Sampled-data Control Design Of Finite-time Bounded For Switched Systems

In order to further implement the concept of agricultural modernization development and promote the refined development of smart agriculture,the finite-time and boundedness research on switched systems with multiple subsystems has gradually become the focus of research in the field of agricultural machinery control.Finite-time stability is to ensure that the real-time state of the system operation does not exceed the predetermined boundary range within finite-time under the given initial boundary conditions.It not only allows the trajectory of the system to gradually approach the expected value qualitatively,but also can accurately give the specific state performance at each moment when the system is running.In order to further meet the needs of practical engineering,the additional disturbance in the actual system is considered in the qualitative stability analysis,and the finite-time stability analysis of the system will be transformed into the finite-time bounded analysis.At the same time,by analyzing the finite-time boundedness with₂ gain,it can also be estimated that the system’s self-anti-interference ability when receiving external disturbances.Therefore,in this paper,the finite-time boundedness of switched systems with multiple switching in actual operation has been sampled-data controlled to reduce the system data collection and software and hardware costs during operation.In addition,the finite-time boundedness with₂ gain of the switched systems has also been analyzed,and the disturbance tolerance capacity of the system has been estimated.The main research contents of this paper are as follows:（1）Design of finite-time stability for switched systems with saturation actuatorsThe finite-time stability of switched systems with time-delay and saturation actuators has been studied.A digital state feedback controller and a digital output feedback controller are designed for the system states which are measurable and unmeasurable respectively.In addition,the corresponding sufficient conditions for the closed-loop switching system to achieve finite-time stability under the designed controller are given by using the comparison function method,and the relationships among the parameters of the designed controller are reflected in the form of images.（2）Sampled-data control design of finite-time bounded for switched systems with time-varying delayThe finite-time bounded problem for time-varying delay switching systems is studied.The sufficient conditions for finite-time stability and finite-time bounded switched system with time-varying delay are given through the sampled-data control,and the ₂L gain of the switched systems with time-varying delay is determined to measure the disturbance tolerance capacity of the switched systems in finite-time.At the same time,aiming at the mismatched error caused by the delay between the active switching subsystems and the passive matching controllers in the sampling period,a new switching condition is proposed to ensure the finite-time bounded of the switched systems with time-varying delay through the sampled-data control of the mode-dependent average dwell time method.（3）Sampled-data control design finite-time bounded for sector-bounded nonlinear switched systemsThe finite-time bounded problem of sector-bounded nonlinear switched systems with time-delay is studied through sampled-data control,and the sufficient conditions for the closed-loop switched systems to achieve finite-time stability and finite-time bounded under the control of the designed controller are given respectively.The finite-time boundedness with L₂ gain is further studied to measure the disturbance tolerance capacity of the switched systems.At the same time,the prominent problem of the switched systems under sampled-data control,that is,the synchronization or asynchronous switching caused by the mismatch between the controllers and the subsystems,is discussed in detail.