Output Feedback Control Of The Generalized Delta Computing Subsystem

The singular system is relative to traditional normal system.In the structure,the difference between them is that E is a singular matrix in the singular system,so the study of the singular system is more complex and more challenging.The existence of the singular system is more common in actual system,and singular system has its model in many practical fields.Delta operator is a new method of describing discrete system.It not only can make up for the defects caused by the z transformation of the system described by the traditional shift operator,but also has its own advantages.For example,it can build a bridge between discrete system theory and continuous system theory,and so on.H_?control is a very important method in robust control,and it is very convenient in optimized design of the system.In this paper,we mainly discuss the problem of output feedback admissible control and output feedback H_?control of singular Delta operator system.The necessary and sufficient conditions are given in the form of matrix inequalities,and the corresponding static and dynamic controllers are designed based on the solution of the inequality.Finally,numerical examples are given to demonstrate the theoretical results in this paper.The results showed that the designed static and dynamic output feedback controllers can ensure that the closed-loop systems are admissible or have H_?performance index gaccording to the method in this paper.Thus,the designed controller is effective and feasible.The study has theoretical reference value for the condition of state feedback cannot be realized in actual engineering.