Response Analysis of Multiple-Input Multiple-Output Frequency and Singular Value Decomposition

Recently, developments in linear control theory have concentrated on the multiple-input multiple-output control systems (MIMO). Many systems, particularly in technologically advanced areas such as aerospace systems, are represented by models with several inputs, with each input having several outputs. Such cross-coupling makes the use of single-input, single-output (SISO) methods complicated. In this paper, we introduced the basic closed-loop expressions for MIMO. We then discussed 2-norms, stability, and uncertainty. The standard design problem defined and H2 solutions are worked out.