In this article, a continuous terminal sliding mode control algorithm is proposed for servo motor systems. A novel full-order terminal sliding mode surface is proposed based on the bilimit homogeneous property, such that the sliding motion is finite-time stable independent of the system's initial condition. A new continuous terminal sliding mode control algorithm is proposed to guarantee that the system states reach the sliding surface in finite-time. Not only the robustness is guaranteed by the proposed controller but also the continuity makes the control algorithm more suitable for the servo mechanical systems. Finally, a numerical example is presented to depict the advantages of the proposed control algorithm. An application in the rotary servo system is done to validate the effectiveness of the proposed control strategy.

A novel sliding mode control design method is developed to address the robust stabilization problem for uncertain time-varying networked control systems subject to state delay, which utilizes auxiliary matrices to avoid the difficulties of finding quadratic Lyapunov functions and solving the linear matrix inequalities. By embedding the original system into a higher dimensional system, simplified piecewise nonnegative functions can be used to analyze the system. Stability criteria are obtained which can be satisfied and verified easily. An optimization problem is defined based on these criteria, to obtain the sliding mode control parameters to ensure the exponential stability of the closed-loop system.

This article investigates the sliding-mode control design problem for uncertain time-varying delayed systems. A novel non-negative constraints approach is proposed, which can be used to determine the stability of the controlled systems during the sliding motion. A new stability condition is obtained, which is easy to satisfy and verify. The parameters of the sliding-mode surface can be calculated by solving the non-negative constraints-based optimization problem defined in this article. Simulation examples are presented to illustrate the effectiveness and advantages of the developed strategy.

The integration of active user detection (AUD) and integrated sensing and communication (ISAC) enables the realization of communication and sensing functionalities over one hardware platform within the realm of ultra-massive machine-type communications (umMTC). However, the coupling of communication and sensing signals at the receiver poses challenges in accurately acquiring the respective parameters for both functionalities. In this paper, a unified tensor-based joint communication and sensing parameter estimation algorithm is proposed. First, leveraging CANDECOMP/PARAFAC decomposition (CPD), the channel model is converted into a unified tensor-based form, facilitating effective processing of the received signals. Subsequently, a two-stage CPD-based unified communication and sensing parameter estimation algorithm is developed. In the first stage, the factor matrix is estimated by utilizing the matrix subspace-based method and the Vandermonde property of the matrix. In the second stage, equivalent path parameters are extracted based on the estimated factor matrices. Furthermore, to solve the coupling problem of equivalent path parameters, a joint alternating iterative pilot-channel estimation (JAI-PCE) algorithm is proposed, effectively decoupling and accurately estimating the parameters. Simulation results verify the effectiveness of our proposed algorithm in terms of AUD, channel estimation, and radar sensing.