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研究了一类离散不确定系统区域稳定和方差约束的鲁棒H∞控制器的设计方法。通过设计状态反馈控制器,使闭环系统的极点被配置在给定的圆盘中,闭环传递函数的H∞范数小于所给定的一个正标量;同时,闭环系统每个状态的稳态方差不高于各自给定的上界。借助于广义的Riccati矩阵不等式、Lyapunov方程等,给出了控制器存在的充要条件,并给出了所期望控制器的解析式。仿真实例验证了该方法的可行性。 相似文献
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具有区域极点和方差约束的不确定连续系统鲁棒控制 总被引:8,自引:1,他引:7
对一类具有不确定参数的线性连续系统,研究使得闭环系统的稳态状态方差小于某
个给定的上界,同时闭环极点位于一给定圆盘中的状态反馈鲁棒方差控制器设计问题.导出
了控制器存在的条件,并证明了该条件等价于一个线性矩阵不等式系统的可解性问题,进而
用这组线性矩阵不等式系统的可行解给出了一组所求控制器的一个参数化表示.据此,给出
了具有最小能量的鲁棒方差控制器设计方法. 相似文献
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针对双输入双输出耦合活套控制系统,提出了一种新的多变量控制方法。该方法将活套控制问题视为双输入双输出随动系统渐近跟踪问题,通过建立活套控制系统状态空间模型,采用多变量极点配置方法配置活套控制系统的期望闭环极点,以实现期望性能指标。该方法计算简单,物理概念清晰,克服了常规解耦控制器设计复杂,计算繁琐的弱点。仿真结果表明,系统不仅具有较好的动态性能和稳态性能,而且有很强的鲁棒稳定性。 相似文献
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本文描述了一种抗参数扰动的最优控制器设计方法。它从解 Sylvester 矩阵方程入手,求取状态反馈增益 F,来配置期望的闭环极点。另一方面,又充分利用了多输入状态反馈配置闭环极点以外的自由度,使控制系统设计达到多目标最优。实例及仿真结果表明:由最优控制器构成的闭环系统,既能获得满意的瞬态响应,又具有较强的抗参数变化的能力。 相似文献
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考虑线性连续随机系统在稳态方差及H∝指标约束下的综合设计问题,即寻找状态反馈控制器,使闭环系统每个状态分量的稳态方差满足各自预先给定的约束,同时从噪声输入到系统输出的传递函数的H∝范数也满足预先给定的约束。本文给出了期望控制器的存在条件及解析表达式,并用算例说明文中设计方法的直接性与有效性。 相似文献
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圆形区域极点及方差约束下线性离散系统的控制设计 总被引:2,自引:1,他引:2
本文考虑线性离散随机系统在圆形区域极点及方差约束睛的控制器设计问题,即设计状态反馈控制器,使闭环系统同时满足预先给定的圆形区域极点约束以及预先给定的各状态分量的方差约束。文中利用代数黎卡提方程方法解决了上述问题。 相似文献
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Pole assignment in a specified disk 总被引:1,自引:0,他引:1
The problem of assigning all poles of a closed-loop system in a specified disk by state feedback is considered for both continuous and discrete systems. A state feedback control law is determined by using a discrete Riccati equation. This kind of pole assignment problem is namedD -pole assignment, and its relation to the optimal control problem and its robustness properties are discussed. The gain and phase margins for all closed-loop poles to stay inside the specified diskD are determined for the proposed control. 相似文献
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针对T-S模糊模型描述的一类不确定非线性离散系统,研究使闭环系统的稳态方差小于某个给定上界,同时闭环极点位于给定圆盘中的状态反馈鲁棒协方差控制律设计问题,并导出以一组线性矩阵不等式表示的控制律的存在条件。 相似文献
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本文讨论了具有二次型性能指标的线性定常系统的降低性能指标灵敏度、降低轨迹灵敏
度和配置闭环极点的综合性最优控制问题,提出了新的综合性能指标,从而得到了易于计算
的结果;解决了多参数变化时降低轨迹灵敏度的综合性最优控制问题;推导了闭环特征值对
Q阵的梯度阵公式,提出了一种配置互异的全部闭环极点Q阵算法,并给出了算例. 相似文献
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Li Yu 《International journal of systems science》2013,44(3):367-371
This paper concerns the design problem of state feedback controllers which guarantee the closed-loop poles within a specified disc and steady-state variances to be less than a set of given upper bounds for linear systems with norm-bounded parameter uncertainties. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. A parametrized representation of the desired controllers is presented in terms of the feasible solutions to a certain linear matrix inequality system. Based on this, a solution to the minimum-effect guaranteed-performance design problem is presented in the sense that the required control effort is minimized subject to performance constraints. 相似文献
