Abstract
Abstract In this work, we consider what happens when the receding-horizon control laws are designed with finite final-state penalization matrices. A sufficient condition in terms of system and performance index parameters is given for the discrete receding-horizon control (RHC) laws to be stabilizing when used for suboptimal regulation. This condition enables the weighting matrices in the quadratic criterion to be pro-assigned so that stability of design is secured. The exact value of RHC cost in terms of optimal cost and an easily computable upper bound on its deviation from the optimal cost is found. Fast algorithms are included to calculate the particular RHC feedback gains introduced. Dual results in estimation theory are pointed out. In this way, RHC is proposed as an attractive suboptimal alternative to the optimal terminal control of linear discrete-time systems.
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