共查询到20条相似文献,搜索用时 32 毫秒
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Subashish Datta 《International journal of control》2013,86(11):2239-2251
This article proposes a convex algorithm for minimising an upper bound of the state feedback gain matrix norm with regional pole placement for linear time-invariant multi-input systems. The inherent non-convexity in this optimisation is resolved by a combination of two separate approaches: (1) an inner convex approximation of the polynomial matrix stability region due to Henrion and (2) a novel convex parameterisation of column reduced matrix fraction system representations. Using a sequence of approximations enabled by the above two methods, it is shown that the constraints on closed-loop poles (both pre-specified exact locations and regional placement) define linear matrix inequalities. Finally, the effectiveness of the proposed algorithm is compared with similar pole placement algorithms through numerical examples. 相似文献
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针对线性定常系统,本文提出考虑执行器故障的圆盘极点可靠配置问题.在更一般、更实际的执行器故障模型的基础上,给出了将极点配置到指定圆盘内可靠控制存在的充分条件.通过求解LMI(线性矩阵不等式)完成状态反馈可靠控制器的设计.仿真不仅验证了本文提出设计方法的可行性,而且也说明了可靠配置的必要性。 相似文献
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Xiaofu Ji Taihui Liu Yukun Sun Hongye Su 《International journal of systems science》2013,44(3):397-406
The problem of global asymptotic stability analysis and controller synthesis for a class of discrete linear time-delay systems with state saturation nonlinearities is investigated. With the introduction of a free matrix whose infinity norm is less than or equal to 1, the state of discrete linear time-delay systems with state saturation is bounded by a convex hull, which makes it feasible to apply a suitable Lyapunov functional to obtain a sufficient condition for global asymptotic stability. It is also shown that this condition can be extended to controller synthesis and discrete time-delay systems with partial state saturation. The obtained results are expressed in terms of matrix inequalities that can be solved by the presented iterative linear matrix inequality approach. The effectiveness of these results is demonstrated by some numerical examples. 相似文献
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多输入多输出线性控制系统的简单极点配置算法 总被引:3,自引:0,他引:3
本文给出了对多输入多输出系统进行极点配置的算法。按照本文的结论,任何多输入多输出线性控制系统都可以象单输入单输出线性系统那样进行闭环系统及状态观测器的极点配置。 相似文献
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Alireza Karimi Author VitaeAuthor Vitae 《Automatica》2007,43(8):1395-1402
Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional approximation of this set is obtained using the orthonormal basis functions and represented by a set of LMIs thanks to the KYP lemma. Then, an LMI based convex optimization problem for robust pole placement with sensitivity function shaping in two- and infinity-norm is proposed. The simulation results show the effectiveness of the proposed method. 相似文献
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针对一类线性系统,研究其闭环系统极点具有椭圆盘约束的情况下滤波器设计问题。在极点约束的前提下,控制目标要求闭环系统渐近稳定,并且干扰抑制性能指标小于给定的上界。首先利用有界实引理给出椭圆盘极点约束前提下滤波器的存在条件;其次,利用线性矩阵不等式技术,将滤波器的存在性问题转化成一组线性矩阵不等式(LMI)的可行性问题,根据LMI的可行解,给出滤波器的设计方法,由该方法得到的滤波器满足给定的性能要求;最后,数值算例说明该方法的有效性和可行性。 相似文献
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This article investigates the robust H ∞ control problem for a class of spacecraft rendezvous systems with parameter uncertainties and subject to input constraint, pole constraint and external and controller perturbations. Based on the Lyapunov theory, a sufficient condition for the existence of the non-fragile robust state-feedback controller is given in terms of linear matrix inequalities (LMIs). Then, proper non-fragile controller design can be cast as a convex optimisation problem subject to LMI constraints. With the obtained controller, the spacecraft rendezvous mission can be accomplished. An illustrative example is provided to show the effectiveness of the proposed control design method. 相似文献
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针对当输入噪声为有限能量信号时的渐近稳定的线性滤波器的设计问题,基于Lyapunov稳定性理论,结合线性矩阵不等式技术,提出了一类关联时滞组合系统的H_∞滤波器的设计方案,并利用有界实引理给出了滤波器存在的一个充分条件。为了使得滤波器具有良好的稳态性能,考虑了LMI的优化问题。并将滤波器的设计问题转化为具有线性矩阵不等式约束的凸优化求解问题。通过求解一组LMI,可以得到最优滤波器。 相似文献
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针对一类含时变通讯时延的多智能体系统,基于时滞依赖法提出了其在有向网络拓扑下的一类包容控制器设计的方法,该设计能有效地驱使多智能体系统中所有跟随者的状态渐近一致地收敛到领导者运动过程中形成的几何凸包.结合李亚普诺夫稳定性理论和线性矩阵不等式(LMI)方法,推导了多智能体系统包容控制率存在的充分条件,并将包容控制器的设计最终转化成求解线性矩阵不等式可行解的问题.结果表明,该方法对多智能体系统中的时变通讯时延具有良好的补偿效果.最后通过仿真算例验证了此方法的有效性和可行性. 相似文献
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提出当可解耦性矩阵D0奇异时,采用串联积分补偿器的状态反馈控制策略实现闭环系统解耦控制的新算法,并论证了算法存在的充要条件,给出了算例,新算法不仅解决了可解耦性矩阵D0奇异时解耦问题,而且在实现闭环系统解耦控制的同时,增加了可配置极点数目,减少了乘余极点数目。 相似文献
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基于最大基线倾角智能逼近的凸壳新算法 总被引:7,自引:7,他引:0
本文评述了有代表性的折半分治递归凸壳算法,并利用同构化凸壳基本定理提出效率更高的最大倾角智能逼近凸壳新算法。本新算法的同构化特点是:1)找出给定二维点集最外点(指最左、最右、最高、最低点),即其X轴、Y轴坐标值最大、最小的四个初始极点;2)用该初始极点,把原二维点集分布域划分为四个子分布域;3)分别在这四个子分布域中,各基于自身最新所得极点依次动态构造其基线倾角最大的当前极点,并用这些极点作凸边,来逐步智能逼近和最终生成该给定二维点集的凸壳。 相似文献
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In this study, we propose a novel backward shift algorithm for pole estimation of linear time-invariant (LTI) systems. By making adjustments, we address the question: How should the frequencies of input signals be chosen? We select the frequencies based on algebraic accuracy in the numerical integral and use the Gaussian–Legendre formula in this process. After poles are located, the discrete Fourier transform (DFT) and the new backward shift algorithm (new BSA) along with the least squares (LS) method are used to identify the systems. Two examples show that the proposed method for pole estimation performs better and the corresponding identification algorithm is practical. 相似文献
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针对有输入约束的不确定时延网络控制系统,提出鲁棒模型预测控制方法;其中,将不确定时延建模为范数有界的输入矩阵的不确定性.给出了鲁棒性能指标的上界和系统渐近稳定的充分条件,通过在线求解LMI凸优化问题得到状态反馈控制律.仿真例子验证了该方法的有效性. 相似文献