A Scaling LMI Approach to Output Feedback Control of Discrete-time LTI Systems

In this paper, we propose a scaling linear matrix inequality (LMI) approach to static output feedback control of discrete-time linear time invariant (LTI) plants. Based on whether the system matrix B or C is full-rank, we provide several different methods with respect to the system state dimension, output dimension and input dimension. These methods require a preprocessing to transfer B or C to a special form. We show that these approaches actually can be treated as alternative and complemental methods for existing works.