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A H∞ Control Method for Networked Markov Hopping System with Packet Loss

A jump system and control method technology, applied in the field of networked Markov jump system H∞ control, can solve the lack of Markov jump controlled object research and discussion, lack of controller design method, lack of system mode transition probability, etc. question

Active Publication Date: 2022-05-20
HUZHOU TEACHERS COLLEGE +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] 1) Most technologies only consider S / C packet loss or C / A packet loss, and assume that the state of the system is measurable. There is no controller design method based on observers that considers both S / C packet loss and C / A packet loss;
[0005] 2) The controlled object considered by most technologies is a linear steady system, and there is a lack of research and discussion on the controlled object of Markov transition;
[0006] 3) Most technologies assume that the transition probability of the system mode is known, and lack the design method of the observer gain matrix and the controller gain matrix under the condition that the system mode and the transition probability of packet loss are partially unknown;

Method used

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  • A H∞ Control Method for Networked Markov Hopping System with Packet Loss
  • A H∞ Control Method for Networked Markov Hopping System with Packet Loss
  • A H∞ Control Method for Networked Markov Hopping System with Packet Loss

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Embodiment Construction

[0076] Use random variables α(k), β(k) to describe S / C packet loss and C / A packet loss respectively: when α(k)=1 (β(k)=1), no S / C(C / A) packet loss; when α(k)=0 (β(k)=0), S / C(C / A) packet loss occurs. The structure of the networked Markov jump system with packet loss between S / C and C / A is as follows: figure 1 shown. The controlled object is a Markov jump system, and its state equation is:

[0077]

[0078] where x(k) is the state of the system, u(k) is the control input, ω(k) is the external disturbance, y(k) is the system output; A δ(k) , B δ(k) , B ωδ(k) , C δ(k) ,D ωδ(k) is a real constant matrix with appropriate dimensions; δ(k) takes values ​​from the set φ={1,2,…,g}, and its transition probability matrix is ​​Q=[q mn ],q mn =Pr{δ(k+1)=n|δ(k)=m}, Construct the observer on the controller side:

[0079]

[0080] in is the state of the observer, is the output of the observer, L is the gain matrix of the observer to be determined, is the system output r...

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Abstract

The invention discloses a networked Markov jump system H∞ control method with data packet loss. Firstly, an observer is constructed at the controller end, and a balance between the sensor and the controller and between the controller and the actuator is established. The closed-loop system model of the networked Markov jump system with data packet loss is given. The sufficient and necessary conditions for the stochastic stability of the closed-loop system are given, and the controller gain is given under the condition that the system mode and the data packet loss transition probability are partially unknown. matrix, observer gain matrix, and the solution method for the minimum perturbation suppression performance index.

Description

technical field [0001] The invention belongs to the technical field of network control, and in particular relates to an H∞ control method of a networked Markov jump system with data packet loss. Background technique [0002] With the development of control technology, the application scope of Networked Control System (NCS) has become more and more extensive, including industrial system field, aerospace field, robot manufacturing field, intelligent remote sensing field, etc. Data packet loss is one of the basic problems of NCS. Data packet loss exists not only between the sensor to the controller (Sensor to Controller, S / C) but also between the controller to the actuator (Controller to Actuator, C / A). between. [0003] The loss of data packets will affect the performance of the system, and may even lead to system instability. In the research of packet loss in NCS, many technologies have emerged. In the existing technology, there are mainly three methods for dealing with th...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B17/02
CPCG05B17/02Y02P90/02
Inventor 王燕锋孙晓玥许虹怡沈应华
Owner HUZHOU TEACHERS COLLEGE