Output Feedback Controllers Synthesis with Practical Pole Clustering for Descriptor Systems

TLDR: The sufficient and necessary conditions for the poles of the closed-loop descriptor systems to locate in an LMI region are given in this paper in terms of only one positive definite matrices P, Hence the controller gain matrix K can be obtained explicitly.

Abstract: The sufficient and necessary conditions for the poles of the closed-loop descriptor systems to locate in an LMI region are given in this paper in terms of only one positive definite matrices P. Hence the controller gain matrix K can be obtained explicitly. Compared to the literature, the exact eigenstructure assignment problem for descriptor systems is usually solved via extremely constrained procedures. On the other hand, for the LMI region pole clustering problem, the solvable conditions are expressed in terms of two positive definite matrices P and Q. Consequently, The controller gain matrix K can not be obtained explicitly. An example has been solved in the literature using a complicated procedure of eigenstructure assignment is solved significantly easier as a demonstration.