TY - GEN
T1 - Generalized predictive control algorithms with guaranteed frozen-time stability and bounded tracking error
AU - Jolly, Thomas
AU - Bentsman, Joseph
PY - 1993
Y1 - 1993
N2 - In its present form, for a fixed plant model GPC (generalized predictive control) guarantees stability only for two specific choices of horizons in the cost function. In one instance, GPC has been shown to result in a deadbeat control law while in the other, the control law has been shown to converge to that given by the solution of the corresponding algebraic Riccati equation. However a lower bound on the costing horizon that results in a stabilizing controller is not known a priori. This paper presents sufficient conditions for stability of closed loop systems that result from implementing solutions of the finite horizon LQ problem for arbitrary fixed costing horizons. On this basis, a class of predictive control laws that ensures frozen-time stability of the closed loop system is proposed. When the plant is required to track a known reference signal that is bounded, the sufficient conditions for frozen-time stability of the closed loop are used to derive a controller structure that guarantees the tracking error to be bounded.
AB - In its present form, for a fixed plant model GPC (generalized predictive control) guarantees stability only for two specific choices of horizons in the cost function. In one instance, GPC has been shown to result in a deadbeat control law while in the other, the control law has been shown to converge to that given by the solution of the corresponding algebraic Riccati equation. However a lower bound on the costing horizon that results in a stabilizing controller is not known a priori. This paper presents sufficient conditions for stability of closed loop systems that result from implementing solutions of the finite horizon LQ problem for arbitrary fixed costing horizons. On this basis, a class of predictive control laws that ensures frozen-time stability of the closed loop system is proposed. When the plant is required to track a known reference signal that is bounded, the sufficient conditions for frozen-time stability of the closed loop are used to derive a controller structure that guarantees the tracking error to be bounded.
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U2 - 10.23919/acc.1993.4792880
DO - 10.23919/acc.1993.4792880
M3 - Conference contribution
AN - SCOPUS:0027844316
SN - 0780308611
SN - 9780780308619
T3 - American Control Conference
SP - 384
EP - 388
BT - American Control Conference
PB - Publ by IEEE
T2 - Proceedings of the 1993 American Control Conference Part 3 (of 3)
Y2 - 2 June 1993 through 4 June 1993
ER -