The Design Of Controller For Linear Systems Base On The Admissible Control

As the most mature and basic part of the modern control theory,the linear system has the complete theoretical system,computing method,and design framework.And the linear system are widely used in practical engineering,most of the systems within the normal operating range can be represented and computed in a linear system.The design of controllers for the linear systems is the hotspots in control filed,according to the different requirements of the linear system,there are many design methods of the controller.So in this thesis,we take advantage of the characteristic for the admissible control to enable the system trajectories to reach zero points from the initial point within a given time,and apply the admissible control to the general linear continuous systems.Then by using the moment theories we improve the admissible control problem,finally we make the linear continuous system can reach the given target value from the initial value within a given time,and a controller with target information is obtained.In this thesis,we design the linear systems with the different dimensions and obtain the effective controllers.And the correctness of the result is proved by the numerical examples and corresponding images.In Chapter 1,we introduce the background and the related concept of the linear systems and its application in the practical engineering,as well as the research achievements in recent years.In Chapter 2,some elementary knowledge is given,the concept of the admissible control and the related knowledge of the moment problem are introduced.And the Markov moment problem and the Hausdorff moment problem are introduced separately,as well as the transformation process between the improvement of the admissible problem and the moment problem.These establish a certain theoretical foundation for the controller design for the linear continuous system in the Chapter 3.In Chapter 3,it devises mathematical model from the linear continuous system with the target information by means of the knowledge point in Chapter 2 mainly.In Chapter 4,the controllers of the different dimensions for the linear continuous system with the target information are obtained.And the numerical examples verify the effectiveness of the controller with the target information.In Chapter 5,the whole thesis is summarized,and proposed some problems which are not solved in the paper.