João Pedro Silvestre , Pedro Casau , Paulo Oliveira
{"title":"Adaptive hybrid global attitude tracking controller","authors":"João Pedro Silvestre , Pedro Casau , Paulo Oliveira","doi":"10.1016/j.nahs.2024.101555","DOIUrl":"10.1016/j.nahs.2024.101555","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"55 ","pages":"Article 101555"},"PeriodicalIF":3.7,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo Jr.
{"title":"Efficient strategy synthesis for switched stochastic systems with distributional uncertainty","authors":"Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo Jr.","doi":"10.1016/j.nahs.2024.101554","DOIUrl":"10.1016/j.nahs.2024.101554","url":null,"abstract":"<div><div>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 <span><math><mrow><mi>ɛ</mi><mo>−</mo></mrow></math></span>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 <em>robust Markov decision process</em> (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.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"55 ","pages":"Article 101554"},"PeriodicalIF":3.7,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sustainable solution for hybrid differential game with regime shifts and random duration","authors":"Yilun Wu, Anna Tur, Peichen Ye","doi":"10.1016/j.nahs.2024.101553","DOIUrl":"10.1016/j.nahs.2024.101553","url":null,"abstract":"<div><div>Switching phenomena are ubiquitous in real-world applications. An <span><math><mi>n</mi></math></span>-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.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"55 ","pages":"Article 101553"},"PeriodicalIF":3.7,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yong Wang , Bowen Li , Qinyao Pan , Jie Zhong , Ning Li
{"title":"Asymptotic synchronization in coupled Boolean and probabilistic Boolean networks with delays","authors":"Yong Wang , Bowen Li , Qinyao Pan , Jie Zhong , Ning Li","doi":"10.1016/j.nahs.2024.101552","DOIUrl":"10.1016/j.nahs.2024.101552","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"55 ","pages":"Article 101552"},"PeriodicalIF":3.7,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
