Abstract
This paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection between theoretical results and practical applications. The authors introduce unknown control coefficients, and the values of the upper and lower bounds of the control coefficients are generalized by constants to allow arbitrary values to be arbitrarily large or arbitrarily small. In the control design program, the design problem of the controller is transformed into a parameter construction problem by introducing appropriate coordinate transformation. Moreover, we construct an output feedback practical tracking controller based on the dynamic and static phase combined by Ito stochastic differential theory and selection of appropriate design parameters, ensuring that the system tracking error can be made arbitrarily small after some large enough time. Finally, a simulation example is provided to illustrate the efficiency of the theoretical results.
Highlights
In the field of control theory, there are two important research directions, one is the analysis of the stability of the complex system and the other is the tracking problem of the target signal
There is no discussion of control issues. e nonlinear growth condition is a hypothetical limitation on the nonlinear term, which is within a certain constraint
We consider the output feedback practical tracking problem for a class of stochastic nonlinear systems with unknown control directions. e system studied in this paper introduces unknown control coefficients, and the values of the upper and lower bounds of the control coefficients are generalized by constants to allow arbitrary values to be arbitrarily large or arbitrarily small
Summary
In the field of control theory, there are two important research directions, one is the analysis of the stability of the complex system and the other is the tracking problem of the target signal. Erefore, it is necessary to study the uncertainty of the control effect Based on this consideration, we consider the output feedback practical tracking problem for a class of stochastic nonlinear systems with unknown control directions. Based on the research of the output tracking control problem for nonlinear systems, the concept of introducing random factors is proposed to study the output tracking actual tracking control problem of a class of stochastic nonlinear systems and the original harsh growth conditions are removed It satisfies the more general polynomial function growth condition. 2. Problem Description is paper considers the output feedback practical tracking problem for a class of stochastic nonlinear systems with unknown control directions as follows: dxi gi(t, x)xi+1dt + fi(t, x, u)dω, dxn gn(t, x)u dt + fn(t, u, x)dω, y x1 − yr(t),. We use the static and dynamic gain control design method to study the problem and introduce the appropriate coordinate transformation to transform the design problem of the controller into a parameter construction problem
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