Tolerance Interval Analysis Of Uncertain Parameters Based On Regional Pole System

Nowadays,the development trend of modern control engineering system has become large-scale and trivial.In particular,the development of control systems such as aerospace,chemical,and nuclear utilization is particularly rapid.In real life,people want the control system to be stable and normal,and it has a goal-oriented,idealized function.However,it is impossible for the system to maintain asymptotic stability and good performance forever,because the system will have uncertainties that can not be estimated or even failures in the practical life.Current system designers have designed reliable controllers to solve various problems in the system.That is,when the system has no fault,it can run and work very smoothly.On the contrary,the designed controller can be used to keep the system stable.The disadvantage of this is that even if the system is asymptotically stable under failure,the system conservatism will be enhanced and energy waste will occur.In order to overcome this problem,we study the tolerance interval question.Because the control system has robust stability.That is,when the uncertain parameters of the system fluctuate within the allowable range of the system,the system is still asymptotically stable and has good performance.If the designer can get the calculation method of the tolerance interval,the system designer can design a perfect control system by referring to the tolerance interval of each uncertain item.This will reduce the system's conservatism and avoid waste of resources.In chapter 1,we briefly introduce the results of pole assignment and tolerance interval of linear systems,describe the static and dynamic output feedback problems of control systems.We finally describe the main work and research results of this paper.In chapter 2,we mainly show the basic theories of mathematics,such as mathematical symbols,concepts and lemmas.In chapter 3,we mainly discuss the problem of the tolerance interval of uncertainty in the static output feedback system in the disk region.According to the knowledge of numerical simulation,we prove the concept of uncertainty tolerance interval of disk region system.We present an algorithm to prove the validity of the conclusion.In Chapter 4,on the basis of ensuring the pole placement in the disc area in Chapter 3,we discuss the dynamic output feedback,analyze the problem of the single uncertainty tolerance interval of the control system,and compare the static output feedback with the dynamic output.In Chapter 5,we mainly discuss the problem of the tolerance interval of uncertainty in the static output feedback system in the strip region.According to the knowledge of numerical simulation,we prove the concept of uncertainty tolerance interval of strip region system.We present an algorithm to prove the validity of the conclusion.