417
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

Robust H control for a class of uncertain mechanical systems

, , &
Pages 1303-1324 | Received 29 Jul 2008, Accepted 17 Aug 2009, Published online: 19 May 2010

References

  • Barambones , O and Etxebarria , V . 2002 . Robust Neural Control for Robotic Manipulators . Automatica , 38 : 235 – 242 .
  • Basin , MV and Rodkina , AE . 2005 . On Delay-dependent Stability for a Class of Nonlinear Stochastic Delay-difference Equations . Dynamics of Continuous, Discrete and Impulsive Systems , 12A : 663 – 675 .
  • Basin , MV and Rodkina , AE . 2007 . On Delay-dependent Stability for a Class of Nonlinear Stochastic Systems with Multiple State Delays . Nonlinear Analysis: Theory, Methods and Applications , 68 : 2147 – 2157 .
  • Benassi , L , Elliott , SJ and Gardonio , P . 2004 . Active Vibration Isolation using an Inertial Actuator with Local Force Feedback Control . Journal of Sound and Vibration , 276 : 157 – 179 .
  • Cai , G and Huang , J . 2002 . Optimal Control Method with Time Delay in Control . Journal of Sound and Vibration , 251 : 383 – 394 .
  • Campion , G and Bastin , G . 1991 . Controllability and State Feedback Stabilizability of Nonholonomic Mechanical Systems . Advanced Robot Control , 162 : 106 – 124 .
  • Chang , YC and Chen , BS . 1997 . A Nonlinear Adaptive H ∞ Tracking Control Design in Robotic Systems via Neural Networks . IEEE Transactions on Control Systems Technology , 5 : 13 – 29 .
  • Doyle , JC . (1985), ‘Structured Uncertainty in Control System Design’, in Proceedings of 24th IEEE Conference on Decision and Control, Fort Lauderdale, Florida, pp. 260–265
  • Du , H , Lam , J and Sze , K . 2004 . Non-fragile H ∞ Vibration Control for Uncertain Structural Systems . Journal of Sound and Vibration , 273 : 1031 – 1045 .
  • Du , H , Lam , J and Sze , K . 2005 . H ∞ Disturbance Attenuation for Uncertain Mechanical System with Input Delay . Transaction of the Institute of Measurement and Control , 27 : 37 – 52 .
  • Gallet , A and Bellizzi , S . 1997 . Decoupling Actuators with H ∞ Robust Control for Actively Isolating Vibrating Machines . Mechanical Systems and Signal Processing , 11 : 869 – 886 .
  • Gao , HJ , Lam , J and Wang , CH . 2006 . Multi-objective Control of Vehicle Active Suspension Systems via Load-dependent Controllers . Journal of Sound and Vibration , 290 : 654 – 675 .
  • Gao , H , Shi , P and Wang , J . 2007 . Parameter-dependent Robust Stability of Uncertain Time-delay Systems . Journal of Computational and Applied Mathematics , 206 : 366 – 373 .
  • Gaudiller , L and Hagopian , JD . 1996 . Active Control of Flexible Structures using a Minimum Number of Components . Journal of Sound and Vibration , 193 : 713 – 741 .
  • Georgieva , PG and Ignatova , MN . 1999 . LFT Models of Continuous Biotechnological Process . Bioprocess Engineering , 20 : 179 – 183 .
  • Hu , QL , Shi , P and Gao , HJ . 2007 . Adaptive Variable Structure and Commanding Shaped Vibration Control of Flexible Spacecraft . Journal of Guidance Control and Dynamics , 30 : 804 – 815 .
  • Huang , SJ and Shu , BT . 1997 . Adaptive Control for a Mechanical System with Oscillation Disturbance . Journal of Sound and Vibration , 199 : 107 – 123 .
  • Kar , IN , Miyakura , T and Seto , K . 2000 . Bending and Torsional Vibration Control of a Flexible Plate Structure using H ∞-based Robust Control Law . IEEE Transactions on Control Systems Technology , 8 : 545 – 553 .
  • Kasturi , P and Dupont , P . 1998 . Constrained Optimal Control of Vibration Dampers . Journal of Sound and Vibration , 215 : 499 – 509 .
  • Khargonekar , PP , Petersen , IR and Zhou , K . 1990 . Robust Stabilization of Uncertain Linear Systems: Quadratic Stabilizability and H ∞ Control Theory . IEEE Transactions on Automatic Control , 35 : 356 – 361 .
