
Accession Number : AD0703660
Title : CONTROL OF NONLINEAR SYSTEMS IN REGIONS OF STATE SPACE.
Descriptive Note : Technical rept.,
Corporate Author : HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS
Personal Author(s) : Gershwin,Stanley B. ; Jacobson,David H.
Report Date : JAN 1970
Pagination or Media Count : 48
Abstract : Recently, a nonlinear controllability theory based upon Liapunovlike notions was developed. In this paper the theory is generalized and strengthened, and a wider class of nonlinear systems is considered. In particular, conditions for controllability of a dynamic system which is subject to state variable inequality constraints are obtained. It is shown that initial conditions which are interior to a certain ellipse can be made to generate trajectories which remain in that ellipse and which reach the desired terminal state. When the ellipse is a subset of the feasible region of state space the trajectory clearly remains in this region (i.e. the state variable inequality constraints are satisfied). A design procedure for finding the largest such ellipse is given, and illustrative examples are presented. In addition, stabilization of constrained dynamic systems is considered. (Author)
Descriptors : (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*NONLINEAR SYSTEMS, STABILITY), DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE