Abstract

AbstractIn this paper, a novel control scheme, known as multi‐step model predictive control (MPC), is presented for multi‐input systems. To reduce computational complexity, only one or several control inputs are optimized at each time interval. A multi‐step MPC scheme for nominal multi‐input systems is presented. A set invariance condition for polytopic uncertain systems is identified, and the invariant set is determined by solving a linear matrix inequality optimisation problem. Based on the set invariance condition, a min‐max multi‐step robust MPC algorithm is proposed for the polytopic uncertain systems. Two examples are carried out to demonstrate the effectiveness of the proposed algorithms.

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