Parameter Plane Design Method

摘要

When analyzing or designing a control system, it is important to study the effects on overall system performance of varying one or more parameters (mass, inertia, gain, resistance, etc). It is equally important to determine whether a desired dynamic behavior can be achieved with any set of values for the parameters...if not, redesign is indicated. The analysis and synthesis of linear feedback control systems, or the compensation of same, can be realized by parameter plane methods. The parameter plane method, which works well for two variable parameters and which may be extended to three or more parameters, is purely algebraic, and the resulting plots are valuable aids to analysis. Furthermore, the performance index cost curves in terms of integral-square error and other cost functions can be superimposed on the parameter plane graphically. The object of this thesis is to develop a user friendly interactive computer program to plot families of performance index cost curves. A secondary objective is to demonstrate the use of these curves in the design of the system. The design procedure starts with the performance index cost curves superimposed on parameter plane curves. The result of the analysis is a choice of values for the parameters such that the system performance is the best available compromise between transient performance and cost. (KR)