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Fast explicit nonlinear model predictive control via multiresolution function approximation with guaranteed stability

Author(s):

D. M. Raimondo
Conference/Journal:

8th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010), Bologna, Italy
Abstract:

In this paper an algorithm for nonlinear explicit model predictive control is introduced based on multiresolution function approximation that returns a low complexity approximate receding horizon control law built on a hierarchy of second order interpolets. Feasibility and stability guarantees for the approximate control law are given using reachability analysis, where interval methods are used to construct a capture basin (feasible region). A constructive algorithm is provided that combines adaptive function approximation with interval methods to build a receding horizon control law that is suboptimal, yet with a region of guaranteed feasibility and stability. The resulting control law is built on a grid hierarchy that is fast to evaluate in real-time systems.

Year:

2010
Type of Publication:

(06)Talk
Supervisor:



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