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The infinite-time linear-quadratic optimal-control problem for systems with delays is discussed from the viewpoint of closed-loop properties: the Kalman equation and the circle condition for the optimal closed-loop control law are derived, and the optimal closed-loop poles are characterized via the hamiltonian matrix. 相似文献
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DOUGLAS J. BENDER 《International journal of control》2013,86(6):1577-1588
In this paper some criteria are presented for dividing the closed-loop system poles of a feedback system between the estimator and the controller when using an estimator-based compensator. The criteria are based on frequency response considerations, but are related to some well-known facts in the time domain. It is well known, for example, that the closed-loop system poles are the poles of the estimator in union with the controller poles. It is also well known that the time response of the closed-loop plant states due to a command depends only on the closed-loop control poles, and the response of the estimate error depends only on the closed-loop estimator poles. In the frequency domain, the following can be said: the open-loop compensator transfer function from the sensor measurement to the control and the closed-loop transfer function from the sensor measurement to the system output are both independent of how the closed-loop poles are distributed between the controller and the estimator, but the closed-loop transfer function from the command to the control or system output is not. Placing the slower closed-loop poles in the controller causes the control gains to be smaller, which in turn causes the effect of the command signal to be attenuated, both at the control and at the closed-loop system output. Making use of these facts allows the closed-loop poles to be divided between the controller and the estimator on a more intelligent basis than ‘the estimator poles should be three times faster than the controller poles’. In an example, these concepts are applied to the design of a platform despin control system for a dual-spin satellite. 相似文献
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一种新的最优极点配置方法 总被引:8,自引:1,他引:7
本文从LQ逆问题着眼提出了一种新的最优极点配置方法,推导了加权矩阵Q和R与开环特征多项式、最优闭环特征多项式之间的关系。只要给定一组期望的闭环极点,即可确定与之对应的加权矩阵Q和R,从而得到一个具有指定极点的最优控制系统。 相似文献
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具有闭环极点和方差约束的不确定离散系统鲁棒控制 总被引:6,自引:1,他引:5
对一类具有范数有界不确定性的离散时间系统,研究了使得闭环系统的所有极点位于一给定圆盘,且稳定状态方差不超过给定上界的状态反馈鲁棒方差控制律设计问题,基于线性矩阵不等式的处理方法,导出了鲁棒方差控制律的存在条件,并用一组线性矩阵不等式的珂行解给出了鲁棒方差控制律的一个参数化表示,进而,通过建立和求解一个凸优化问题,给出了具有最泸控制能量的鲁棒方差控制律设计方法。 相似文献
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TOSHIHIRO KOBAYASHI 《International journal of systems science》2013,44(9):1779-1785
The pole assignment problem of a parabolic distributed parameter system with boundary or pointwise inputs is studied. The problem is solved under a weak restriction on the separation of the open-loop poles and the closed-loop ones. A characteristic equation whose roots are the poles of the closed-loop system is first given and it is shown that the infinite number of open-loop poles can be uniformly moved by means of a suitable linear feedback. 相似文献