On the dynamics of receding horizon linear quadratic finite alphabet control loops

作者: D.E. Quevedo , J.A. De Dona , G.C. Goodwin

DOI: 10.1109/CDC.2002.1184298

关键词: Invariant (mathematics)Link (knot theory)Exponential stabilityConstraint (information theory)Model predictive controlControl theoryMathematicsStability (learning theory)Context (language use)Horizon

摘要: This paper addresses the issue of dynamics receding horizon linear quadratic control with finite input constraint sets. Under special circumstances it is possible to exploit standard tools from model predictive establish asymptotic stability. However, in general, notion stability too strong when used context alphabet control. We are thus led weaker notions, including that ultimate boundedness closed loop trajectories, which interalia related existence positively invariant utilize a recent characterization link parallel literature on analog-to-digital converters. By borrowing ideas this latter area, we able develop several methods for determining sets, hence ensuring boundedness. The efficacy these illustrated by examples.

参考文章(27)
Daniel E Quevedo, José A De Doná, Graham C Goodwin, None, RECEDING HORIZON LINEAR QUADRATIC CONTROL WITH FINITE INPUT CONSTRAINT SETS IFAC Proceedings Volumes. ,vol. 35, pp. 183- 188 ,(2002) , 10.3182/20020721-6-ES-1901.00599
Gabor C. Temes, Steven R. Norsworthy, Richard Schreier, Ieee Circuits, Delta-sigma data converters : theory, design, and simulation IEEE Press. ,(1997)
Jan Marian Maciejowski, Predictive Control With Constraints ,(2001)
R. Schreier, Y. Yang, Stability tests for single-bit sigma-delta modulators with second-order FIR noise transfer functions international symposium on circuits and systems. ,vol. 3, pp. 1316- 1319 ,(1992) , 10.1109/ISCAS.1992.230262
Huibert Kwakernaak, Raphael Sivan, Linear Optimal Control Systems ,(1972)
D.Q. Mayne, J.B. Rawlings, C.V. Rao, P.O.M. Scokaert, Survey Constrained model predictive control: Stability and optimality Automatica. ,vol. 36, pp. 789- 814 ,(2000) , 10.1016/S0005-1098(99)00214-9
R.K. Miller, M.S. Mousa, A.N. Michel, Quantization and overflow effects in digital implementations of linear dynamic controllers IEEE Transactions on Automatic Control. ,vol. 33, pp. 698- 704 ,(1988) , 10.1109/9.1283
M. Sznaier, M.J. Damborg, Control of constrained discrete time linear systems using quantized controls Automatica. ,vol. 25, pp. 623- 628 ,(1989) , 10.1016/0005-1098(89)90107-6
Z Li, CB Soh, Lyapunov stability of discontinuous dynamic systems Ima Journal of Mathematical Control and Information. ,vol. 16, pp. 261- 274 ,(1999) , 10.1093/IMAMCI/16.3.261