This paper presents an interval bilinear approximation method to convert a continuous-time state-feedback robust control law to an equivalent discrete-time counterpart for robust digital control of a continuous-time uncertain system. For performing the digital redesign of a continuous-time uncertain system, the given continuous-time uncertain system is converted to a tightly bounded equivalent discrete-time uncertain model using the bilinear approximation method aided by the interval arithmetic operations. Also, utilizing the interval bilinear approximation method, the continuous-time robust control law is converted to an equivalent discrete-time interval control law. Applying this digitally redesigned control law, the states of the digitally controlled sampled-data uncertain system closely match those of the original continuous-time controlled uncertain system. A numerical example is presented to demonstrate the effectiveness of the proposed method.
|Number of pages||22|
|Journal||Control, theory and advanced technology|
|Issue number||4 pt 4|
|Publication status||Published - 1995 Nov 1|
All Science Journal Classification (ASJC) codes