Finite-time H_? Filtering For Two Types Of Linear Switching Systems

With the development of control theory,the switched linear system has gained a lot of research results and has been widely used in practice.In the signal processing of the switched linear system,the filter design is widely used.The existing results mainly studied the asymptotic stability of switched linear systems.However,we need to focus on the transient performance of the system during a particular time period.Owing to undesired transient performance degrades the performance of system,even it will make the system out of control and may be forced to stop in engineering.Finite-time stability exactly on the transient performance can meet the engineering requirements.Therefore,this paper will study the finite-time bounded analysis and finite-time filtering problem for two classes of switched linear systems.The specific contents of this paper are as follows:(1)The first chapter mainly introduces the research background and significance of this paper,the research status of the finite-time stability of the switching system and the research status of the filter design and presents the purpose and existing problems of this paper.(2)In the second chapter,for a class of switched systems with unstable subsystems,sufficient conditions are established to ensure the boundedness of the system by using the Lyapunov function method and the average dwell time technique.Finally,a desired H_?filter is constructed for this type of systems.(3)In the third chapter,for the interconnected time-delay Markovian jump systems with partly known transition rates,sufficient conditions are proposed such that the system is finite-time bounded via the Lyapunov-Krasovskii functional method and linear matrix inequality technique.A H_?filter is also designed.