Disturbance Attenuation Properties for Discrete-Time Uncertain Switched Linear Systems
نویسندگان
چکیده
In this paper, we study a class of discrete-time switched linear systems affected by both parameter variations and additive l∞ bounded disturbances. The problem of determining upper bounds on the l∞ norm of the output is investigated. First, we study the condition under which the switched systems have finite l∞ induced gain. Secondly, the l∞ induced gain is calculated for such switched system under arbitrary switching signals. Thirdly, we answer the question whether there exists proper switching mechanism for such switched system to achieve a given disturbance attenuation level. The techniques are based on positive invariant set theory.
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