The Controller Design And The Analysis Of The Experimental For The Networked Control System Under Hyper-sampling Mode

There are many directions in the study of networked control systems(NCSs),which are including the sampling period,data packet dropouts,network-induced delay,network scheduling and eta.In this book,we will mainly focus on the design of the state feedback controller based on the thought of the asymptotic behavior of the critical characteristic roots from my tutor's new book"Analytic Curve,Frequency-Sweeping Framework,and Complete Stability of Time-Delay Systems" which has published.Similarly,the theoretical basis of the sampling period of the NCSs from the third part of my tutor's book"Optimal Design of Distributed Control and Embedded Systems",and studying the methods for solving the stability region of the NCSs.First and foremost,considering the complexity of the problem,we should determine the stability region under the standard single-sampling period for the conditions of a given model,this step can be easily obtained by solving some appropriate linear matrix inequalities(LMIs).In the boundary of the stability region,which is the critical stable state,we use the sampling period mode instead of the standard single-sampling mode,and then according to the continuity of the system,using the method of the parameter scanning for the first time to expand the stability region of the system.We next propose a new idea at the new boundary of the stability domain that redesign the feedback controller gain matrix by analyzing the asymptotic behavior of the critical eigenvalues,more precisely,we should adjust the feedback gain matrix by analyzing the asymptotic behavior of the critical roots with respect to the elements of the feedback gain matrix so that the root loci can converges to the unit circle and we may obtain a new feedback gain matrix such that the NCS is asymptotically stable for some hyper-sampling periods.Then,we may apply the above step in an iterative manner such that more new feedback gain matrices may be obtained,enlarging further the corresponding stability region.And last an illustrative example shows that the stability region under the hyper-sampling period may lead to a smaller average sampling frequency guaranteeing the stability of the NCS,which simply means that less system resources are required by the hyper-sampling period.Finally,to illustrate the method proposed above an experimental platform of motor speed data acquisition based on LabVIEW is established.The experimental platform consists four primary component:a direct current(DC)brushed motor,a DC tachogenerator,a data acquisition(DAQ)card,a photoelectric encoder and a laptop.In this part,the mathematical model of the system is firstly established,and then,the maximum sampling period in the stable region under the hyper-sampling mode is used as the sampling control signal transmitted to the data acquisition card so that the data acquisition card can obtain the real-time information of the DC speed motor and the optical encoder.At last,observing the different dynamic performances of the DC speed motor.Therefore the verification of the theory is completed.