The Analysis Of Actuator Gain Value Tolerate Interval Based On Pole Placement

Since the reliable control was proposed, some design methods of the reliable controller are also proposed. Reliable control includes the sensor and actuator faults into the controller design process to ensure stability and performance of the closed-loop system. But this method not only increases the conservatism of the system, but also increases the system energy consumption, then the cost is improved. And in the real production, it is difficult to find the controller can meet the conditions, that is to say that the design of this kind of system reliability is perfect, but the sacrifices are without fault, under normal circumstances, the performance of the system and the waste of energy and resources, so the proposed hardware redundancy rate is very necessary. Hardware redundancy rate refers to increase the number of the key parts in the system, and use the same component to collect the signal of the system using same channel or multi-channel to realize the system reliable control task. The number of each channel member redundancy rate depends on the components of the system performance influence, so that each part of the scheduling problem of system is very important. In the real life, we are using hardware redundancy to solve the channel when the fault occurred problems, including hardware redundancy are to find out through the experience, this invisible appeared a lot of uncertainty. This paper is to give a practical algorithm, avoided the uncertainty, meet the reliability of the system, but also saves the cost.In the first chapter, it is the introduction, introduced the development status of reliable control, current research situation of regional pole assignment problems of linear system under the research results and tolerance interval. The second chapter uses mathematical theory basis, introduce in this paper the mathematical concept, involved in the process of writing to the formula in lemma and thesis writing. The third chapter to the fifth chapter is the main research results of this paper. The third chapter is for a class of linear systems, discussed in the vertical bar area, tolerance interval actuator channel problem, gives the definition and algorithm of the tolerance interval, and the linear matrix inequality a simulation example is given by. The fourth chapter is the same in the linear system, discussed in the generalized sector, tolerance interval actuator channel problem, gives the definition and algorithm of the tolerance interval, and the linear matrix inequality a simulation example is given by. The fifth chapter is the further study on the basis of the two chapters do, in a trapezoidal region pole assignment, analysis of tolerance interval actuator channel, gives the definition and algorithm of the tolerance interval, and the linear matrix inequality a simulation example is given by.The results of this study, the most important work is the tolerance interval algorithm is presented, and its feasibility is proved. At last, a summary to the full text.