A Generic Solver for Unconstrained Control Problems with Integral Functional Objectives
- Creators
- Tseng, Shih-Hao
Abstract
We present a generic solver for unconstrained control problems (UCPs) whose objectives take the form of an integral functional of the controllers. The solver generalizes and improves upon the algorithm in [1] for the Witsenhausen's counterexample, which provides the best-known results. In essence, we show that minimizing the objective implies minimizing the marginal cost functions almost everywhere, and we perform the latter task pointwisely by the adaptive minimization technique, which speeds up the computation. We implement single-threaded and parallelized versions of the proposed algorithm. Our implementation runs 30× faster than the algorithm in [1] on the Witsenhausen's counterexample, and we demonstrate the applicability of the solver and discuss the possible generalization to constrained problems and multidimensional controllers through three more examples.
Additional Information
© 2020 AACC.Attached Files
Submitted - 1908.04489.pdf
Files
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Additional details
- Eprint ID
- 104661
- Resolver ID
- CaltechAUTHORS:20200730-143942690
- Created
-
2020-07-31Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field