Research On Distributed Parameter System Control Based On Sampled Data

In engineering practice,many dynamic processes can be modeled as distributed pa-rameter systems,such as material distribution in chemical reactors,temperature conduc-tion in large reheating furnaces,spatial distribution of species in ecosystems,the financial and economic system in the social system,the distribution of pollutants in an environmen-tal system in an area.Distributed parameter systems are widely used in fluid mechanics,thermodynamics,electromagnetism,tube flow control,chemical reaction diffusion control problems.The spatiotemporal coupling property makes the control of the distributed parameter systems more difficult and complicated than the lumped parameter system-s.The design of controller is a crucial part to solve the control problem of distributed parameter system.At present,most of the controllers in practical applications are im-plemented in digital way,the system is controlled by a controller based on sampled data.The traditional control methods of pure continuous or pure discrete are difficult to be applied to control systems based on the sampled data.With the further expansion of the application background and improvement of the control precision,it is urgent to develop the control theory of distributed parameter system to meet the needs of the actual society and industrial production.Therefore,the research on control of distributed parameter system has theoretical significance and practical application value.In this paper,the problems of stabilization,H? control and predictive control of distributed parameter system are discussed.Using aperiodic control technology,T-S fuzzy method,inequality technology combined with Lyapunov stability theory and stochastic control theory,a variety of control strategies and stability analysis methods are proposed.Compared with the existing results,the methods and techniques used in this paper make better control performance of the system,and relax the restrictions on the system,expand the application scope of the existing methods,and improve the relevant control theory of distributed parameter system.The main contributions of this paper include the following aspects:1.A distributed sampled data output feedback controller based on sensor network is designed to solve the problems of blind sampling area or sampling error in the sampling of a reaction diffusion system.The global exponential stability criterion is obtained for the closed loop reaction diffusion system by using Lyapunov method and linear matrix inequality technique.Finally,the numerical simulation proves the effectiveness of of the controller,and numerical comparison shows that the proposed control method is less conservative.2.To solve the problem of high frequency communication and controller update frequency in H? control of a distributed parameter system with actuator fault,a sampled data fuzzy controller based on event trigger is designed.The controller can significantly reduce the unnecessary data transmission and controller update frequency.The stochastic exponential stability criterion of the closed-loop system with performance index of H? is obtained by using Lyapunov method and linear matrix inequality technique.Moreover,the controller parameters are designed.Finally,the simulation analysis of temperature control of chemical catalytic rod illustrates the effectiveness of the controller,and the numerical comparison shows that the control method is applicable to a wide range and less conservative.3.For a class of T-S fuzzy distributed pa.rameter system H? control in high frequency communication and controller update issues,an output feedback fuzzy controller based on adaptive event trigger is designed.The controller can make adaptive adjustment according to the change of the system itself,which can reduce the transmission amount of sampled data and the update frequency of the controller to the greatest extent.The stochastic exponential stability and the performance index of H? of the closed-loop system is obtained by using Lyapunov method,the stochastic control method and linear matrix inequality technique,and the controller parameters are designed.Finally,the simulation analysis shows the effectiveness of the control method,and the numerical comparison shows that the control method is applicable to a wide range and less conservative.4.To solve the time-varying delay caused by communication network in signal trans-mission of a distributed parameter system,an predictor based on event-triggered sampled data is proposed,which can effectively eliminate estimate the distributed parameter sys-tem with network time-varying delay and reduce the unnecessary transmission of sampled data.Moreover,the predictor-based controller is designed.By using Lyapunov method,the weak infinitesimal generator and linear matrix inequality,the exponential stability criterion of the closed-loop system based on predictive control is obtained.In addition,the feedback gain and maximum allowable packet loss are obtained.Finally,a food web model is used to illustrate the validity of the control method.