Stabilising intervalwise receding horizon H∞ tracking controls for continuous time-varying systems

IEE Proceedings: Control Theory and Applications

Volumn 151, Issue 5, 2004, Pages 526-530

  Kim, K B ^a   Kwon, W H ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONSTRAINT THEORY; DISCRETE TIME CONTROL SYSTEMS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; THEOREM PROVING; TRANSFER FUNCTIONS; UNCERTAIN SYSTEMS;

ASYMPTOTIC PROPERTIES; INTERVALWISE RECEDING HORIZON TRACKING CONTROL (IHTC); POINTWISE RECEDING HORIZON TRACKING CONTROL (PRHTC); RECEDING HORIZON CONTROL (RHC);

TIME VARYING SYSTEMS;

EID: 9944226809     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20040787     Document Type: Conference Paper

References (16)

1. Kwon, W.H., and Byun, D.G.: 'Receding horizon tracking control as a predictive control and its stability properties', Int. J. Control, 1989, 50, (5), pp. 1807-1824
2. Kothare, M.V., Balakrishnan, V., and Morari, M.: 'Robust constrained model predictive control using linear matrix inequalities', Automatica, 1996, 32, pp. 1361-1379
3. Magni, L., and Sepulchre, R.: 'Stability margin of nonlinear receding horizon control via inverse optimally', Syst. Control Lett., 1997, 32, pp. 241-245
4. Chen, H., and Allgower, F.: 'A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability', Automatica, 1998, 34, pp. 1205-1217
5. ∞ predictive control for systems with input saturatiion', IEE Proc., Control Theory Appl., 2000, 147, pp. 153-158
6. ∞ controls for linear continuous time-varying systems', IEEE Trans. Autom. Control, 2001, 46, (8), pp. 1273-1279
7. Ramirez, D.R., and Camacho, E.F.: 'On the piecewise linear nature of min-max model predictive control with bounded uncertainties'. Proc. IEEE Conf. on Decision and Control, Orlando, FL, USA, 2001, pp. 4845-4850
8. Bemporad, A., Morari, M., Dua, V., and Pistikopoulos, E.N.: The explicit linear quadratic regulator for constrained systems', Automatica, 2002, 38, pp. 3-20
9. Ramirez, D.R., and Camacho, E.F.: 'On the piecewise linear nature of constrained min-max model predictive control with bounded uncertainties'. Proc. American Control Conf., Denver, CO, USA, 2003, pp. 3620-3625
10. Kim. K.B.: 'Receding horizon tracking control for constrained continuous linear time-varying systems', IEE Proc., Control Theory Appl., 2003, ISO, (5), pp. 534-538
11. ∞-tracking control for discrete linear periodic systems', IEEE Trans. Autom. Control, 2000, 45, (4), pp. 747-751
12. De Nicolao, G.: 'Cyclomonotonicity and stabilizability properties of solutions of the difference periodic Riccati equation', IEEE Trans. Autom. Control, 1992, 37, (9), pp. 1405-1410
13. De Nicolao, G.: 'Cyclomonotonicity, Riccati equations and periodic receding horizon control', Automatica, 1994, 30, (9), pp. 1375-1388
14. Baser, T., and Bernhard, P.: 'Optimal control and related minimax design problems: a dynamic game approach' (Birkhäuser, Boston, 1995)
15. Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M.: 'LMI control toolbox' (The MATHWORKS Inc., Natick, MA, 1995)
16. Kim, K.B., and Low, S.H.: 'Analysis and design of AQM based on state-space models for stabilizing TCP'. Proc. IEEE American Control Conf., Denver, CO, USA, 2003, pp. 260-265