Nonlinear Analysis-Hybrid Systems最新文献

英文中文

H2 dynamic output feedback control of phase-type semi-Markov jump linear systems

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-12-04 DOI: 10.1016/j.nahs.2024.101557

André M. de Oliveira , Oswaldo L.V. Costa

This paper deals with the design of

H_{2}

dynamic output feedback controllers for phase-type distributed semi-Markov jump linear systems. It is assumed that the state-space of the semi-Markov jump process can be written as the union of disjoint sets, called clusters, and that the only information available to the controller regarding the jumping process is which cluster it belongs to. We provide two sets of design conditions for the

H_{2}

control problem, written in terms of bilinear matrix inequalities, which are associated with the observability and controllability Grammians (referred to as the “primal” and “dual” approaches, respectively). An iterative separation procedure, formulated as a sequence of linear matrix inequalities optimization problems, is proposed to reduce an upper bound of the

H_{2}

norm of the system for both the primal and dual design conditions. We show that our conditions are not conservative in the sense that, for the Markov mode-dependent case, they also become necessary. Finally, we study the robust case, considering that the system matrices and transition rate matrix have polytopic uncertainties, and the observer-based control case, for which the conditions can be simplified and written directly as linear matrix inequalities. The paper concludes with an illustrative example in the context of systems subject to actuator and sensor faults.

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引用次数: 0

Disturbance decoupling controller design of switched Boolean control networks in recursion

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-12-03 DOI: 10.1016/j.nahs.2024.101558

Xiangshan Kong , Haitao Li

This paper studies the disturbance decoupling problem (DDP) of switched Boolean control networks (SBCNs) by the methodology of recursion. All the state nodes of the original SBCNs are split into two parts based on whether or not the state node influences the outputs. By driving the part of state nodes which influence the outputs to the largest control invariant set, the concept of DDP in recursion is proposed. Using the algebraic state space representation (ASSR) method, both mode-independent and mode-dependent state feedback controllers are constructed to solve the DDP in recursion of SBCNs. Furthermore, based on the obtained mode-independent state feedback DDP controllers, the mode-independent output feedback controllers are designed for the DDP in recursion of SBCNs.

引用次数: 0

Secure control for uncertain nonlinear cyber–physical systems: A prescribed-time scheme based on temporal scaling 不确定非线性网络物理系统的安全控制：基于时间缩放的规定时间方案

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-22 DOI: 10.1016/j.nahs.2024.101556

Zhiyu Duan, Airong Wei, Xianfu Zhang, Bo Sun

In this paper, the prescribed-time secure control is explored for uncertain nonlinear cyber–physical systems through temporal scaling transformation and gain control technique, where the nonlinearity is more generic than common linear growth conditions due to the presence of large uncertainties and low-order states. Given that security risks exist in open networks, the impact of deception attacks is considered, whereas, this prevents the gain control technique from being applied directly to control design. To lift the restriction, a novel auxiliary system is firstly constructed to cleverly turn the secure control to the boundedness control of the auxiliary system. Next, a crucial bridge, temporal scaling transformation, is employed to transform the control issue in the finite time into infinite time, which opens up more possibilities for solving studied issues. Then, by the gain control technique, a Zeno-free secure control strategy with dynamically adjustable triggering mechanism is devised, which successfully ensures the convergence of system states within the prescribed time meanwhile counteracting deception attacks. Further, an improved nonlinearity, i.e. containing both low-order and high-order states, is discussed. Particularly, the proposed control strategies not only avoid real-time control updates, but also the gains therein handle system nonlinearities efficiently. Eventually, the validity of major results is verified via simulation examples.

