Title :
Sampled-data observers with generalized holds for unstable plants
Author :
Haddad, Wassim M. ; Huang, Hsing-Hsin ; Bernstein, Dennis S.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Florida Inst. of Technol., Melbourne, FL, USA
Abstract :
Optimality conditions are derived for reduced-order sampled-data estimation satisfying an observation constraint that involves a prespecified, possibly unstable, subspace of the system dynamics. It is shown that a generalized hold device possessing a time-varying exponential intersample profile is essential to account for the unstable dynamics. In particular, it is shown that with a continuous-time quadratic performance measure, a zero-order-hold device may result in an unbounded (infinite) cost. An additional feature of the problem is the utilization of an averaging analog-to-digital (A/D) device within the continuous-time/discrete-time conversion which results in averaged measurements depending upon delayed samples of the state
Keywords :
State estimation; control system analysis; control system synthesis; sampled data systems; state estimation; state-space methods; averaging A/D device; continuous-time quadratic performance measure; generalized holds; observation constraint; optimality conditions; reduced-order sampled-data estimation; sampled-data observers; subspace-observer problem; unbounded cost; unstable plants; zero-order-hold device; Aerodynamics; Aerospace engineering; Application software; Costs; Delay; Particle measurements; Sampling methods; State estimation; Subspace constraints; White noise;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371087