Base Isolation structure,”South China Journal of Seimology,37(2):58?64.(in Chinese)
Jin J,Tan P,Chen P,et al.(2016a),“Shaking Table Test Study on Mid-Story Isolation Structures with Viscous Dampers,”South China Journal of Seimology,36(4):91?96.(in Chinese)
Jin J,Tan P,Zhou F,et al.(2016b),“Study on the Effect of Modified Bilinear Model on Seismic Response of Isolated Structures,”Journal of Xian University of Architecture&Technology,48(2):183?187.(in Chinese)Kelly J(1993),Earthquake-Resistant Design with Rubber,Springer press London.
Li G,Li J and Su X(2007),Seismic Design of Building Structures(Second Edition),China Building Industry Press.(in Chinese)
Li X and Wang B(2015),“Research on Lnear Quadratic Iterative Learning Control(LQILC)for Seismic Responses of Cable-Stayed Bridge,”Earthquake Engineering and Engineering Dynamics,35(1):174?182.(in Chinese)
Liu H,Ding S,Li S and Chen X(2009),“Finite-Time Control of PSPM Position Servo System,”Electric Machines and Control,13(3):424?430.(in Chinese)
Liu M,Tian X,Wang D,et al.(2006),“Research and Application of Building Structure Base Isolation Technology,”Technology for Earthquake Disaster Prevention,1(1):31?38.(in Chinese)
Lu X,Gong Z,Weng D,et al.(2007),“The Application of a New Structural Control Concept for Tall Building with Large Podium Structure,”Engineering Structures,29(8):1833?1844.
Ma K(2012),“Design of Continuous Non-Smooth Attitude Control Laws for Spacecraft,”Journal of Astronautics,33(6):713?719.(in Chinese)
Ma K(2013),“Non-Smooth Design and Implementation of High-Precision Guidance Laws,”Journal of Ballistics,25(2):1?5.(in Chinese)
Ou J(2003),Structural Vibration Control-Active,SemiActive and Intelligent Control,Beijing:Science Press.(in Chinese)
Shen C,Tan P,Cui J,et al.(2016a),“Critical TensionShear Load of Elastomeric Seismic Isolators:An Experimental Perspective,”Engineering Structures,121:42?51.
Shen C,Tan P,Cui J,et al.(2016b),“Research on Mechanical Model of a New Type Anti-Tension Device,”Earthquake Engineering and Engineering Dynamics,36(4):70?78.
Skinner R,Robinson W and Verry G(1996),An Introduction to Seismic Isolation,Beijing:Seismological Press.(in Chinese)
Tan P,Zhang Y,Li X,et al.(2017),“Experimental Investigation of Mega-Sub Isolation Structure,”Structural Design of Tall&Special Buildings,DOI:10.1002/tal.1360.
Tan P and Zhou F(2008),“Research and Application of Seismic Isolation System for Civil Engineering Structures,”Construction Technology,37(10):5?8.(in Chinese)
Tang J and Liu Z(1993),Isolated Structure Design,Wuhan:Huazhong University of Science and Technology Press.(in Chinese)
Wang JH,Liu Z,Chen C and Zhang Y(2017),“Fuzzy Adaptive Compensation Control of Uncertain Stochastic Nonlinear Systems with Actuator Failures and Input Hysteresis,”IEEE Transactions on Cybernetics,DOI:10.1109/TCYB.2017.2758025.
Wang JH,Wang Q and Ma K(2016a),“Non-Smooth Controller Design for Permanent Magnet Synchronous Motors,”Computer Simulation,03:227?230,263.(in Chinese)
Wang JH,Wang Q and Zhang L(2016b),“Design of Non-Smooth Synchronous Control Method for Stage Lifting Machinery,”International Conference on Information Science and Control Engineering,IEEEComputer Society,943?947.
Wang Q,Wang J and Ma K(2016c),“Non-Smooth Control for Structural Vibration Control and Its Applications,”Earthquake Engineering and Engineering Dynamics,36(05):207?214.(in Chinese)
Yang J,Li Z and Vongchavalitkul S(1994),“Generalization of Optimal Control Theory:Linear and Nonlinear Control,”Journal of Engineering Mechanics,120(2):266?283.
Yang J,Wu JC et al.(1995),“Hybrid Control of SeismicExcited Bridge Structures,”Earthquake Engineering and Structural Dynamics,24(11):1437?1451.(in Chinese)
Zhou F(1997),Engineering Structure Vibration Control,Beijing:Seismological Press.(in Chinese)
Zhou F,Tan P,Xian Q,et al.(2006),“Research and Application of Seismic Isolation System for Building Structures,”Research and Application of Seismic Isolation System for Building Structures,23(2):1?8.
Zhou F,Zhang Y and Tang P(2009),“Theoretical Study on Story Isolation System,”China Civil Engineering Journal,42(8):1?8.(in Chinese)