Robust H∞ Performance Analysis and Controller Design of Uncertain Generalized Delta Operator System
This paper mainly studies the problem of robust control and robust performance analysis for the uncertain generalized Delta operator system.In the study process,firstly,in order to ensure that the system has robust admissible performance,the relevant definition of generalized quadratic admissible performance is introduced.Then,through the linear matrix inequality and with the support of sufficient necessary conditions,the studied system is generalized to a quadratically admissible system with specified performance.Subsequently,based on these conclusions,the design of the robust controller of the system is considered.According to the linear matrix inequality,the conditions required for the existence of a suitable robust controller are obtained,and the corresponding design method is given by solving the LMI.At the same time,a numerical example is used to illustrate the validity of the conclusions in this paper through Matlab software.
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