Systematic analysis of systems with Multiple Inputs and Multiple Outputs (MIMO) is presented in this paper. MIMO systems and various techniques for decoupling are discussed, including their effect on performance. As wireless communications systems progress, the challenge is to deliver high-data-rate access with good quality of service (QOS). MIMO technology can also offer greater reliability by boosting the link due to increased spectral efficiency; this can be met by incorporating spatial multiplexing gains and antenna diversity gains. OFDM signals can be used with antenna arrays at both transmitter and receiver for maximum efficiency. As a result, we have MIMO-OFDM. A generalized predictive control for MIMO systems is considered in this paper. Stability and performance of the closed-loop system are measured by using frequency response indicators.