Wavelet analysis method of optimal point-wise control of distributed parameter system

Abstract

The invention discloses a wavelet analysis method of the optimal point-wise control of a distributed parameter system, comprising the following steps of: detruding a differential operation matrix, a product integral operation and an element product operation matrix corresponding to Haar wavelet with the aid of an orthogonal function approximating method, and applying the differential operation matrix, the product integral operation and the element product operation matrix to the research of the problem of the optimal point-wise control of the distributed parameter system, converting the problem of the optimal pint-wise control of the distributed parameter system into a lumped parameter problem, and obtaining an approximating solution of the original optimal point-wise control of the distributed parameter system by an inverse transformation, such that the problem hardly to be solved is easy to solve and a wavelet approximating algorithm with better performance is obtained. In the invention, the provided Haar wavelet approximating algorithm is a method with better control effect, and the method provides a new way for solving the problem of the optimal point-wise control of the distribution parameter system.

Description

technical field [0001] The invention relates to the control theory and method in the field of control theory and control engineering, and in particular to a wavelet analysis method for optimal point control of a distributed parameter system. Background technique [0002] In engineering practice, due to the complexity of the system structure, the control of many distributed parameter processes is difficult to implement distributed control. In practical control problems, it is often necessary to consider the performance index of the system and the economic performance of the entire control system. On the premise of satisfying the performance index of the control system, it is more economically meaningful to select several points to control the system. Therefore, it is very important to study the optimal control problem of distributed parameter systems. Optimal point control is a typical control of distributed parameter systems, and it is usually difficult to design its contr...

AI Technical Summary

Problems solved by technology

[0003] Distributed parameter systems are usually described by partial differential equations, and the most point-form control problems often involve theories such as differential operator operations or integral operator operations, which are much more complicated than the optimal point-form control problems of lumped parameter systems

There is currently no effective way to solve this problem

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