Control Analysis Method Of Hybrid Systems And Application In New Cyclone Dust Collectors

Cyclone dust collectors have been widely used in many fields such as petrochemical engineering,thermal power generation,metal smelting and powder processing.However,the separation efficiency of conventional cyclone dust collectors on 1?5?m ultrafine par-ticles is very low,which does not meet the increasingly strict laws and regulations,and the related emission standards.In recent years,the main research direction on improving the separation performance of cyclone separators is focused on the additional rotating parts.This thesis studies a new dynamic cyclone dust collector with the built-in centrifugal im-pellers.Through the high-speed rotation of the impellers,the ultrafine particles,whose size are between 1?5?m,can be effectively separated.The structure of the new cyclone dust collector is complex,which makes it difficult to describe the flow field and the force condi-tions of dusty gas by a standard theory.Meanwhile,the motion of particles in the equipment contains both continuous and discrete hybrid characteristics.Based on the control analysis method of hybrid system,the hybrid separation model of the new cyclone dust collector are mathematically modeled,the separation performance and the influence of key parameters on separation efficiency are analyzed.The obtained results are helpful to the design and op-timization of the new cyclone dust collector's structure,and the high-efficiency separation of the new cyclone separator are finally realized.First,this thesis deals with the control analysis method of hybrid systems.The mode-dependent average impulsive interval impulses,which are less conservative and more prac-tical,are introduced for the synchronization problem of hybrid impulsive switched delay system.By employing the decay rate dependent multiple Lyapunov function and the mode-dependent average dwell time switchings,the stability problem and L₂gain for a class of discrete-time switched delay systems are studied.A novel hybrid pinning delayed impulsive controller is proposed for the synchronization problem of delay reaction-diffusion systems.The designed pinning algorithm are more relax,less conservative and more practical.Nu-merical simulations are presented to illustrate the effectiveness and less conservativeness of the designed controllers and the obtained results.Finally,the application of hybrid system theory in new cyclone dust collector is stud-ied.The working mechanism of new cyclone separator is analyzed.Based on the hybrid system analysis method,the separation model of new cyclone separator is established,and the dynamic behavior of particles in the equipment is mathematically characterized.By employing the MDADT method,the finite time bound and finite time H_?performance of the hybrid separation model are studied.By employing the Runge-Kutta method,the hybrid separation model are numerically solved.The theoretical trajectories of particles are presented.The effects of the key parameters on the separation efficiency are analyzed,and the separation performance of each stage are simulated as well.By using the Monte carlo method,the relationships of critical particle diameter and separation efficiency with the key parameters are presented.The obtained results can verify the usefulness and effectiveness of the proposed hybrid separation model,and the stability operation and high-efficiency separation of the new cyclone dust collector are finally realized.