摘要：This paper concerns static output feedback design of discrete-time linear switched system using
switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under
arbitrary switching is first given together with 𝛾-performance evaluation. The various conditions
are given through a family of LMIs (Linear Matrix Inequalities) parameterized by a scalar variable
which offers an additional degree of freedom, enabling, at the expense of a relatively small degree
of complexity in the numerical treatment (one line search), to provide better results compared to
previous one. The control is defined as a switched static output feedback which guarantees stability
and 𝛾-performance for the closed-loop system. A numerical example is presented to illustrate the
effectiveness of the proposed conditions.
