共查询到20条相似文献,搜索用时 265 毫秒
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针对神经网络模型自身的结构特点,研究了当系统存在扰动时的鲁棒H∞控制问题。将神经网络和控制理论相结合,利用线性矩阵不等式方法和神经网络良好的逼近能力,对一类时滞广义系统设计了鲁棒H∞控制器,并给出了H∞反馈控制器存在的充分条件。使得在一定条件下,闭环系统渐近稳定且从扰动到控制输出的传递函数的H∞范数不超过某个确定的上界。所得结论可化为标准的线性矩阵不等式(LMI)求解,该方法具有一定的实际意义和可行性,算例也验证了其有效性。 相似文献
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一类带有时滞的不确定广义系统的切换渐近稳定性 总被引:7,自引:0,他引:7
研究了一类带有时滞的切换不确定广义系统的鲁棒渐近稳定问题. 利用Lyapunov稳定性定理和线性矩阵不等式(Linear matrix inequality, LMI)工具, 采用多Lyapunov函数技术, 在设定的切换律下, 得到切换不确定广义时滞系统鲁棒渐近稳定的时滞相关充分条件. 进一步, 建立了一个具有线性矩阵不等式约束的凸优化问题, 利用Matlab软件中的LMI工具箱求解, 得到保证切换广义系统鲁棒渐近稳定的最大可允许时滞上界. 最后示例表明了该方法的有效性. 相似文献
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不匹配不确定线性时滞系统的鲁棒自适应控制 总被引:5,自引:1,他引:4
对一类同时具有匹配不确定性及结构确定不匹配不确定性的不确定时滞系统进行鲁棒自适应控制。首先,采用李雅谱诺夫函数方法,结合基于线性矩阵不等式的鲁棒控制器设计方法和变结构控制方法,设计鲁棒控制器,保证闭环系统的二次渐近稳定。利用自适应参数估计方法,设计具有匹配不确定性范数界估计能力的鲁棒自适应控制器,保证闭环系统的一致终结有界。结合算例,进行控制器的设计和仿真研究,验证所提出的设计方法的有效性。 相似文献
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讨论同时具有输入及状态时滞且多个范数有界不确定的非线性时滞模糊系统的时滞相关鲁棒稳定及镇定问题。利用通用的Lyapunov—Krasovskii泛函方法,结合自由权矩阵思想和对不确定项的更精确描述,获得基于线性矩阵不等式的时滞相关稳定的充分条件并给出状态反馈控制器的设计。该条件较已有结论不仅形式简单,而且具有更小的保守性。利用Matlab软件中的LMI工具箱求解,得到保证系统鲁棒渐近稳定的最大可允许时滞上界。数值算例表明该方法是有效性的。 相似文献
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针对一类具有范数有界不确定性和2个继发时变时滞的线性时滞不确定系统,研究了其时滞依赖鲁棒稳定性问题。通过定义充分利用时变时滞上下界信息的新型Lyapunov—Krasovskii泛函,并结合时滞系统相关处理方法和线性矩阵不等式方法,得到了时滞线性不确定系统鲁棒渐近稳定所满足的条件。为了降低结论的保守性,对某些项进行了较紧致的估计。此外,并未引入自由权矩阵。最后并通过2个数值仿真证实了方法的有效性和优越性。 相似文献
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一类线性时滞系统的鲁棒稳定性分析 总被引:2,自引:0,他引:2
针对一类具有范数有界不确定性和2个继发时变时滞的线性时滞不确定系统,研究了其时滞依赖鲁棒稳定性问题.通过定义充分利用时变时滞上下界信息的新型Lyapunov-Krasovskii泛函,并结合时滞系统相关处理方法和线性矩阵不等式方法,得到了时滞线性不确定系统鲁棒渐近稳定所满足的条件.为了降低结论的保守性,对某些项进行了较紧致的估计.此外,并未引入自由权矩阵.最后并通过2个数值仿真证实了方法的有效性和优越性. 相似文献
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Dong Sang Yoo Myung Jin Chung 《Automatic Control, IEEE Transactions on》1992,37(6):860-865
In deterministic design of feedback controllers for uncertain dynamical systems, upper bounds on the norm of the uncertainties are an important clue to guarantee the stability of the closed-loop system. Sometimes, however these upper bounds may not be easily obtained because of the complexity of structure of the uncertainties. Simple adaptation laws for upper bounds on the norm of the uncertainties are proposed, and these adaptive upper bounds are used to design a variable-structure control system that guarantees the asymptotic stability of uncertain dynamical systems 相似文献
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This paper investigates the stability of network control systems, regarded as a class of large-scale hybrid systems, for ubiquitous computing environment. The problem of robust exponential stabilization for the hybrid systems is addressed, which are composed of impulsive subsystems with time-delay and parameter uncertainties. Using the Lyapunov–Krasovskii functional approach and linear matrix inequality method, an adaptive robust controller is designed to stabilize the uncertain continuous subsystems. Then the delay-dependent exponential stability conditions for the whole hybrid system are derived by analyzing the stability of the subsystems. An example is given to show the effectiveness of the proposed design method. 相似文献
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Passification-based adaptive control, also known as simple adaptive control, is studied with respect to its robustness to
time-varying uncertainties. Results are formulated in terms of LMIs and are therefore testable in polynomial time using semi-definite
programming solvers. The main result shows that the adaptive strategy allows, without measurement nor estimation of the uncertain
parameters to guarantee asymptotic stability for a wide rage of these parameters. To achieve this result, the stability property
is relaxed: convergence is proved to a small neighborhood of the origin, and attractive domain. It is also demonstrated that
this attractor can be made as small as required the only limitation being implementation constraints. 相似文献
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Robust adaptive fuzzy VSS control for a class of uncertain nonlinear systems using small gain design
