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Underwater polarization (POL) fields contain spatial information about the Sun. It offers underwater POL fields the capability of navigation and positioning. Benefiting from the advantages of autonomy, the POL positioning is an effective complement for the global navigation satellite system (GNSS)-denied underwater environment. The current POL-based positioning strategies always exploit the Sun's position directly. However, the solution of geolocalization is susceptible to the constant deviations in Sun measurement. In an effort to address this issue, a two-step positioning model is designed. The Sun's positions over time are calculated by exploiting the POL field inside Snell's window, in which the underwater disturbance can be shielded. Subsequently, the first step in the two-step model adopts time-sequence Suns for coarse positioning. Around the coarse positioning solution, a local region is determined as the precondition for the second step positioning. A time differential Sun (TDS) positioning strategy is proposed for a refined geolocation. TDS exploits the Sun's dynamic movement for positioning, and thereby the position errors arising from the constant deviations are eliminated. An underwater POL positioning system is developed. The experimental results demonstrate that the positioning accuracy is improved distinctly by the TDS strategy.

Underwater autonomous navigation has long been a challenging problem due to the scarcity of information sources. The polarization navigation offers a feasible solution to this problem. The existing polarization navigation schemes, however, require that the horizontal attitude is known, which can only be used for 2-D orientation. To address the limitation, a 3-D attitude determination strategy is developed in this article by exploiting the underwater downwelling radiance fields (light intensity and polarization). In particular, the horizontal attitude information contained in the Snell's window, a unique underwater optical phenomenon induced by refraction, is extracted via an improved edge recognition method. On this basis, underwater polarization is exploited to calculate solar position for orientation. By this means, the 3-D attitude is acquired independently using underwater downwelling radiance fields. The effectiveness of the proposed strategy is validated via experiments in both the water tank and open sea environments.

We propose a reliable state feedback control method for uncertain linear systems with a terminal reliability constraint. By modeling the uncertainties from system parameters and disturbances with multiple probabilistic intervals whose probabilities sum to 1, multiple corresponding probabilistic intervals of control responses are approximately estimated through the system dynamics as the uncertainty propagation bridge. This not only mitigates the need for large sample data required by probabilistic methods for robust control, but also avoids the large error caused by the first-order Taylor expansion required by nonprobabilistic methods in the case of large radiuses of uncertain parameters. Considering the different characteristics of transient and steady-state phases, a prescribed performance threshold function is established for the concerned control response. Based on probabilistic intervals and threshold, the failure rate model and reliability model for the concerned control response are formulated. Further, an optimization problem for the reliable state feedback control with the terminal reliability constraint is formulated and solved by the simulated annealing algorithm. An illustrative example is presented to demonstrate the feasibility and effectiveness of the reliable state feedback control.

High-precision and safety control in face of disturbances and uncertainties is a challenging issue of both theoretical and practical importance. In this article, new adaptive anti-disturbance control schemes are proposed for a class of uncertain nonlinear systems with composite disturbances, including additive disturbances, multiplicative actuator faults, and implicit disturbances deeply coupled with system states. Both the cases with known and unknown control/fault directions are investigated. By properly fusing the techniques of disturbance observers and adaptive compensation, it is shown that all closed-loop signals are globally uniformly bounded and the tracking error converges to zero asymptotically, no matter the control/fault directions are known or not. In the case of known directions, the proposed control scheme, for the first time, guarantees asymptotic tracking and ${L}_{\infty }$ tracking performance simultaneously in face of disturbances and actuator faults. Moreover, novel Nussbaum functions and a contradiction argument are introduced, which allow the system to have multiple unknown nonidentical control directions and unknown time-varying fault direction. Simulation results illustrate the effectiveness of the proposed control schemes.