LOW-ORDER STABILIZERS FOR LINEAR-SYSTEMS

The existence and construction of low-order stabilizers for linear sys tems are considered. Firstly, it is shown that for an all-pole plant t he stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Second ly, if this high-degree part is unstable, a method is presented to mod ify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is develo ped where only a few linear algebraic equations need be solved. Severa l examples are included for illustration of the results. (C) 1997 Else vier Science Ltd.