Model Predictive Control of Uncertain Constrained Linear System Based on Mixed [Hamiltonian (script capital H)] 2/[Hamiltonian (script capital H)] [infinity] Control Approach

Uncertain constrained discrete-time linear system is addressed using linear matrix inequality based optimization techniques. The constraints on the inputs and states are specified as quadratic constraints but are formulated to capture hyperplane constraints as well. The control action is of state fe...

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Bibliographic Details
Published in:Journal of control science and engineering 2012-01, Vol.2012
Main Author: Orukpe, Patience E
Format: Article
Language:English
Subjects:
Algorithms
Control theory
Design specifications
Mathematical models
Predictive control
Studies
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Summary:Uncertain constrained discrete-time linear system is addressed using linear matrix inequality based optimization techniques. The constraints on the inputs and states are specified as quadratic constraints but are formulated to capture hyperplane constraints as well. The control action is of state feedback and satisfies the constraints. Uncertainty in the system is represented by unknown bounded disturbances and system perturbations in a linear fractional transform (LFT) representation. Mixed [Hamiltonian (script capital H)] 2/[Hamiltonian (script capital H)] ∞ method is applied in a model predictive control strategy. The control law takes account of disturbances and uncertainty naturally. The validity of this approach is illustrated with two examples.
ISSN:1687-5249
1687-5257