Sensitivity updates for linear-quadratic optimization problems in multi-step model predictive control
Zeitschrift:
Journal of Physics : Conference Series
Jahrgang:
2514
Jahr:
2023
Seiten von - bis:
012008
Sprache:
Englisch
Abstract:
The paper discusses how parametric sensitivity analysis can be used in certain model predictive control (MPC) schemes. The sensitivity analysis will be performed with regard to the initial state measurement and update schemes will be derived that speed-up the computations. Throughout we restrict the discussion to linear-quadratic optimal control problems in discrete time, which frequently arise in tracking tasks with MPC. The derived tools from sensitivity analysis can be embedded into MPC schemes with a prediction step and multi-step MPC schemes with re-optimization and prediction step. Numerical experiments illustrating the sensitivity analysis are presented. «
The paper discusses how parametric sensitivity analysis can be used in certain model predictive control (MPC) schemes. The sensitivity analysis will be performed with regard to the initial state measurement and update schemes will be derived that speed-up the computations. Throughout we restrict the discussion to linear-quadratic optimal control problems in discrete time, which frequently arise in tracking tasks with MPC. The derived tools from sensitivity analysis can be embedded into MPC schem... »