Synchronous control design method of coronary artery time delay system
A coronary artery and time-delay system technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as oscillation or performance degradation, chaos, system instability, etc., to aggravate instability and reduce conservative effect
Inactive Publication Date: 2021-08-06
TIANJIN POLYTECHNIC UNIV
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Problems solved by technology
However, many studies have ignored the problem of time lag. In clinical practice, different patients absorb drugs at different times. The existence of time delay will lead to system instability, oscillation or performance degradation.
[0004] Due to the existence of external interference and time-delay problems, many theoretical researches still have a lot of conservatism, which may reduce system performance and cause chaotic behavior of the system.
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[0045] The present invention will be further described in detail below in conjunction with the accompanying drawings and the calculation example simulation method.
[0046] A biomathematical model of the master-slave system of the coronary artery is constructed considering the time-delay problem, where the master system is expressed as:
[0047]
[0048] where x 1 (t) represents the system state and its initial value is and is a known constant matrix, t is a time variable, ω 1 (t) is the external disturbance, h(t) is a time-varying delay function and satisfies 0≤h(t)≤h M , f 1 (x 1 (t), t) represents a nonlinear term;
[0049] The slave system can be expressed as:
[0050]
[0051] In the formula Represents the slave system state and its initial value is f(x 2 (t), t) and ω 2 (t) respectively represent the nonlinear function and external disturbance of the slave system, u(t) represents the control input and makes the master-slave system synchronized;
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The invention provides a synchronous control method of a coronary artery time delay system and belongs to the field of intelligent control. The method comprises the following steps of (1) constructing a mathematical model of the coronary artery time delay system to obtain an error system; (2) introducing an intermediate polynomial-based function with a variable parameter, and reducing the conservative property of the system by adjusting the variable parameter; (3) considering a time delay problem in a nonlinear system, constructing an L-K functional function with triple integrals, and obtaining a new criterion of system stability by using the Lyapunov theory; (4) considering existence of a nonlinear term, and using a cone complementation linearization method to solve a nonlinear optimization problem; and (5) enabling an error between the coronary artery master system and the coronary artery slave system to tend to zero by using a state feedback controller, and synchronizing a lesion system with a health system. According to the method, the conservative property of the coronary artery time-delay system is reduced, the system is ensured to meet the performance, the diseased coronary artery system and the healthy system are synchronized, and a patient can be better treated.
Description
technical field [0001] The invention belongs to the field of intelligent control, in particular to a synchronous control method of a coronary time-delay system Background technique [0002] In recent years, due to the wide application of chaos synchronization control in medicine, biology, informatics, finance and other fields, chaos synchronization control has been paid more and more attention by researchers. The coronary system is a nonlinear system that exhibits chaotic behavior under different conditions. The application of chaos theory to the fields of biology and medicine was first proposed in the 1980s, which greatly promoted the development of related fields of biology and medicine. [0003] In practical applications, because of the important role of coronary arteries in transporting oxygen and nutrients, people pay more and more attention to the chaotic behavior of cardiovascular and cerebrovascular systems, so the research on this aspect is very meaningful. Howeve...
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Login to View More IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 赵占山曹秋霞张静孙杰王占刚陈云军
Owner TIANJIN POLYTECHNIC UNIV