Observer-Based Feedback Stabilization

Because of technical or economical limitation, it is not easy to obtain all system state variables of practical systems. In this case, it is preferable to design a controller without using all of the state variables. In this chapter, the observer-based stabilization problem of SMJSs is considered, where either the controller or the observer is mode-dependent or mode-independent. In order to obtain LMI conditions, the encountered cross terms are handled by two different techniques separately. New variables satisfying some inequalities are introduced to tackle some non-linear terms, which are used to obtain LMI conditions ultimately.