The problem of sliding mode control (SMC) for a class of Markov jump systems (MJSs) is addressed in this paper based on a resource-aware triggering mechanism which realizes computational resources saving and disturbance attenuation simultaneously. By introducing the self-triggered policy, the next execution time is pre-computed for sampling, updating and executing by relying on the latest sampled information. Then, the switching surface and the related dynamics of the original MJSs are obtained by means of a self-triggered sampling scheme. To guarantee both the system stability and the desired disturbance attenuation performance, sufficient conditions are presented in terms of linear matrix inequalities. Moreover, to ensure the time finiteness of the predefined switching surface reachability and satisfy the desirable sliding motion performance, an SMC law is proposed. The validity and superiority of the developed scheme are demonstrated via a simulation example.

本文基于资源感知触发机制解决了一类马尔可夫跳跃系统（MJS）的滑模控制（SMC）问题，该触发机制同时实现了计算资源的节省和干扰的衰减。通过引入自触发策略，根据最新的采样信息，预先计算下一次执行时间进行采样、更新和执行。然后，通过自触发采样方案获得原始 MJS 的切换表面和相关动力学。为了保证系统的稳定性和期望的干扰衰减性能，充分条件是根据线性矩阵不等式给出的。此外，为了确保预定义切换表面可达性的时间有限性并满足理想的滑动运动性能，提出了SMC法。通过仿真实例证明了所开发方案的有效性和优越性。