Constrained Finite Receding Horizon Linear Quadratic ControlPrimbs, James A. and Nevistic, Vesna (1993) Constrained Finite Receding Horizon Linear Quadratic Control. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1997.002] Full text available as:
AbstractIssues of feasibility, stability and performance are considered for a finite horizon formulation of receding horizon control (RHC) for linear systems under mixed linear state and control constraints. It is shown that for a sufficiently long horizon, a receding horizon policy will remain feasible and result in stability, even when no end constraint is imposed. In addition, offline finite horizon calculations can be used to determine not only a stabilizing horizon length, but guaranteed performance bounds for the receding horizon policy. These calculations are demonstrated on two examples.
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