Robust H∞ control for linear discrete-time systems with norm-bounded time-varying uncertainty

Abstract

The problem of robust H ∞ analysis and synthesis for linear discrete-time systems with norm-bounded time-varying uncertainty is studied in this paper. It will be shown that this problem is equivalent to the problem of H ∞ analysis and synthesis of an auxiliary system. The necessary and sufficient conditions for the equivalency are proved. Thus the original problem can be solved by existing H ∞ control methods.