Robust control design of descriptor systems using eigenstructure assignment

The robust control design of descriptor systems using eigenstructure assignment is presented in this paper. It considers both the desired closed-loop eigenvalue assignment in the time domain and the minimization of a robustness index in the frequency domain so that the time- and frequency-domain performance specifications are combined in the controller design. An explicit parametric solution for eigenstructure assignment for multivariable descriptor systems is derived by considering both analytical expression and numerical computation. It provides a very useful parametric formulation for optimal robust control design. The robustness index is minimized by making full use of the freedom provided by explicit parametric eigenstructure assignment.