Accession Number : AD0286970

Title :   FEASIBILITY STUDY AND EXPERIMENTAL MODEL OF AN OPTIMAL CONTROL SERVOMECHANISM

Corporate Author : AERONCA MFG CORP BALTIMORE MD

Personal Author(s) : MAXWELL,D.J.

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : Pontrjagin's maximum principle is reviewed briefly and applied to a second-order linear system. The resultant control for ti e optimality is shown to be bang-bang extremal torque for step plus ramp type inputs. The closed form of the switching function which results in time optimal control is derived by integrating the system equations backwards in time. The time response (with zero overshoot) of generalized second-order time optimal linear system to a broad class of step and ramp inputs is determined by computer simulation. It is shown how the performance of any system of the same form (one zero root and one negative real root) may be compared with the optimal system considered as the standard. A particular linear saturated system is simulated as an example. Further computer simulation is performed to determine performance degradation to switching function parameter variations and to various approximations to the optimal switc ing function. A feasibility servomechanism is constructed, tested and compared with linear saturated control. Feasibility is discussed in terms of tractability of optimal control theory to practical problems, implementation feasibility, and operational advantages and disadvantages. An alternate method of implementating the switching surface is described in detail. (Author)

Descriptors :   *SERVOMECHANISMS, *SERVOMOTORS, *SWITCHING CIRCUITS, ANALOG COMPUTERS, COMPUTER LOGIC, CONTROL SYSTEMS, ERRORS, FEASIBILITY STUDIES, LINEAR SYSTEMS, MATHEMATICAL ANALYSIS, MODEL TESTS, SENSITIVITY, SIMULATION, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE