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Infinite-horizon optimal wireless control over shared state-dependent fading channels for IIoT systems
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DOI：10.1016/j.automatica.2026.113034.png)
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Abstract
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With the advent of Industry 4.0, mobile agent systems (MASs) are increasingly deployed to coordinate with multi-loop wireless control systems (WCSs) in smart manufacturing, giving rise to heterogeneous Industrial Internet of Things architectures. In such architectures, agents’ motion induces shadow fading on the wireless channel that the WCS is controlled over, which can significantly compromise its control performance. This paper focuses on an infinite-horizon optimal control problem for the MAS that guarantees the WCS performance while minimizing an average cost for the heterogeneous system subject to safety constraints. A state-dependent fading channel is modeled to capture cross-loop interference, as well as the effects of agent motion on successful wireless transmission. In order to address the heterogeneous system dynamics, the optimal control problem is formulated as the optimal constrained set stabilization of the MAS by establishing a necessary and sufficient condition for the Lyapunov-like WCS performance with the expected decay rates. Using the semi-tensor product of matrices, a constrained optimal state transition graph is constructed to encode the constrained system dynamics and the transition costs, which further reduces the problem to a minimum-mean cycle problem on this graph. By exploiting structural properties of the graph, the feasibility is proven, and an efficient algorithm is proposed for the construction of optimal controllers. An illustrative example illustrates the effectiveness of the proposed method.
Keywords:
Optimal control
Wireless control systems
Mobile agent systems
State-dependent fading channels
Industrial Internet of Things
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5.9
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1.1W
Citations:
5.2W
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