The robust guaranteed cost control problem for uncertain discrete-time systems with state and input quantizations has been studied in this paper. The polytope type uncertainties are considered in the plants. Different from previous related works, a novel guaranteed cost control strategy has been put forward in this paper. The novelty and challenge lie in that the quantized state and quantized input are included in the guaranteed cost function. Through introducing some auxiliary scalars and combining with the S-procedure, new criteria are developed for the robust stability and guaranteed cost performance for discrete-time systems with state and input quantizations. Based on a new two-step design strategy, the controller and dynamic quantizers can be easily obtained by means of linear matrix inequalities. In the end, two examples are given to demonstrate the effectiveness and applicability of the proposed method.

研究了具有状态和输入量化的不确定离散时间系统的鲁棒保证成本控制问题。在植物中考虑多表位类型的不确定性。与以往的相关工作不同，本文提出了一种新颖的保证成本控制策略。新颖性和挑战在于，量化状态和量化输入包含在保证成本函数中。通过引入一些辅助标量并与S结合-过程，为具有状态和输入量化的离散时间系统的鲁棒稳定性和保证的成本性能开发了新的标准。基于新的两步设计策略，可以通过线性矩阵不等式轻松获得控制器和动态量化器。最后，通过两个例子说明了所提方法的有效性和适用性。