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A Nonfragile Optimal Control Method for Lipschitz Nonlinear Systems

A nonlinear system, optimal control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of poor non-fragility, no consideration of conversion accuracy and word length, system control performance impact, etc. Achieve the effect of improving non-vulnerability, good practical significance and practical value

Active Publication Date: 2022-05-24
NANTONG UNIVERSITY
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Problems solved by technology

Due to the influence of factors such as analog-to-digital conversion accuracy and word length, there are uncertainties when the controller is implemented by digital devices
However, the existing optimal control of Lipschitz nonlinear systems has the following problems: 1. The uncertainty of the system model is not considered, and the control performance of the actual system will be affected
2. Factors such as conversion accuracy and word length are not considered when the controller is implemented, and the non-fragility is poor

Method used

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  • A Nonfragile Optimal Control Method for Lipschitz Nonlinear Systems
  • A Nonfragile Optimal Control Method for Lipschitz Nonlinear Systems
  • A Nonfragile Optimal Control Method for Lipschitz Nonlinear Systems

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Embodiment Construction

[0047] The present invention will be further explained below in conjunction with the accompanying drawings.

[0048] like figure 1 and figure 2 As shown, the flowchart and the structure diagram of the non-fragile optimal control of the Lipschitz nonlinear system are respectively, and a non-fragile optimal control method of the Lipschitz nonlinear system of the present invention includes the following steps:

[0049] 1) The sensor samples the state of the Lipschitz nonlinear system with model uncertainty, uses a logarithmic quantizer to convert it into a digital quantity, and transmits it to the remote controller;

[0050] 2) During the process of quantifying data transmission to the controller, it may be lost due to network congestion or interference. The Markov chain is used to describe the data transmission process, and the controller adopts the corresponding control strategy according to the received data;

[0051] 3) The closed-loop system is described as a Markov jumpi...

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Abstract

The invention discloses a non-fragile optimal control method of a Lipschitz nonlinear system, comprising the following steps: 1) a sensor samples the state of the Lipschitz nonlinear system with model uncertainty, and converts it into The digital quantity is transmitted to the remote controller; 2) The data transmission process is described by the Markov chain, and the controller adopts the corresponding control strategy according to the received data; 3) The closed-loop system is described as a Markov jump system , based on the system model and the performance index of the system, a non-fragile infinite-time optimal controller is designed by using the linear matrix inequality. The present invention aims at the non-fragile infinite-time optimal controller design problem of the Lipschitz nonlinear system with quantized and incomplete measurement data, and provides the design method of the optimal controller, so that the system is stable and the performance index functional is minimized value.

Description

technical field [0001] The invention relates to the field of optimal control, in particular to a non-fragile optimal control method of a Lipschitz nonlinear system. Background technique [0002] Lipschitz systems are a common class of nonlinear systems that can describe many physical processes. For example, there are robotic systems with sinusoidal terms, nonlinear systems that satisfy Lipschitz conditions in a given interval, etc. When the sensor, controller, and actuator components of the system are distributed in a remote physical space, information can be transmitted over the network. The network-based control system has the advantages of low cost, good scalability and convenient installation and maintenance, and has become the trend of control system development. When the sensor measures and samples the state of the controlled system and converts it into a digital signal, it needs to be quantified. When the quantitative data is transmitted to the controller through t...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 马卫国许霞刘羡飞陈峰吴晓新
Owner NANTONG UNIVERSITY
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