In this paper, a novel robust adaptive fuzzy variable structure control (RAFVSC) scheme is proposed for a class of uncertain nonlinear systems. The uncertain nonlinear system and gain functions originating from modeling errors and external disturbances are all unstructured (or non-repeatable), state-dependent and completely unknown. The Takagi–Sugeno type fuzzy logic systems are used to approximate uncertain functions in the systems and the RAFVSC is designed by use of the input-to-state stability (ISS) approach and small gain theorem. In the algorithm, there are three advantages which are that the asymptotic stability of adaptive control in the presence of unstructured uncertainties can be guaranteed, the possible controller singularity problem in some of existing adaptive control schemes using feedback linearization techniques can be removed and the adaptive mechanism with minimal learning parameterizations can be achieved. The performance and effectiveness of the proposed methods are discussed and illustrated with two simulation examples. 相似文献
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I-KONG FONG SHUH-CHUAN TSAY TE-SON KUO 《International journal of systems science》2013,44(11):1937-1952
For a class of uncertain systems with linear nominal dynamics and nonlinear uncertainties, it has been shown (Katayama and Sasaki 1987) that linear quadratic (LQ) state feedback regulators can be used to provide robust asymptotic stability. In this paper, we study the combined observer-controller design problem, based on the linear state feedback regulator proposed by Katayama and Sasaki (1987), so that only output feedback is needed. Both full-order and reduced-order observers are considered. For the full-order observer, we propose an algorithm to synthesize the robust observer gain matrix. It is shown that with the observer it is still possible to achieve robust asymptotic stability. For the reduced-order observer, some conditions are derived to guarantee the robust asymptotic stabilizability of the uncertain systems. The trade-off between the magnitudes of controller and observer gains is clear in our approach. An example is used to illustrate the design process of the robust controller with full-order as well as reduced-order observers. 相似文献
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A feedback linearization‐based adaptive control scheme is developed for multivariable nonlinear systems with redundant actuators subject to uncertain failures. Such an adaptive controller contains a direct adaptive actuator failure compensator to compensate the uncertain actuator failure, a nonlinear feedback to linearize the nonlinear dynamics, and a linear feedback to stabilize the linearized system. The key new design feature is the estimation of both the failure patterns and the failure values, for direct adaptive actuator failure compensation, newly developed for multivariable feedback linearizable nonlinear systems. With direct control signal adaptation, the adaptive failure compensation design ensures closed‐loop stability and asymptotic output tracking in the presence of actuator failure uncertainties. Simulation results from an application to attitude control of a near‐space vehicle dynamic model are presented to verify the desired system performance with adaptive actuator failure compensation. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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This paper investigates the problem of robust fault‐tolerant control for a class of uncertain switched nonlinear systems in lower triangular form. A system of this class involves parameter uncertainties and unknown nonlinear disturbances. A sufficient condition for the problem to be solvable under arbitrary switching is given in terms of linear matrix inequalities (LMIs). State feedback controllers of subsystems are designed by using the solutions to the matrix inequalities to guarantee global asymptotic stability of the closed‐loop systems in presence of actuator failures and under arbitrary switching. A practical system of hybrid haptic display is analyzed to demonstrate the proposed design method. 相似文献
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Mingzhe Hou Zongquan Deng Guangren Duan 《International journal of systems science》2017,48(10):2137-2145
An adaptive control approach is proposed to solve the globally asymptotic state stabilisation problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback nonlinear system under consideration is with nonlinearly parameterised uncertainties and possibly unknown control coefficients. Based on the parameter separation technique, a novel backstepping controller is designed by adopting the adaptive high gain idea. The proposed control approach could avoid the drawbacks of the approximation-based approaches since no estimators are needed to estimate the virtual and the actual controllers. In addition, it could guarantee globally asymptotic state stabilisation even though there exist nonlinearly parameterised uncertainties in the considered system while comparing to the existing approximation-free approaches. A numerical and a realistic examples are employed to demonstrate the effectiveness of the proposed control method. 相似文献