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针对不确定广义线性时变系统,采用矩阵不等式的分析方法,提出不确定广义线性时变系统鲁棒稳定和二次稳定的概念.建立该类系统的矩阵不等式,将该类系统的鲁棒控制问题转化为求解矩阵不等式问题,得到该类系统鲁棒稳定和二次稳定的充分必要条件,并给出一种状态反馈鲁棒镇定控制器的设计方法.最后,通过数值算例表明了所提出方法的可行性. 相似文献
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参数不确定广义大系统的分散鲁棒镇定控制 总被引:10,自引:0,他引:10
应用线性矩阵不等式(LMI)方法研究了参数不确定广义大系统的分散鲁棒镇定控制问题,系统中不确定项具有数值界,可不满足匹配条件.基干不确定项的表达形式,给出了存在分散鲁棒控制器的LMI条件.仿真例子表明,LMI方法求解简单、便干应用。 相似文献
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广义不确定系统鲁棒稳定性及鲁棒镇定的矩阵不等式方法 总被引:6,自引:1,他引:5
考虑广义不确定系统的鲁棒稳定性及鲁棒镇定问题.提出了广义不确定系统'广义二
次稳定'及'广义二次可镇定'的概念,利用矩阵不等式,分别得到了所考虑广义不确定系统广义
二次稳定及广义二次可镇定的充要条件,而且,使广义不确定系统鲁棒镇定的状态反馈控制律
的设计可通过求解一给定的矩阵不等式而得到. 相似文献
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讨论了线性定常广义系统的稳定性, 给出了这种系统H∞ 范数形式的稳定性判据, 在此基础上, 利用线性矩阵不等式 (LMI)方法讨论了含有不确定参数的线性广义控制系统的鲁棒镇定问题, 并相应地给出了鲁棒镇定控制器的设计. 相似文献
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具有干扰输入的不确定奇异系统的有限时间控制器设计 总被引:11,自引:0,他引:11
The concept of finite-time stability for linear singular system isinduced in this paper. Finite-time control problem is considered for linear singular systems with time-varying parametricuncertainties and exogenous disturbances. The disturbance satisfies a dynamical system with parametric uncertainties. Asufficient condition is presented for robust finite-ime stabilization via state feedback. The condition is translated to a feasibility problem involving restricted linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example is given to show the validity of the results. 相似文献
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For the finite-horizon linear-discrete quadratic stochastic control problem, the control is restricted to be a memoryless linear transformation of the measurement. The two-point boundary value problem that specifies the feedback gain matrices is derived, and an algorithm for solving it is given. An example is solved comparing the cost of the suboptimal control to the optimal control. 相似文献
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A solution is presented for the problem of diagonalization (row-by-row decoupling). The problem is solved using a constant precompensator and a dynamic output feedback compensator of a p ×m linear time-invariant system. The solvability condition is compact and concerns the dimension of a single subspace defined via the concepts of essential rows and static kernels associated with the transfer matrix. A characterization of the set of all solutions to the problem is also given. In solving this dynamic feedback problem, a complete solution to its state-feedback counterpart, namely, the restricted state-feedback problem of diagonalization, is also presented 相似文献
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J. J. Trujillo 《International journal of control》2018,91(1):57-69
A finite horizon linear quadratic (LQ) optimal control problem is studied for a class of discrete-time linear fractional systems (LFSs) affected by multiplicative, independent random perturbations. Based on the dynamic programming technique, two methods are proposed for solving this problem. The first one seems to be new and uses a linear, expanded-state model of the LFS. The LQ optimal control problem reduces to a similar one for stochastic linear systems and the solution is obtained by solving Riccati equations. The second method appeals to the principle of optimality and provides an algorithm for the computation of the optimal control and cost by using directly the fractional system. As expected, in both cases, the optimal control is a linear function in the state and can be computed by a computer program. A numerical example and comparative simulations of the optimal trajectory prove the effectiveness of the two methods. Some other simulations are obtained for different values of the fractional order. 相似文献
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The problem of L 2-gain analysis and control synthesis is studied for a class of uncertain discrete-time switched linear systems with time delay and saturating actuators by using the multiple Lyapunov functions method. With the state feedback controllers adopted beforehand, an analysis condition on disturbance tolerance is derived under which the operating state trajectory with zero initial condition will remain inside a bounded set in its proximity. Then with this condition at hand, the largest disturbance tolerance level is determined via the solution of a constrained optimisation problem. Then, a sufficient condition for the restricted L 2-gain over the set of tolerable disturbances is derived. The smallest upper bound on the restricted L 2-gain is also obtained by solving a constrained optimisation problem. Furthermore, when controller gain matrices are design variables, these optimisation problems are adjusted for solving the control design task. An illustrative numerical example is given to demonstrate the feasibility and effectiveness of the proposed method. 相似文献
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研究奇异摄动时滞系统次优控制的近似设计问题.基于奇异摄动的快慢分解理论,将系统的最优控制问题转化为无时滞快子问题和线性时滞慢子问题;利用Chebyshev多项式级数方法将时滞慢子问题的近似求解问题转化为线性代数方程组的求解问题,进而得到原系统的次优控制律,该控制律由Chebyshev多项式级数的基向量表示.仿真算例表明了该方法的有效性. 相似文献
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This paper addresses a multiprocessor generalization of the preemptive open-shop scheduling problem. The set of processors
is partitioned into two groups and the operations of the jobs may require either single processors in either group or simultaneously
all processors from the same group. We consider two variants depending on whether preemptions are allowed at any fractional
time points or only at integer time points. We reduce the former problem to solving a linear program in strongly polynomial
time, while a restricted version of the second problem is solved by rounding techniques. Applications to course scheduling
and hypergraph edge coloring are also discussed. 相似文献
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Neural Network(NN) is well-known as one of powerful computing tools to solve optimization problems. Due to the massive computing unit-neurons and parallel mechanism of neural network approach we can solve the large-scale problem efficiently and optimal solution can be gotten. In this paper, we intoroduce improvement of the two-phase approach for solving fuzzy multiobjectve linear programming problem with both fuzzy objectives and constraints and we propose a new neural network technique for solving fuzzy multiobjective linear programming problems. The procedure and efficiency of this approach are shown with numerical simulations. 相似文献
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介绍迷宫问题及其最优解,引入多因素制约的迷宫问题。重点讨论多因素制约迷宫问题最优解的含义及基于广度优先搜索的求解算法,并通过两个实例分析如何基于广度优先搜索算法求解这类迷宫问题的最优解,并给出算法的伪代码。最后,进一步讨论和总结这类迷宫问题最优解的求解算法。 相似文献
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求解单位等边三角形Packing问题的近似算法 总被引:7,自引:0,他引:7
多边形Packing问题不仅具有重要的理论意义,而且也有广阔的应用前景,由于该问题具有NP难度,且具有连续的性质,一般要事先对多边形的放置方位进行限制,例如不允许多边形旋转,然后再进行优化求得近似解,该文采用一种新的思路对多边形Packing问题的一个特例-单位等边三角形Packing问题进行了研究,提出了零自由度动作和零自由度放置策略的概念,并设计了一个近似求解算法-最小损伤法,复杂性分析和计算结果表明该算法是高效的,以此为基础,可能为多边形Packing问题找到类似的求解算法。 相似文献