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 Liapunov-like 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