Minimal response time design for linear multivariable sampled-data control systems

Abstract

The method of minimum, finite settling time design used for single-loop systems is extended to cover multivariable systems. Sensitivity analysis is applied and results of considerable generality are derived which indicate the effects of gain changes and pole or zero movement in the plant transfer functions. A design policy is developed which satisfies the need for low sensitivity in implementation.

Further development evolves a design technique in which speed of response can be systematically traded for sensitivity. At the same time the technique satisfies the need to achieve a digital control algorithm of minimal complexity.

The method of design has been shown to be particularly relevant to systems with lightly damped open-loop modes and an example of this type of system is analysed in detail.