本文通过时间比例变换和增益控制技术，探讨了不确定非线性网络物理系统的规定时间安全控制，由于存在较大的不确定性和低阶状态，非线性比常见的线性增长条件更为普遍。鉴于开放网络存在安全风险，因此考虑了欺骗攻击的影响，但这使得增益控制技术无法直接应用于控制设计。为了解除这一限制，我们首先构建了一个新颖的辅助系统，巧妙地将安全控制转化为辅助系统的有界控制。其次，利用时标变换这一关键桥梁，将有限时间内的控制问题转化为无限时间内的控制问题，为解决所研究的问题提供了更多可能性。然后，通过增益控制技术，设计了一种具有动态可调触发机制的无 Zeno 安全控制策略，成功地确保了系统状态在规定时间内收敛，同时抵御了欺骗攻击。此外，还讨论了改进的非线性问题，即同时包含低阶和高阶状态。特别是，所提出的控制策略不仅避免了实时控制更新，而且其中的增益还能有效地处理系统非线性问题。最后，通过仿真实例验证了主要结果的有效性。

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引用次数: 0

Adaptive hybrid global attitude tracking controller 自适应混合全局姿态跟踪控制器

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-15 DOI: 10.1016/j.nahs.2024.101555

João Pedro Silvestre , Pedro Casau , Paulo Oliveira

In this paper, a quaternion-based attitude tracking controller is presented, which is robust to measurement noise and adaptable to modeling errors and external disturbances. By constructing the controller using the theory of hybrid systems and employing the backstepping technique an adaptive controller that globally asymptotically stabilizes the null tracking error set for the closed-loop system is obtained. Furthermore, two estimators are explicitly derived to account for slowly time-varying or constant disturbances and moment of inertia errors. All the stability and convergence properties are carefully proven using Lyapunov stability theory for hybrid systems. Simulation results are shown to assess the resulting closed-loop system performance.

本文提出了一种基于四元数的姿态跟踪控制器，它对测量噪声具有鲁棒性，并能适应建模误差和外部干扰。通过使用混合系统理论构建控制器，并采用反步进技术，得到了一个自适应控制器，该控制器可在全局上渐近稳定闭环系统的空跟踪误差集。此外，还明确推导出两个估计器，以考虑缓慢时变或恒定的干扰和惯性矩误差。利用混合系统的 Lyapunov 稳定性理论，对所有稳定性和收敛性进行了仔细证明。仿真结果显示了对所产生的闭环系统性能的评估。

引用次数: 0

Efficient strategy synthesis for switched stochastic systems with distributional uncertainty 具有分布不确定性的开关随机系统的高效策略合成

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-14 DOI: 10.1016/j.nahs.2024.101554

Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo Jr.

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of distributions that are

ɛ -

close, in the Wasserstein distance sense, to a nominal one. We propose algorithms for the efficient synthesis of distributionally robust control strategies that maximize the satisfaction probability of reach-avoid specifications with either a given or an arbitrary (not specified) time horizon, i.e., unbounded-time reachability. The framework consists of two main steps: finite abstraction and control synthesis. First, we construct a finite abstraction of the switched stochastic system as a robust Markov decision process (robust MDP) that encompasses both the stochasticity of the system and the uncertainty in the noise distribution. Then, we synthesize a strategy that is robust to the distributional uncertainty on the resulting robust MDP. We employ techniques from optimal transport and stochastic programming to reduce the strategy synthesis problem to a set of linear programs, and propose a tailored and efficient algorithm to solve them. The resulting strategies are correctly refined into switching strategies for the original stochastic system. We illustrate the efficacy of our framework on various case studies comprising both linear and non-linear switched stochastic systems.

我们为具有不确定分布的离散时间切换随机系统的控制引入了一个框架。特别是，我们考虑了具有加性噪声的随机动力学，其分布位于一个模糊集合中，从瓦瑟斯坦距离意义上讲，该集合中的分布与标称分布ɛ接近。我们提出了高效合成分布稳健控制策略的算法，这些策略能在给定或任意（未指定）时间跨度（即无时间限制可达性）内最大化可达-避免规格的满足概率。该框架包括两个主要步骤：有限抽象和控制合成。首先，我们将开关随机系统有限抽象为鲁棒马尔可夫决策过程（鲁棒 MDP），其中包含系统的随机性和噪声分布的不确定性。然后，我们综合出一种策略，该策略对由此产生的鲁棒马尔可夫决策过程的分布不确定性具有鲁棒性。我们采用最优传输和随机编程的技术，将策略综合问题简化为一组线性程序，并提出了一种量身定制的高效算法来解决它们。由此产生的策略被正确地提炼为原始随机系统的切换策略。我们通过线性和非线性切换随机系统的各种案例研究来说明我们的框架的有效性。

