Output-Feedback Control for a Class of Stochastic High-Order Feedforward Nonlinear Systems with Delay

The problem of global output-feedback stabilization for a class of stochastic high-order time-delay feedforward nonlinear systems with different power orders is investigated. By combining the adding one power integrator technique with the homogeneous domination approach, an output-feedback controller design is proposed, which ensures the global asymptotical stability in probability of the closed-loop system

Estimation and Fault Diagnosis of Lithium-Ion Batteries: A Fractional-Order System Approach

This study investigates estimation and fault diagnosis of fractional-order Lithium-ion battery system. Two simple and common types of observers are designed to address the design of fault diagnosis and estimation for the fractional-order systems. Fractional-order Luenberger observers are employed to generate residuals which are then used to investigate the feasibility of model based fault detection and isolation. Once a fault is detected and isolated, a fractional-order sliding mode observer is constructed to provide an estimate of the isolated fault. The paper presents some theoretical results for designing stable observers and fault estimators. In particular, the notion of stability in the sense of Mittag-Leffler is first introduced to discuss the state estimation error dynamics. Overall, the design of the Luenberger observer as well as the sliding mode observer can accomplish fault detection, fault isolation, and estimation. The effectiveness of the proposed strategy on a three-cell battery string system is demonstrated

Finite-Time Distributed Control of Non-Triangular Stochastic Nonlinear Multi-Agent Systems with Input Constraints

This paper investigates the problem of finite-time distributed consensus control for non-triangular stochastic nonlinear multi-agent systems (SNMASs) with input constraints. Fuzzy logical systems are used to identify the unknown nonlinear dynamics of non-triangular SNMASs. A finite-time command filter is utilized to eliminate the issue of “explosion of complexity” in the conventional backstepping-based distributed control algorithm, and a fractional power error compensation mechanism is constructed to improve the distributed control performance of SNMASs. It is proved that the proposed distributed controller enables all of the closed-loop system’s signals to be semi-globally finite-time bounded in probability, and the consensus tracking errors will converge to a sufficiently small neighborhood of the origin in a finite time. Finally, the effectiveness of the presented finite-time distributed control scheme is illustrated with a simulated example