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Infinite horizon stable predictive control. (English) Zbl 0863.93037

Necessary and sufficient conditions for the existence of stable input/output infinitive horizon pairs are derived. Conditions are explicitly characterized and meet asymptotic terminal constraints posed on outputs as well as on inputs. Also a novel way of computing the implied infinitive horizon generalized predictive control (GPC) cost, avoiding the need for solving a Lyapunov equation, is presented.
Simulation examples highlight the diverse advantages of the proposed approach exposed as a means of classifying pairs of stable input/output predictions in a manner which make the resulting degrees of freedom transparent and as a framework for the use of these predictions in the GPC strategies.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93D25 Input-output approaches in control theory
93C55 Discrete-time control/observation systems
49N10 Linear-quadratic optimal control problems
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