Finite-time control for linear discrete-time systems with input constraints

Finite-time stabilization (FTS) and finite-time boundedness (FTB) control with input constraints are considered for linear discrete-time time-invariant systems. Design methods of state feedback and observer-based output feedback FTS/FTB controllers that satisfy input constraints are proposed based on reachable sets in finite-time period. Less conservative design method of controllers for the maximum magnitude of input signals is also given. Numerical examples are shown to illustrate the proposed design methods.