Finite-time H∞ control for nonlinear discrete Hamiltonian descriptor systems

This paper studies the finite-time H∞ control problem for the nonlinear discrete Hamiltonian descriptor system (NDHDS). Firstly, based on a proper state-feedback controller, a strict dissipative system, which is equivalent to the NDHDS, is obtained. Then, two sufficient conditions are derived for finite-time boundedness and finite-time H∞ boundedness of the strict dissipative system, and the obtained results are applied to finite-time H∞ control problem for the NDHDS. Finally, a simulation example is given to illustrate the effectiveness of our results.