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

Malisani P. | Zendy; Chaplais F. | Zendy; Petit N. | Zendy

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

Author(s) -

Malisani P.,

Chaplais F.,

Petit N.

Publication year - 2014

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.2134

Subject(s) - constructive , penalty method , benchmark (surveying) , property (philosophy) , mathematical optimization , optimal control , nonlinear system , computer science , state (computer science) , simple (philosophy) , control (management) , constructive proof , nonlinear programming , mathematics , algorithm , artificial intelligence , physics , philosophy , geodesy , process (computing) , epistemology , quantum mechanics , discrete mathematics , geography , operating system

Summary 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.

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