切换系统的模型预测控制研究
发布时间：2018-11-10 09:06
【摘要】：切换系统作为一类特殊的混合动态系统,被广泛应用于生物工程、航空航天工程和汽车工业等领域.在对切换系统控制问题进行研究时,大都假设模型切换和控制器切换的时刻是一致的,即同步切换.然而在实际应用中识别运行的子系统和请求相一致的控制器可能需要一些时间,控制器切换通常也要滞后相应子系统切换,从而导致异步切换.针对如切换系统这类受限复杂系统,如何在获得控制器设计的系统性方法的同时实现性能指标最优,控制算法可行和闭环系统稳定是现代控制理论的一个极具挑战性的问题.模型预测控制(Model predictive control,MPC)能够有效处理系统约束和参数不确定性等因素,成为应用较为广泛的现代控制方法,也是解决上述问题有效的控制策略.本文研究了若干切换系统的模型预测控制问题,主要内容概述如下:1.针对一类干扰范数有界的连续时间切换广义系统,研究了带有混合H_2/H_∞性能指标的预测控制问题.在设计切换规则下,采用多Lyapunov泛函方法得到基于线性矩阵不等式表示的H_2/H_∞预测控制控制器存在的充分条件.保证采用H_2范数度量的闭环系统性能有较好水平同时具有H_∞干扰抑制水平λ.2.针对一类离散时间下的切换系统,提出一种基于异步切换的预测控制方法.采用平均驻留时间(ADT)方法,在允许切入的子系统Lyapunov-like函数递增的情况下,将扩展的稳定性结果运用到预测控制中.选取采样时间等于异步切换滞后时间以及最大Lyapunov-like函数递增时间,在给定最大异步切换滞后时间下得到依据最小ADT的受限切换律,并通过求解quasi-min-max优化问题得到控制器保证闭环系统是全局一致指数稳定(GUES)的.
[Abstract]:As a special hybrid dynamic system, switched systems are widely used in the fields of bioengineering, aerospace engineering and automobile industry. When studying the control problem of switched systems, it is assumed that the time of model switching and controller switching is the same, that is, synchronous handoff. However, in practical applications, it may take some time to identify the running subsystem and the controller that is consistent with the request, and the controller switch usually lags behind the corresponding subsystem switch, which leads to asynchronous handoff. For constrained complex systems such as switched systems, it is a challenging problem in modern control theory that how to obtain the systematic method of controller design and achieve the optimal performance index at the same time, the feasibility of control algorithm and the stability of closed-loop system. Model Predictive Control (Model predictive control,MPC) can effectively deal with system constraints and parameter uncertainties. It has become a widely used modern control method and an effective control strategy to solve the above problems. In this paper, some model predictive control problems for switched systems are studied. The main contents are summarized as follows: 1. For a class of continuous-time switched singular systems with bounded disturbance norm, the predictive control problem with mixed H _ 2 / H _ 鈭，
本文编号：2322001
[Abstract]:As a special hybrid dynamic system, switched systems are widely used in the fields of bioengineering, aerospace engineering and automobile industry. When studying the control problem of switched systems, it is assumed that the time of model switching and controller switching is the same, that is, synchronous handoff. However, in practical applications, it may take some time to identify the running subsystem and the controller that is consistent with the request, and the controller switch usually lags behind the corresponding subsystem switch, which leads to asynchronous handoff. For constrained complex systems such as switched systems, it is a challenging problem in modern control theory that how to obtain the systematic method of controller design and achieve the optimal performance index at the same time, the feasibility of control algorithm and the stability of closed-loop system. Model Predictive Control (Model predictive control,MPC) can effectively deal with system constraints and parameter uncertainties. It has become a widely used modern control method and an effective control strategy to solve the above problems. In this paper, some model predictive control problems for switched systems are studied. The main contents are summarized as follows: 1. For a class of continuous-time switched singular systems with bounded disturbance norm, the predictive control problem with mixed H _ 2 / H _ 鈭，
本文编号：2322001
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