Title :
Optimal controllers are fragile
Author_Institution :
Dept. of Mech. Eng., Indiana Univ., Indianapolis, IN, USA
Abstract :
Optimal controllers are structurally unstable. The instability is intrinsic because of constrained optimization. This kind of instability is sometimes identified with "fragility" in the control literature. The fragility is related to hidden degeneracies in the polynomials and matrices of the optimized systems, and may detected by looking for certain catastrophe fingerprints.
Keywords :
control system synthesis; matrix algebra; optimal control; optimisation; polynomials; stability; catastrophe fingerprints; constrained optimization; control literature; fragility; hidden degeneracies; instability; matrices; optimal controllers; optimized systems; polynomials; Closed loop systems; Constraint optimization; Control systems; Control theory; Fingerprint recognition; Mechanical engineering; Optimal control; Polynomials; Stability; Structural engineering;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1242571
