Non-fragile robust H_∞ control for uncertain spacecraft rendezvous system with pole and input constraints

References

• Boyd , S , Ghaoui , LE , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Control Theory , Philadelphia , , USA : SIAM Studies in Applied Mathematics .
   Google Scholar
• Chang , XH and Yang , GH . 2012 . Non-fragile Fuzzy H∞ Filter Design for Non Linear Continuous-time Systems with D-stability Constraints . Signal Processing , 92 : 575 – 586 .
   Web of Science ®Google Scholar
• Chen , JD , Yang , CD , Lien , CH and Horng , JH . 2008 . A New Delay-dependent Non-fragile H∞ Observer-based Control for Continuous Time-delay Systems . Information Sciences , 178 : 4699 – 4706 .
   Web of Science ®Google Scholar
• Clohessy , WH and Wiltshire , RS . 1960 . Terminal Guidance System for Satellite Rendezvous . Journal of Aerospacc Science , 27 : 653 – 658 .
   Web of Science ®Google Scholar
• Dong , J and Yang , GH . 2007 . Robust H∞ Control for Standard Discrete-time Singularly Perturbed Systems . IET Control Theory & Applications , 1 : 1141 – 1148 .
   Web of Science ®Google Scholar
• Ebrahimi , B , Bahrami , M and Roshanian , J . 2008 . Optimal Sliding-mode Guidance with Terminal Velocity Constraint for Fixed-interval Propulsive Maneuvers . Acta Astronautica , 60 : 556 – 562 .
   Web of Science ®Google Scholar
• Gahinet , P and Apkarian , P . 1994 . A Linear Matrix Inequality Approach to H∞ Control . International Journal of Robust Nonlinear Control , 4 : 421 – 448 .
   Web of Science ®Google Scholar
• Gao , XY , Duan , GR and Zhang , X . 2009a . Parameter-dependent Lyapunov Function Approach to Robust Stability Analysis for Discrete-time Descriptor Polytopic Systems . Proceedings of the 48th IEEE Conference on Decision and Control . 2009a . pp. 1139 – 1144 .
   Google Scholar
• Gao , H , Shi , P and Wang , J . 2007a . Parameter-dependent Robust Stability of Uncertain Time-delay Systems . Journal of Computational and Applied Mathematics , 206 : 366 – 373 .
   Web of Science ®Google Scholar
• Gao , XY , Teo , KL and Duan , GR . 2011 . Non-fragile Guaranteed Cost Control for Robust Spacecraft Orbit Transfer with Small Thrust . IMA Journal of Mathematical Control & Information , 28 : 507 – 524 .
   Web of Science ®Google Scholar
• Gao , HJ , Yang , XB and Shi , P . 2009b . Multi-objective Robust H∞ Control of Spacecraft Rendezvous . IEEE Transactions on Automatic Control , 17 : 794 – 802 .
   Web of Science ®Google Scholar
• Garcia , G and Bemussou , J . 1995 . Pole Assignment for Uncertain Systems in a Specified Disk by State Feedback . IEEE Transactions on Automatic Control , 40 : 184 – 190 .
   Web of Science ®Google Scholar
• Keel , L and Bhattacharyya , S . 1997 . Robust, Fragile, or Optimal . IEEE Transactions on Automatic Control , 42 : 1098 – 1105 .
   Web of Science ®Google Scholar
• Lien , CH . 2007a . H∞ Non-fragile Observer-based Controls of Dynamical Systems via LMI Optimisation Approach . Chaos, Solitons and Fractals , 34 : 428 – 436 .
   Web of Science ®Google Scholar
• Lien , CH . 2007b . Non-fragile Guaranteed Cost Control for Uncertain Neutral Dynamic Systems with Time-varying Delays in State and Control Input . Chaos, Solitons and Fractals , 31 : 889 – 899 .
   Web of Science ®Google Scholar
• Lien , CH , Cheng , WC , Tsai , CH and Yu , KW . 2007 . Non-fragile Observer-based Controls of Linear System via LMI Approach . Chaos, Solitons and Fractals , 32 : 1530 – 1537 .
   Web of Science ®Google Scholar
• Luo , YZ , Tang , GJ and Lei , YJ . 2007 . Optimal Multi-objective Linearised Impulsive Rendezvous . Journal of Guidance Control and Dynamics , 30 : 383 – 389 .
   Web of Science ®Google Scholar
• Park , JH . 2004 . Robust Non-fragile Control for Uncertain Discrete-delay Large-scale Systems with a Class of Controller Gain Variations . Fuzzy Sets and Systems , 149 : 147 – 164 .
   Google Scholar
• Singla , P , Subbarao , K and Junkins , JL . 2006 . Adaptive Output Feedback Control for Spacecraft Rendezvous and Docking Under Measurement Uncertainty . Journal of Guidance Control and Dynamics , 29 : 892 – 902 .
   Web of Science ®Google Scholar
• Suplin , V , Fridman , E and Shaked , U . 2006 . H∞ Control of Linear Uncertain Time-delay Systems: A Projection Approach . IEEE Transactions on Automatic Control , 51 : 680 – 685 .
   Web of Science ®Google Scholar
• Tiwari , A , Fung , J , Carson , JM , Bhattacharya , R and Murray , RM . 2004 . A Framework of Lyapunov Certificates for Multi-vehicle Rendezvous Problems . Proceedings of American Control Conference . 2004 . pp. 5582 – 5587 .
   Google Scholar
• Wang , C and Shen , Y . 2011 . Delay-dependent Non-fragile Robust Stabilisation and H∞ Control of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearity . Journal of the Franklin Institute , 348 : 2174 – 2190 .
   Web of Science ®Google Scholar
• Wang , J , Shi , P and Gao , H . 2007 . Gain-scheduled Stabilisation of Linear Parameter-varying Systems with Time-varying Input Delay . IET Control Theory & Applications , 1 : 1276 – 1285 .
   Web of Science ®Google Scholar
• Xu , S and Lam , J . 2006 . Robust Control and Filtering of Singular Systems, Lecture Notes in Control and Information Sciences , Berlin , , Germany : Springer .
   Google Scholar
• Xu , S , Yang , C and Zhou , S . 2000 . Robust Control for Uncertain Discrete-time Systems with Circular Pole Constraints . Systems & Control Letters , 39 : 136 – 246 .
   Web of Science ®Google Scholar
• Yang , GH and Che , WW . 2008 . Non-fragile H∞ Filter Design for Linear Continuous-time Systems . Automatica , 44 : 2849 – 2856 .
   Web of Science ®Google Scholar
• Yang , GH and Zhang , JQ . 2001 . Non-fragile H∞ Control for Linear Systems with Multiplicative Controller Gain Variations . Automatica , 37 : 727 – 737 .
   Web of Science ®Google Scholar
• Yang , J , Zhong , SM and Xiong , LL . 2009 . A Descriptor System Approach to Non-fragile H∞ Control for Uncertain Fuzzy Neutral Systems . Fuzzy Sets and Systems , 160 : 423 – 438 .
   Web of Science ®Google Scholar