Abstract
This paper deals with the following two design methods of finite-time settling control system (FTSCS) with softening filter for general one-input and one-output linear controlled object. One is the design of FTSCS under the input saturation, and another is that minimizing the quadratic performance index. The structures of the systems designed by proposed methods are more simple than those by conventional methods. And it is shown that the design parameters are easily and briefly specified by using some polynomials describing the filter and the state feedback elements. To demonstrate the effectiveness of proposed methods, some numerical examples are also presented.