Output feedback controller design method of time lag positive system on the basis of linear Lyapunov method

Abstract

The invention discloses an output feedback controller design method of a time lag positive system on the basis of a linear Lyapunov method. The output feedback controller design method comprises the following steps: establishing an L1 induction performance index for a give positive system; on the basis, according to the L1 induction performance index, determining the existence conditions of a static output feedback controller which needs to be designed; and adopting an iterative algorithm to solve the existence conditions of the static output feedback controller so as to obtain an output feedback controller. The output feedback controller is simple in realization and high in application value.

Description

technical field [0001] The invention relates to a design method of an output feedback controller of a time-delay positive system, belonging to the technical field of controller design. Background technique [0002] Positive system is a kind of system that can be seen frequently in almost all fields, such as economics, ecological science, population model, social science, statistics, communication and biomedicine, etc. In physics, absolute temperature, relative temperature, The density of matter, the magnitude of voltage, displacement, etc., the amount of various substances in chemistry, the number of insect populations in biology, the number of populations at various stages in population models, etc. This kind of system has a wide range of applications in the fields of air traffic flow control, power system, system biology, economic model and chemical industry, so it has received more and more attention from researchers from different disciplines in recent years. A notable ...

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Problems solved by technology

In 2010, Bougatef and others first proposed the concept of periodic positive system and carried out preliminary research. However, due to the late start of research on periodic positive system and the difficulty of research, the current theoretical results are not satisfactory. There are still many open questions to be studied

In addition, time lag is a common physical phenomenon in the real world and engineering practice. In the control system, the aging of original devices, the wear of mechanical devices, the transmission of materials or information, and the conversion between energy often lead to the generation of time lag.

The existence of time lag makes the analysis and synthesis of the system more complicated, which will have a relatively large impact on the dynamic performance of the system. At the same time, the time lag often leads to system instability or attenuation of the performance of the control system, and may lead to system collapse in severe cases.

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