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引用次数: 0

Sustainable solution for hybrid differential game with regime shifts and random duration 具有制度转换和随机持续时间的混合微分博弈的可持续解决方案

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-12 DOI: 10.1016/j.nahs.2024.101553

Yilun Wu, Anna Tur, Peichen Ye

Switching phenomena are ubiquitous in real-world applications. An

n

-player hybrid pollution-control problem is considered with switching behavior and uncertain game duration. The payoff functional with a random duration is converted to a payoff functional in the infinite horizon, which is discounted by a heterogeneous discounting function. By applying Pontryagin’s maximum principle and analyzing the structure of the adjoint variable, the sustainable equilibria in cooperative and noncooperative games are uniquely determined. The convergence of the corresponding state variable in cooperative and noncooperative games is proved. Furthermore, a unique state trajectory represented by a hybrid limit cycle is found to compute the players’ payoffs in cooperative and noncooperative scenarios. Finally, a reasonable, cooperative solution that employs the Shapley value as a single-point solution is proposed. All results are derived analytically and demonstrated with a numerical example.

切换现象在实际应用中无处不在。本文考虑了一个 n 人混合污染控制问题，该问题具有切换行为和不确定的博弈持续时间。随机持续时间的报酬函数被转换为无限视界的报酬函数，并通过异质贴现函数进行贴现。通过应用庞特里亚金最大原则和分析邻接变量的结构，唯一确定了合作博弈和非合作博弈中的可持续均衡。证明了合作博弈和非合作博弈中相应状态变量的收敛性。此外，还找到了一个由混合极限循环代表的唯一状态轨迹，用于计算合作和非合作情况下博弈者的报酬。最后，还提出了一种合理的合作解，它采用夏普利值作为单点解。所有结果都是通过分析得出的，并通过一个数值示例进行了演示。

引用次数: 0

Asymptotic synchronization in coupled Boolean and probabilistic Boolean networks with delays 有延迟的耦合布尔和概率布尔网络中的渐近同步性

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-09 DOI: 10.1016/j.nahs.2024.101552

Yong Wang , Bowen Li , Qinyao Pan , Jie Zhong , Ning Li

This paper addresses the delay output synchronization in a coupled system of a Boolean network and a probabilistic Boolean network with state delays. We model the system as a Markov chain-based augmented system, simplifying the synchronization problem to a delay set stability issue. Analysis of the Markov chain’s transition matrix through positive recurrent closed sets yields synchronization criteria, both in probability and in probability one, based on Boolean matrix characteristics and matrix splitting techniques. These methods avoid the cumulative multiplication of high-dimensional matrices and reduce the complexity of the computation. Besides, the study progresses to explore asymptotic output synchronization, employing these methods. To demonstrate the practicality and effectiveness of the proposed methodology, several illustrative examples are provided.

本文探讨了布尔网络和具有状态延迟的概率布尔网络耦合系统中的延迟输出同步问题。我们将系统建模为基于马尔可夫链的增强系统，将同步问题简化为延迟集稳定性问题。根据布尔矩阵特征和矩阵分割技术，通过正循环闭集分析马尔可夫链的转换矩阵，可获得概率和概率一的同步标准。这些方法避免了高维矩阵的累加乘法，降低了计算的复杂性。此外，研究还利用这些方法探索渐近输出同步。为了证明所提方法的实用性和有效性，我们提供了几个示例。

引用次数: 0

Asynchronous intermittent sampled-data control for delayed complex dynamical networks with Lévy noise 具有莱维噪声的延迟复杂动态网络的异步间歇采样数据控制

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-11-01 DOI: 10.1016/j.nahs.2024.101550

Hui Zhou , Jingheng Feng , Ju H. Park , Wenxue Li

The article researches the synchronization issue of delayed multilink complex dynamical networks with Lévy noise (DMCNL) via asynchronously intermittent sampled-data decentralized control (AISDC). Asynchronous intermittent decentralized control, compared to synchronous intermittent control, is a policy that enables individual node-system to operate with distinct work and rest periods, thereby offering a higher degree of adaptability. Considering that continuous sampling in the control segment may result in resource wastage, a novel policy called AISDC is proposed by integrating the policy above and intermittent sampled-data control. Then, an auxiliary timer is designed for every node-system to make a compromise between regulating work intervals and controlling the rest interval. Moreover, graph theory and the Lyapunov method are combined to establish several synchronization criteria. Finally, numerical examples on a second-order Kuramoto model verify the feasibility of the proposed results.

