In this paper, the mean-square filtering problem for polynomial system states confused with white Poisson noises over polynomial observations is studied proceeding from the general expression for the stochastic Ito differentials of the mean-square estimate and the error variance.In contrast to the previously obtained results, the paper deals with the general case of nonlinear polynomial states and observations with white Poisson noises.As a result, the Ito differentials for the mean-square estimate and error variance corresponding to the stated filtering problem are first derived.The procedure for obtaining an approximate closed-form finite-dimensional system of the filtering equations for any polynomial state over observations with any polynomial drift is then established.In the example, the obtained closed-form filter is applied to solve the third order sensor filtering problem for a quadratic state, assuming a conditionally Poisson initial condition for the extended third order state vector.The simulation results show that the designed filter yields a reliable and rapidly converging estimate.
In this paper, we present a novel two-step strategy for static output-feedback controller design.In the first step, an optimal state-feedback controller is obtained by means of a linear matrix inequality (LMI) formulation.In the second step, a transformation of the LMI variables is used to derive a suitable LMI formulation for the static output-feedback controller.This design strategy can be applied to a wide range of practical problems, including vibration control of large structures, control of offshore wind turbines, control of automotive suspensions, vehicle driving assistance and disturbance rejection.Moreover, it allows designing decentralized and semi-decentralized static output-feedback controllers by setting a suitable zerononzero structure on the LMI variables.To illustrate the application of the proposed methodology, two centralized static velocity-feedback H ∞ controllers and two fully decentralized static velocity-feedback H ∞ controllers are designed for the seismic protection of a five-story building.
This paper establishes an exponential H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> synchronization method for a class of master and slave neural networks (MSNNs) with mixed time-delays, where the delays comprise different neutral, discrete and distributed time-delays and the class covers the Lipschitz-type nonlinearity case. By introducing a novel discretized Lyapunov-Krasovskii functional in order to minimize the conservatism in the stability problem of the system and also using some free weighting matrices, new delay-dependent sufficient conditions are derived for designing a delayed state-feedback control as a synchronization law in terms of linear matrix inequalities (LMIs). The controller guarantees the exponential H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> synchronization of the two coupled MSNNs regardless of their initial states. Detailed comparisons with different number of segments are made and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.
In order to overcome the complexities encountered in sensing devices with data collection, transmission, storage and analysis toward condition monitoring, estimation and control system purposes, machine learning algorithms have gained popularity to analyze and interpret big sensory data in modern industry. This paper put forward a comprehensive survey on the advances in the technology of machine learning algorithms and their most recent applications in the sensing and condition monitoring fields. Current case studies of developing tailor-made data mining and deep learning algorithms from practical aspects are carefully selected and discussed. The characteristics and contributions of these algorithms to the sensing and monitoring fields are elaborated.
This article proposes a joint learning technique for control inputs and triggering intervals of self‐triggered control nonlinear systems with unknown dynamics. First, deep reinforcement learning is introduced to the self‐triggered control system by considering both the control performance and triggering performance in the reward function. Then, the control inputs and triggering intervals are simultaneously learned by the developed deep deterministic policy gradient approach. Under this strategy, not only the desired control performance is guaranteed for unknown nonlinear systems, but also both the computation and communication occupation for the controlled system are decreased without any triggering thresholds. Finally, simulations for the cart‐pole swing‐up system are illustrated to verify the effectiveness of the proposed scheme.
Quality prediction models are constructed based on multivariate statistical methods, including ordinary least squares regression (OLSR), principal component regression (PCR), partial least squares regression (PLSR), and modified partial least squares regression (MPLSR). The prediction model constructed by MPLSR achieves superior results, compared with the other three methods from both aspects of fitting efficiency and prediction ability. Based on it, further research is dedicated to selecting key variables to directly predict the product quality with satisfactory performance. The prediction models presented are more efficient than tradition ones and can be useful to support human experts in the evaluation and classification of the product quality. The effectiveness of the quality prediction models is finally illustrated and verified based on the practical data set of the red wine.
1 School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia 2 Department of Engineering, Faculty of Technology and Science, University of Agder, 4898 Grimstad, Norway 3 College of Automation, Chongqing University, Chongqing 400044, China 4 School of Control Science and Engineering, Shandong University, Jinan 250061, China 5 College of Automation, Harbin Engineering University, Harbin 150001, China
Published version of av article from the journal: Nonlinear dynamics and systems theory. Also available fro the publisher:http://www.e-ndst.kiev.ua/v10n1.htm
The emerging big data allows educational studies to examine teaching and learning behaviors over time and at scale. Less available is population-representative big data. This paper builds the first nationally representative sample of teachers' online curation on a social media platform (i.e. Pinterest), the Public Instructional Network of School Resources (PINSR). This effort includes developing a big-rich data sampling framework, integrating social media data with administrative and census "ground truth" sources, and validating the population representativeness. Finally, we employ PINSR and present a worked example of teachers' social media curation behavioral patterns across regions and time.
This article deals with the dynamic sliding mode control (SMC) problem for unmatched nonlinear parameter‐varying systems. The unmatched nonlinear model refers to the systems matrices of control input and nonlinearity terms having inconsistent values and structures. A linear sliding surface function is constructed, and the resulting sliding mode dynamics is formulated into a full‐order descriptor nonlinear parameter‐varying system. Then, based on a parameter‐dependent Lyapunov function, the synthesis procedure of the sliding manifold is derived, which guarantees the asymptotic stability of the sliding motion. Furthermore, a dynamic SMC law is proposed to enforce the resultant closed‐loop system towards the sliding manifold in finite time. It is noteworthy that both the sliding surface and control law are depended on both time‐varying and measurable parameters. Finally, simulation studies are provided to unfold the validity of the proposed method.