Title :
Improved parametrization for sensitivity and round-off noise minimization
Author :
Guo, Lin ; Tomizuka, Masayahi
Author_Institution :
Dept. of Mech. Eng., California Univ., Berkeley, CA, USA
Abstract :
In this paper, a new operator (d) which combines the two commonly used operators, the shift (q) and delta (δ) operators, is proposed. The numerical characteristics of the realization using the d-operator are analyzed. It is shown that for any given constraint on state space realization dynamic range, the optimized d-realization has lower sensitivity than that of the optimized q and δ-realizations. It is also shown that a sub-optimal d-realization can always be found to guarantee a round-off noise gain upper bound lower than that of the optimized δ-realization and the minimized round-off noise gain of the q-realization
Keywords :
noise; optimal control; realisation theory; roundoff errors; sensitivity; δ-operator; d-operator; delta operator; improved parametrization; optimized d-realization; round-off noise gain upper bound; round-off noise minimization; sensitivity minimization; shift operator; state-space realization dynamic range; suboptimal d-realization; Constraint optimization; Digital control; Digital signal processing; Dynamic range; Feedback; Mechanical engineering; Sampling methods; Space technology; State-space methods; Upper bound;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532725
