互联系统的分散自适应控制
发布时间：2018-07-24 20:45
【摘要】：大系统是一类复杂而又重要的非线性系统,是目前控制理论研究的一个前沿方向.由于整个大系统的控制器设计比较复杂以及各子系统之间信号交换的物理限制,通常要求对每个子系统设计控制器.它仅用到局部可测量的信号,使得整个系统跟踪到给定的参考模型.最近控制器参考信号信息共享的严格分散自适应控制系统受到广泛关注.然而,目前的已有结果,作者没有很好地解决严格分散系统自适应控制问题.另一方面,时滞互联大系统的模型跟踪控制问题没有涉及.该论文在以前文献的基础上,针对严格分散自适应控制问题做了一些理论研究,包括以下两个部分:1)具有三种形式互联项的严格分散大系统的自适应模型跟踪控制问题.研究了三类互联型的大系统,当互联项通过状态实现时,我们同时考虑了线性与非线性互联的情形.当互联项通过输出实现时,我们考虑传递函数相对阶是1的情形.最后,仿真算例验证了结果的正确性和可行性.2)互联项带有时滞的大系统分散自适应模型跟踪问题.研究了具有两种类型的时滞互联函数的互联大系统,并对这两种情况分别设计控制器与对应的自适应律.得到这样两种结论:对时滞导数小于1的互联系统,相应的跟踪误差是一致最终有界的;对时滞导数为任意数的互联系统,跟踪误差收敛到一个任意小的球中.
[Abstract]:Large-scale systems are a class of complex and important nonlinear systems, which is a forward direction of control theory research. Because of the complexity of the controller design and the physical limitation of the signal exchange between the subsystems, it is usually required to design the controller for each subsystem. It uses only locally measurable signals to track the system to a given reference model. Recently, the strict decentralized adaptive control system with controller reference signal information sharing has received wide attention. However, the author has not solved the problem of strict decentralized adaptive control. On the other hand, model tracking control for interconnected large scale systems with time delay is not involved. Based on the previous literatures, this paper makes some theoretical studies on the strictly decentralized adaptive control problem, including the following two parts: 1) Adaptive model tracking control problem for strictly decentralized large-scale systems with three forms of interconnected terms. In this paper, we study three kinds of interconnected large-scale systems. When the interconnected terms are realized through the state, we consider the linear and nonlinear interconnections at the same time. When the interconnected term is implemented by output, we consider the case where the relative order of the transfer function is 1. Finally, a simulation example is given to verify the correctness and feasibility of the results. 2) the decentralized adaptive model tracking problem for large scale systems with time delay is proved. In this paper, the interconnected large-scale systems with two types of time-delay interconnected functions are studied, and the controller and the corresponding adaptive law are designed for the two cases respectively. Two conclusions are obtained: for interconnected systems with time-delay derivatives less than 1, the corresponding tracking errors are uniformly and ultimately bounded, and for interconnected systems with time-delay derivatives of any number, the tracking errors converge to an arbitrary small sphere.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：N941.4;O231
本文编号：2142603
[Abstract]:Large-scale systems are a class of complex and important nonlinear systems, which is a forward direction of control theory research. Because of the complexity of the controller design and the physical limitation of the signal exchange between the subsystems, it is usually required to design the controller for each subsystem. It uses only locally measurable signals to track the system to a given reference model. Recently, the strict decentralized adaptive control system with controller reference signal information sharing has received wide attention. However, the author has not solved the problem of strict decentralized adaptive control. On the other hand, model tracking control for interconnected large scale systems with time delay is not involved. Based on the previous literatures, this paper makes some theoretical studies on the strictly decentralized adaptive control problem, including the following two parts: 1) Adaptive model tracking control problem for strictly decentralized large-scale systems with three forms of interconnected terms. In this paper, we study three kinds of interconnected large-scale systems. When the interconnected terms are realized through the state, we consider the linear and nonlinear interconnections at the same time. When the interconnected term is implemented by output, we consider the case where the relative order of the transfer function is 1. Finally, a simulation example is given to verify the correctness and feasibility of the results. 2) the decentralized adaptive model tracking problem for large scale systems with time delay is proved. In this paper, the interconnected large-scale systems with two types of time-delay interconnected functions are studied, and the controller and the corresponding adaptive law are designed for the two cases respectively. Two conclusions are obtained: for interconnected systems with time-delay derivatives less than 1, the corresponding tracking errors are uniformly and ultimately bounded, and for interconnected systems with time-delay derivatives of any number, the tracking errors converge to an arbitrary small sphere.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：N941.4;O231
【参考文献】
相关期刊论文 前2条
1 ;Decentralized Robust Control for Large Scale Interconnected Uncertain Systems with Time delay[J];Journal of Central South University of Technology(English Edition);2000年01期
2 ;Decentralized adaptive fuzzy control of time-delayed interconnected systems with unknown backlash-like hysteresis[J];Journal of Systems Engineering and Electronics;2008年06期
，本文编号：2142603
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