This article investigates the resilient noncooperative game strategy design problem for the continuous-time system subjected to the Wiener type disturbance. To reflect the reality, the fading measurement and gain perturbation phenomena are simultaneously taken into consideration. Due to the considered complexities, there is little chance of obtaining the accurate cost function. For the sake of quantifying the controller performance, we resort to a certain upper bound of cost function (UBoCF) as an alternative. Then, the so-called noncooperative game strategy is designed which is capable of minimizing the derived UBoCF in a parallel manner. The designed noncooperative game strategy is the solution to a bunch of coupled differential Riccati-like equations (DREs). In addition, the theory analysis is generalized to the infinite-horizon with hope to describe the steady-state behavior. Specifically, the restraint conditions are provided to guarantee the stability of the system. Finally, a numerical example on the load frequency control (LFC) system is shown to verify the effectiveness of the proposed methodology.

中文翻译：

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Wiener 型干扰下衰落测量信道的非合作博弈策略设计：处理连续时间时变系统


本文研究了受 Wiener 型干扰的连续时间系统的弹性非合作博弈策略设计问题。为了反映现实情况，同时考虑了衰落测量和增益扰动现象。由于考虑了复杂性，获得准确成本函数的机会很小。为了量化控制器性能，我们采用一定的成本函数上限 （UBoCF） 作为替代方案。然后，设计了所谓的非合作博弈策略，该策略能够以并行方式最小化推导的 UBoCF。设计的非合作博弈策略是一堆耦合微分 Riccati-like 方程 （DRE） 的解。此外，将理论分析推广到无限视界，希望能描述稳态行为。具体来说，提供约束条件是为了保证系统的稳定性。最后，给出了负载频率控制 （LFC） 系统的数值算例，验证了所提方法的有效性。