Receding horizon H(infinity) predictive control for systems with input saturation
A receding horizon H∞ predictive control method is derived by solving a min-max problem in nonrecursive form. The min-max cost index is converted to a quadratic form which, for systems with input saturation, can be minimised using QP. Stability conditions and H∞ norm bounds on disturbance rejection...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
IEE
2000
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| Summary: | A receding horizon H∞ predictive control method is derived by solving a min-max problem in nonrecursive form. The min-max cost index is converted to a quadratic form which, for systems with input saturation, can be minimised using QP. Stability conditions and H∞ norm bounds on disturbance rejection are obtained. Without input saturation, stabilising terminal weights guaranteeing finite H∞ norm bounds always exist, but the guaranteed H∞ norm bound may be conservative; this is remedied through the use of closed-loop prediction. Feasible sets for state and disturbances are derived, for which stability can be guaranteed. The algorithm and weight selection procedures are given in terms of LMIs. |
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