Optimization of loop transmission functions in SISO uncertain feedback systems

Author

Nwokah, O.D.I. ; Nordgren, R.E. ; Grewal, G.S.

Author_Institution

Sch. of Mech. Eng., Purdue Univ., West Lafayette, IN, USA

Volume

1

fYear

1994

fDate

29 June-1 July 1994

Firstpage

365

Abstract

Within QFT, optimization is understood in the sense of minimization of the cost of feedback subject to satisfaction of some a priori specified stability and performance constraints. In this paper, this notion is made precise in an L²/H² setting by use of the Karhunen representation theorem. Optimality here stands in contra distinction to the notion of optimality used in H^∞ control, and relates to the minimum gain controller for which a solution to the problem is feasible. With this objective, it is shown that the worst case constraint satisfaction problem and the optimization problem are equivalent.

Keywords

feedback; minimisation; uncertain systems; ℒ²/H² setting; Karhunen representation theorem; QFT; SISO uncertain feedback systems; loop transmission functions; minimization; minimum gain controller; optimality; optimization problem; performance constraints; quantitative feedback theory; worst case constraint satisfaction problem; Constraint optimization; Cost function; Feedback loop; Frequency; Hydrogen; Mechanical engineering; Optimal control; Performance gain; Robust stability; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.751760

Filename

751760