Abstract
This paper presents a general method to design discrete-time adaptive controllers for periodically time-varying inversely stable linear plants.
First of all, discrete-time adaptive control for periodically time-varying plants is formulated and control objective is made clear. Secondly, a general control law for achieving control objective is derived and periodicity of controller parameters is clarified. Next, a general algorithm is developed to estimate such controller parameter using plant input and output, and it is shown that according to the proposed method control objective is asymptotically achieved. In addition to the design method, necessary and sufficient conditions for inverse stability of the plants are shown. The presented design and analysis method is such general one as includes as special cases most of conventional methods for time-invariant plants.
