An interior penalty method for optimal control problems with state and input constraints of nonlinear systems

By Paul Malisani, Francois Chaplais, Nicolas Petit. 2016

69 citations recorded by the source corpus.

This paper exposes a methodology to solve state and input constrained optimal control problems for nonlinear systems. In the presented ‘interior penalty’ approach, constraints are penalized in a way that guarantees the strict interiority of the approaching solutions. This property allows one to invoke simple (without constraints) stationarity conditions to characterize the unknowns. A constructive choice for the penalty functions is exhibited. The property of interiority is established, and practical guidelines for implementation are given. A numerical benchmark example is given for illustration. © 2014 The Authors. Optimal Control Applications and Methods published by John Wiley & Sons, Ltd.

Subfields: Aerospace Engineering, Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5e14f46f3a7833677a651176fa4c7f6bce7808b9

Citations in the corpus

• Control Barrier Function Based Quadratic Programs for Safety Critical Systems (2016, unknown): “More recently, barrier functions were used in the paper [4] to develop an interior penalty method for converting constrained optimal control methods into unconstrained ones1.”