Algorithm for the minimum-effort problem
- 1 February 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 16 (1) , 60-63
- https://doi.org/10.1109/tac.1971.1099634
Abstract
Give a consistent set of m linear equations in n unknown variables, a minimum-effort solution is defined to be a solution of that set of equations whose maximum component's magnitude is the smallest possible. An algorithmic procedure for obtaining a minimum-effort solution is developed. Its development is based on the duality principle from functional analysis. Possible applications of such an algorithm for typical digital control problems is presented in the introductory section. In such situations, it is frequently desirable to effect a given control task while using minimum control amplitude.Keywords
This publication has 2 references indexed in Scilit:
- Minimum Effort Control SystemsJournal of the Society for Industrial and Applied Mathematics Series A Control, 1962
- Synthesizing time optimal control systemsJournal of Mathematical Analysis and Applications, 1960