A Preset Performance Control Method for Non-triangular Structured Systems Independent of Initial Conditions

Abstract

The invention discloses a preset performance control method for a non-triangular structure system that does not depend on initial conditions. The specific idea is as follows: firstly, a dynamic model of a non-triangular structure nonlinear system is established; then a structure is constructed by using neural network and variable separation technology A simple state observer; then construct a transition transfer function with specific properties to nonlinearly transform the tracking error; finally use the restricted Lyapunov function theory to design a preset performance controller based on output feedback and independent of initial conditions. The preset performance control method of the present invention can ensure that the tracking error converges from an arbitrary bounded initial value to a given accuracy range at a given speed and within a given time, which not only eliminates the requirement that the conventional preset performance control method must meet The initial condition is constrained, and the time for the tracking error to converge to a given accuracy range can be preset, which improves the practicability of the preset performance control method.

Description

technical field [0001] The invention relates to the technical field of preset performance control of a nonlinear system, in particular to a preset performance control method for a non-triangular structure nonlinear system independent of initial conditions. Background technique [0002] In order to improve the safety, reliability and efficiency of system operation, the actual engineering system has higher and higher requirements for system performance with the development of science and technology. It is often hoped that the system has a sufficiently fast convergence speed, a sufficiently high tracking accuracy and a sufficiently small overshoot amount etc. It is worth pointing out that the existing correlation control algorithms generally can only ensure that the tracking error converges to a certain predetermined accuracy range when the time tends to infinity (not a given time), and the effectiveness of the algorithm is usually limited by the initial conditions of the syste...

AI Technical Summary

Problems solved by technology

[0003] In addition, most of the existing methods only study the preset performance control method of the triangular structure system

In fact, the engineering system itself may not have a triangular structure or its original triangular structure may be destroyed due to the influence of uncertainty

However, for non-triangular structured systems, using conventional control design methods or techniques for dealing with triangular structured systems will introduce algebraic loop problems, making controller implementation difficult or even infeasible

On the other hand, due to the limitation of measurement technology or measurement cost, it is often impossible to accurately measure all the states of the system

Images