  • Khulief , YA . 2001 . Vibration Suppression in using Active Modal Control . Journal of Sound and Vibration , 242 : 681 – 699 .
  • Liao , JJ , Wang , AP , Ho , CM and Hwang , YD . 2002 . A Robust Control of a Dynamic Beam Structure with Time Delay Effect . Journal of Sound and Vibration , 252 : 835 – 847 .
  • Paolo , V . 1998 . Robust Control of Uncertain Structures . Computers and Structures , 67 : 165 – 174 .
  • Potsaid , B and Wen , JT . (2002), ‘Optimal Mechanical Design of a Rotary Inverted Pendulum’, in Proceedings of the 2002 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 2849–2854
  • Ram , YM . 1999 . Optimal Control for Vibrating Systems . Mechanical Systems and Signal Processing , 13 : 879 – 892 .
  • Rodkina , AE and Basin , MV . 2006 . On Delay-dependent Stability for Vector Nonlinear Stochastic Delay-difference Equations with Volterra Diffusion Term . Systems and Control Letters , 56 : 423 – 430 .
  • Song , YD , Dhinakaran , B and Bao , XY . 2000 . Variable Speed Control of Wind Turbines using Nonlinear and Adaptive Algorithms . Journal of Wind Engineering and Industrial Aerodynamics , 85 : 293 – 308 .
  • Tang , KZ , Huang , SN , Tan , KK and Lee , TH . 2004 . Combined PID and Adaptive Nonlinear Control for Servo Mechanical Systems . Mechatronica , 14 : 701 – 714 .
  • Vahidi , A and Eskandarian , A . 2001 . Predictive Time-delay Control of Active Suspensions . Journal of Vibration and Control , 7 : 1195 – 1211 .
  • Vasques , CM and Rodrigues , JD . 2006 . Active Vibration Control of Smart Piezoelectric Beams: Comparison of Classical and Optimal Feedback Control Strategies . Computers and Structures , 84 : 1402 – 1414 .
  • Wang , SG , Roschke , PN and Yeh , HY . 2004 . Robust Control for Structural Systems with Unstructured Uncertainties . Journal of Engineering Mechanics , 130 : 337 – 346 .
  • Wang , J , Shi , P and Gao , H . 2007 . Gain-scheduled Stabilization of Linear Parameter-varying Systems with Time-varying Input Delay . IET Control Theory and Applications , 1 : 1276 – 1285 .
  • Wang , Y , Xie , L and de Souza , CE . 1992 . Robust Control of a Class of Uncertain Non-linear Systems . Systems and Control Letters , 19 : 139 – 149 .
  • Wu , L , Shi , P , Gao , H and Wang , C . 2006 . H ∞ Mode Reduction for Two-dimensional Discrete State-delayed Systems . IEE Proceedings–Vision, Image and Signal Processing , 153 : 769 – 784 .
  • Xia , Y , Shi , P , Liu , G and Rees , D . 2005 . Robust Mixed H 2 / H ∞ State Feedback Control for Continuous-time Descriptor Systems with Parameter Uncertainties . Circuits Systems and Signal Processing , 24 : 431 – 443 .
  • Yao , B and Xu , L . 2002 . Adaptive Robust Motion Control of Linear Motors for Precision Manufacturing . Mechatronics , 12 : 595 – 616 .
  • Zhang , JF . 2002 . Optimal Control for Mechanical Vibration Systems Based on Second-order Matrix Equations . Mechanical Systems and Signal Processing , 16 : 61 – 67 .
  • Zhang , L , Boukas , E and Lam , J . 2008 . Analysis and Synthesis of Markov Jump Linear Systems with Time-varying Delays and Partially Known Transition Probabilities . IEEE Transactions on Automatic Control , 53 : 2458 – 2464 .
  • Zhang , L and Shi , P . 2008 . L 2-L ∞ Model Reduction for Switched LPV Systems with Average Dwell Time . IEEE Transactions on Automatic Control , 53 : 2443 – 2448 .
  • Zhang , L , Shi , P , Wang , C and Gao , H . 2006 . Robust H ∞ Filtering for Switched Linear Discrete-time Systems with Polytopic Uncertainties . International Journal of Adaptive Control and Signal Processing , 20 : 291 – 304 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.