Design Of H₂/H_∞Robust Control Based On Multi-objective Genetic Algorithms

In the recent years, with the widely used and rapid growth of the artificial intelligence algorithms, the Genetic Algorithms is widely concerned and attended by people. In particular, the Multi-objective Genetic Algorithms, it has drawn great attention and become a research focus in the field of international control. There are many advantages, such as obtin and accumulate the knowledge of the search space, control the search process adaptively, flexible, dependable and so on. Therefore, it is a global search method, which is very efficient. From this perspective, it will be a commendable tool to solve the multi-objective robust control problem.So far, for the design and research of the mix H2/H∞state feedback controller, the scientists give a lot of achievement. There are many good methods to solve this kind of problem, for example, the Riccati method, the Linear Matrix Inequality method, the Genetic Algorithms method and so on. In this article, on the basis of previous analysis and researchment, it gives a new method, which called Multi-objective Genetic Algorithms, to design the mix H2/H∞state feedback controller of the linear time invariant system. It will show that the present method can achieve better robust performance and less conservation.The content of the paper is summarized as follows:In Chapter One, the history and actuality of rubost control theory and its characteristics and development trends.In Chapter Two, the basic concepts, principles and steps of Multi-objective Genetic Algorithms, the related problems and some relevant theorems are introduced.In Chapter Three, on the basic of the Linear Matrix Inequality method, Multi-objective Genetic Algorithms is put into use to solve the problem of mix H2/H∞state feedback hcontroller design.In Chapter Four, it presents the necessary and sufficient condition that the poles of the system fall into different LMI areas; on the basic of the Linear Matrix Inequality method, Multi-objective Genetic Algorithms is put into use to solve the problem of mix H2/H∞state feedback controller design with regional pole assignment.In Chapter Five, it presents the summary of the paper and deepens the researches that have been done, pointing out the unsolved problems and proposing the perspective on the furthermore study.