H 2 state-feedback control for LPV systems with input saturation and matched disturbance

Nonlinear Dynamics

Volumn 67, Issue 2, 2012, Pages 1083-1096

  Park, Bum Yong ^a   Yun, Sung Wook ^a   Park, Poogyeon ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

Disturbance rejection; Gain scheduling; Input saturation; Linear parameter varying (LPV) system; Parameter dependent Lyapunov function (PDLF)

Indexed keywords

CONTROLLER DESIGNS; FEEDBACK GAIN MATRIX; GAIN SCHEDULING; INPUT SATURATION; LINEAR PARAMETER-VARYING SYSTEM; LPV SYSTEMS; PARAMETER RELAXATION; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; PARAMETERIZED LINEAR MATRIX INEQUALITY; STATE-FEEDBACK CONTROLLERS;

CONTROLLERS; DISTURBANCE REJECTION; FEEDBACK CONTROL; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; STATE FEEDBACK;

LINEAR MATRIX INEQUALITIES;

EID: 84855773677     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0052-0     Document Type: Article

References (18)

1. D.J. Leith W.E. Leithead 2000 Survey of gain-scheduling analysis and design Int. J. Control 73 11 1001 1025 10.1080/002071700411304 1006.93534 1777176 (Pubitemid 35395388)
2. F. Wang V. Balakrishnan 2002 Improved stability analysis and gain-scheduled controller synthesis for parameter-dependent systems IEEE Trans. Autom. Control 47 5 720 734 10.1109/TAC.2002.1000267 1979612 (Pubitemid 34692255)
3. F. Blanchini 2000 The gain scheduling and the robust state feedback stabilization problems IEEE Trans. Autom. Control 45 11 2061 2070 10.1109/9.887627 0991.93102 1798443 (Pubitemid 32085222)
4. G. Scorletti L. El Ghaoui 1998 Improved LMI conditions for gain scheduling and related control problems Int. J. Robust Nonlinear Control 8 10 845 877 10.1002/(SICI)1099-1239(199808)8:10<845::AID-RNC350>3.0.CO;2-I 0935.93050 (Pubitemid 128632056)
5. 2 controller synthesis for linear parameter varying systems via parameter-dependent Lyapunov functions Int. J. Robust Nonlinear Control 16 5 243 257 10.1002/rnc.1040 1105.93032 (Pubitemid 43325544)
6. W. Xie 2005 mathcal{H}}-{2} gain scheduled state feedback for LPV system with new LMI formulation IEE Proc.; Control Theory Appl. 152 6 693 697 10.1049/ip-cta:20050052 (Pubitemid 44532754)
7. 2 control for time-varying and linear parametrically-varying systems Int. J. Robust Nonlinear Control 6 9-10 929 952 10.1002/(SICI)1099-1239(199611)6:9/10<929::AID- RNC260>3.0.CO;2-9 0861.93009 1429434
8. 2-norm control for LPV systems with bounded parameter variation rates Int. J. Robust Nonlinear Control 6 9-10 983 998 10.1002/(SICI)1099-1239(199611)6:9/10<983:: AID-RNC263>3.0.CO;2-C 0863.93074 1429437
9. ∞ filtering of parameter-varying systems Int. J. Robust Nonlinear Control 16 8 397 411 10.1002/rnc.1062 05237824 2208765 (Pubitemid 43799592)
10. M. Yoon V.A. Ugrinovskii M. Pszczel 2007 Gain-scheduling of minimax optimal state-feedback controllers for uncertain LPV systems IEEE Trans. Autom. Control 52 2 311 317 10.1109/TAC.2006.887904 2295014 (Pubitemid 46444287)
11. ∞ linear parameter-varying state feedback control IEE Proc.; Control Theory Appl. 152 2 195 201 10.1049/ip-cta:20045117 (Pubitemid 40540351)
12. Y.-Y. Cao Z. Lin Y. Shamash 2002 Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation Syst. Control Lett. 46 2 137 151 10.1016/S0167-6911(02)00128-7 0994.93014 2010066 (Pubitemid 34524836)
13. P.G. Park D.J. Choi 2001 LPV controller design for the nonlinear RTAC system Int. J. Robust Nonlinear Control 11 14 1343 1363 10.1002/rnc.599 0996.93037 1869550 (Pubitemid 34035638)
14. S.W. Yun Y.J. Choi P.G. Park 2010 State-feedback disturbance attenuation for polytopic LPV systems with input saturation Int. J. Robust Nonlinear Control 20 8 899 922 2667281
15. B. Wie D.S. Bernstein 1992 Benchmark problems for robust control design J. Guid. Control Dyn. 15 5 1057 1059 10.2514/3.20949
16. Reinelt, W.: Robust control of a two-mass-spring system subject to its input constraints. In: Proceedings ACC'2000, pp. 1817-1821 (2000) (Pubitemid 32028272)
17. Hu, T.; Lin, Z.: Control Systems with Actuator Saturation: Analysis and Design. Birkhäuser, Boston (2001)
18. Gahinet, P.; Nemirovski, A.; Laub, A.J.; Chilali, M.: LMI Control Toolbox for use with Matlab, User's Guide. The Math Works, Natick (1995)