
Accession Number : AD0654632
Title : ANALYSIS AND SYNTHESIS OF DISCRETETIME SYSTEMS WITH CONTROL SIGNALS OF VARIABLE AMPLITUDE AND PULSEWIDTH.
Descriptive Note : Technical rept.,
Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF ELECTRICAL ENGINEERING
Personal Author(s) : Nardizzi, L. R.
Report Date : JUN 1967
Pagination or Media Count : 126
Abstract : The problem considered consists of a general class of openloop control systems which are driven by modulators whose output signals have either variable amplitude, pulsewidth or combinations thereof. The admissible control set consists of rdimensional control vectors, each component of which is bounded in amplitude and allowed at most one discontinuity (switching) within a sampling interval. The state vector representing the system to be controlled is n dimensional and the righthand sides of the first order differential equations describing the system are continuous and have continuous first derivatives with respect to the states and the control inputs. The performance criterion to be minimized consists of a function of the states at the sampling instants and also a function of the states between the sampling instants. For the stated problem, general necessary conditions for an optimal sequence of amplitudes and pulsewidths are derived. These necessary conditions will apply to strict pulseamplitude or pulse width modulation by simply deleting various parts of the general conditions. The computational and engineering aspects of the necessary conditions are dealt with in order to compare various forms of modulation. A number of examples illustrate the diverse nature of the openloop solutions for different types of modulation. Based upon these openloop solutions, a method is proposed which generates an approximate solution to the closedloop problem. (Author)
Descriptors : (*CONTROL SYSTEMS, MODULATION), TIME, OPTIMIZATION, AMPLITUDE MODULATION, PULSE DURATION MODULATION, SENSITIVITY, PERTURBATION THEORY, MATHEMATICAL ANALYSIS, DIFFERENTIAL EQUATIONS, SYNTHESIS.
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE