Simultaneous and Sequential Control Design for Discrete-Time Switched Linear Systems Using Semi-Definite Programming

The control of switched linear discrete-time systems occurs in multiple engineering fields, where it has been used to deal with complex and non-linear systems. This letter presents two strategies design laws for systems, whilst guaranteeing asymptotic stability the closed loop. Firstly, an arbitrary switching signal is considered. In this scenario a common quadratic Lyapunov function stability, but subsystem functions are employed improve local performance. Secondly, constrained signal, associated lower dwell time bounds studied. case, decrease cost achieved by design, based on constraints only, thus removing need both or direct stable switches. It shown cases that problems can be formulated as one sequence semi-definite programming problems, therefore solved efficiently. Finally, examples provided order illustrate different techniques presented.