Abstract
The presence of set-valued mapping affects the stability of the output of the lure system, adding to the difficulty in observer design. To overcome the difficulty, the author mapped the system output error to the nonlinear term of the framer, creating a framer of the extended Luenberger structure, and analyzed the coordination of the error system by the monotonic system theory. On this basis, the interval observer was designed for the lure system. Then, the lure system and its observer systems were proved as asymptotically stable. Finally, it is proved that the observer system trajectory always followed the original state trajectory through the simulation under the different selections of set-valued mapping.
Highlights
IntroductionDue to the wide range of uncertainties in the actual system, the research on uncertainty has received extensive attention
Due to the wide range of uncertainties in the actual system, the research on uncertainty has received extensive attention.e reasons for the system uncertainty are as follows: modeling error, measurement error, environmental noise, unknown input, and control factors such as failure of the actuator or actuator, external disturbance, and parameter changes
Since the system state cannot be accurately estimated in real time, only the lower and the upper bounds about the state can be given, so the concept of the interval observer is born. e research and application of the interval observer can realize the determination of the state change interval and solve some uncertain problems based on the uncertain method. e main design methods of interval observers so far are limited, and most of them are for linear systems
Summary
Due to the wide range of uncertainties in the actual system, the research on uncertainty has received extensive attention. Since most actual control systems are nonlinear in nature, the interval observer design theory for uncertain nonlinear systems has been developed. It is a very important research significance. Is paper will output the error of the system, the nonlinear term of the frame phaser is mapped to the frame phaser of the extended Luenberger structure, and the coordination of the error system is analyzed based on the monotonic system theory. The coordination of the error system was analyzed by the monotonic system theory On this basis, the interval observer design of the lure system was put forward and verified by an algorithm
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
