
Accession Number : AD0760955
Title : Observers for Systems with Unknown, Unmeasurable Inputs.
Descriptive Note : Doctoral thesis,
Corporate Author : CALIFORNIA UNIV IRVINE SYSTEMS ENGINEERING AND OPERATIONS RESEARCH GROUP
Personal Author(s) : Hostetter,Gene Huber
Report Date : MAY 1973
Pagination or Media Count : 198
Abstract : The theory of observers for linear, time invariant systems is generalized to systems where some of the system inputs are unmeasurable (or inaccessible) and statistically unknown. Criteria for the existence of such observers for systems with a single output and a single unknown input are developed. When the number of unknown inputs is equal to the number of system outputs, it is shown that the observer may be decomposed into a set of equivalent single output, single unknown input systems for which the previous results apply. For systems with more outputs than unknown inputs, a minimal number of outputs, derived from linear combinations of the original system output is examined. For sampled data measurements, it is shown that there are considerable practical advantages to sampling an ovserver error signal rather than the system outputs and inputs directly. A solution for the initial system state corresponding to the continuoustime stochastic smoothing filter is obtained. (Author)
Descriptors : (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, STOCHASTIC PROCESSES, TRANSFER FUNCTIONS, MATRICES(MATHEMATICS), DIFFERENTIAL EQUATIONS, FEEDBACK, THESES, COMPUTER PROGRAMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE