CHEN, W-H., 2002. Maximisation of feasibility/stability regions of model predictive control for constrained linear systems. IEE proceedings: control theory and applications, 149 (3), pp. 243-246
Stability of model predictive control could be achieved by adding a terminal
weighting term in a performance index and the feasibility/stability region largely
depends on the choice of the terminal weighting term and associated terminal
control laws. For constrained linear systems, different from existing methods where
the stability region is estimated by its terminal region, a new method to estimate
feasibility/stability regions directly is proposed using a new representation of the
behaviour of MPC. A design procedure is then developed to determine the terminal
term such that the feasibbility/stability region of MPC algorithms is as large as
possible. Examples show that the stability region is greatly enlarged.
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