文章通过异步间歇采样数据分散控制（AISDC）研究了具有莱维噪声的延迟多链路复杂动力学网络（DMCNL）的同步问题。与同步间歇控制相比，异步间歇分散控制是一种能使单个节点系统在不同的工作和休息时间内运行的策略，从而提供更高的适应性。考虑到控制部分的连续采样可能会造成资源浪费，我们将上述策略与间歇采样数据控制相结合，提出了一种名为 AISDC 的新型策略。然后，为每个节点系统设计了一个辅助定时器，以便在调节工作间隔和控制休息间隔之间做出折中。此外，图论和 Lyapunov 方法相结合，建立了多个同步标准。最后，二阶仓本模型的数值实例验证了所提结果的可行性。

引用次数: 0

Barrier function-based adaptive continuous higher-order sliding mode controllers 基于势垒函数的自适应连续高阶滑模控制器

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-10-31 DOI: 10.1016/j.nahs.2024.101551

Yacine Chitour , Hussein Obeid , Salah Laghrouche , Leonid Fridman

In this paper, two classes of continuous higher order adaptive sliding mode controllers based on barrier functions are developed for a perturbed chain of integrators with perturbations bounded by unknown functions. Both classes provide finite-time convergence of the state of the system to a predefined domain using a continuous control signal. The first class of adaptive controllers require few assumptions about the perturbation. However, it can provide unbounded control gains in general. To ensure bounded control gains in the case of a Lipschitz perturbation, a second class of adaptive controllers, called the adaptive higher order Super-Twisting (HOST) algorithm, is developed. The effectiveness of the proposed adaptive controllers is specifically assessed for a cart-pendulum system. Simulation results illustrate high performance in achieving stabilization, even in cases where the disturbance upper bound and its derivative are unknown.

本文针对由未知函数约束扰动的积分器扰动链，开发了两类基于障碍函数的连续高阶自适应滑模控制器。这两类控制器都能利用连续控制信号使系统状态在有限时间内收敛到预定域。第一类自适应控制器对扰动的假设很少。不过，它一般可以提供无界控制增益。为了确保在 Lipschitz 摄动情况下的有界控制增益，我们开发了第二类自适应控制器，称为自适应高阶超扭曲（HOST）算法。针对小车摆系统，对所提出的自适应控制器的有效性进行了具体评估。仿真结果表明，即使在扰动上限及其导数未知的情况下，也能实现高性能的稳定。

引用次数: 0

Exponential stability of positive implicit dynamic equations with constant coefficients 带常数系数的正隐式动态方程的指数稳定性

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems

Pub Date : 2024-10-23 DOI: 10.1016/j.nahs.2024.101549

Do Duc Thuan

In this paper, the problem of positivity and stability for linear time-invariant implicit dynamic equations is generally studied. We provide necessary and sufficient conditions for positivity of these equations. This characterization can be considered as a unification and generalization for some previous results. On the other hand, we study the exponential stability of positive implicit dynamic equations. Previously, this issue was not completely addressed. By using Krein–Rutman theorem, we show that a positive implicit dynamic equation on a time scale is uniformly exponentially stable if and only if the characteristic polynomial of the matrix pair defining the equation has all its coefficients of the same sign.

本文一般性地研究了线性时变隐式动态方程的实在性和稳定性问题。我们为这些方程的正定性提供了必要和充分条件。这一表征可视为对之前一些结果的统一和概括。另一方面，我们研究了正隐式动态方程的指数稳定性。在此之前，这个问题并没有得到彻底解决。我们利用 Krein-Rutman 定理证明，当且仅当定义方程的矩阵对的特征多项式的所有系数都是同号时，时间尺度上的正隐式动态方程是均匀指数稳定的。

引用次数: 0

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Nonlinear Analysis-Hybrid Systems

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