To cope with the control problem of industrial processes with partial actuator failure and disturbance, an improved synthetic minmax optimization design-based ${H_{\infty} }$ linear quadratic (LQ) tracking control strategy is presented in this paper. A new state space model that integrates the dynamics of the process states and the tracking error is first formulated as the basic dynamic process representation. By introducing the new state space model formulation, a new minmax optimization of the ${H_{\infty} }$ norm of the system performance is presented for LQ tracking control design, where more degrees of freedom are offered through the simultaneous adjusting of the tracking dynamics and the state regulation in the cost function, resulting in the enhanced control performance over traditional ${H_{\infty} }$ LQ tracking control. Meanwhile, the nominal closed-loop system stability and robustness under uncertainty are discussed and the monotonicity conditions that are sufficient for both nominal and robust system stability are derived. The case studies on an injection molding process and a nonlinear batch reactor under partial actuator failures and disturbance show the effectiveness of the proposed strategy.

中文翻译：

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一种新的综合最小最大优化设计 ${H_{\infty} }$ 执行器部分故障下工业过程的 LQ 跟踪控制

为应对部分执行器故障和扰动的工业过程控制问题，一种改进的基于合成最小最大优化设计 ${H_{\infty} }$本文提出了线性二次（LQ）跟踪控制策略。一个新的状态空间模型集成了过程状态的动态和跟踪误差，首先被表述为基本的动态过程表示。通过引入新的状态空间模型公式，新的 minmax 优化${H_{\infty} }$ 提出了LQ跟踪控制设计的系统性能规范，通过同时调整跟踪动态和成本函数中的状态调节，提供了更多的自由度，从而增强了传统的控制性能。 ${H_{\infty} }$LQ 跟踪控制。同时，讨论了不确定性下名义闭环系统的稳定性和鲁棒性，推导出了满足名义和鲁棒系统稳定性的单调性条件。在部分执行器故障和干扰下的注塑成型工艺和非线性间歇反应器的案例研究表明了所提出策略的有效性。