Perturbation-based model predictive control for uncertain systems with amplify-and-forward relays
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Updated: Apr 10, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
Published on: May 8, 2021
Lingling Zhang1, Yan Song1, Bin Zhang2
1Department of Control Science and Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Yangpu District, Shanghai 200093, China.
Abstract:
This paper is concerned with the perturbation-based model predictive control (MPC) problem for uncertain systems with amplify-and-forward (AmF) relays, where relays are adopted to enhance the degraded signal due to channel fading. To reduce the online computational burden and enlarge the initial feasible region, the perturbation-based MPC is put forward. Regarding uncertainties and the randomness of the transmission power, the mathematical expectation value of an infinite-time quadratic function is developed. Then, with the help of the technique of inequality analysis, optimization problems including offline and online parts are established. Sufficient criteria are provided to ensure the mean-square stability of the closed-loop system. Finally, a numerical simulation and a practical experiment are employed to validate the efficacy of the proposed strategy.
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