Multi-objective optimization of a purified terephthalic acid (PTA) oxidation unit is carried out in this paper by using a process model that has been proved to describe industrial process quite well. The model is a semi-empirical structured into two series ideal CSTR models. The optimal objectives include maximizing the yield or inlet rate and minimizing the concentration of 4-carboxy-benzaldhyde, which is the main undesirable intermediate product in the reaction process. The multi-objective optimization algorithm is based on Neighborhood and Archived GA, proposed by the authors. The performance of NAGA is further illustrated by application to the title process.

Robust stabilisability and H∞ control criteria are provided for a class of uncertain timedelay systems with multiple state delays. Simpler and less conservative delay-dependent results given in terms of linear matrix inequalities (LMIs) are derived based on Lyapunov-Krasovskii functional method and Riccati equation transformation technique.

This note presents necessary and sufficient conditions for the quadratic stability and stabilization of dynamic interval systems. The results are obtained in terms of linear matrix inequalities (LMIs) and extended to the quadratic stability and stabilization of linear systems with uncertain parameters.With the powerful LMI toolbox, it is very convenient to solve these problems. The illustrative examples show that this method is effective and less conservative to check the robust stability and to design the stabilizing controller for dynamic interval systems.

computationally tractable unified finite word length closed-loop stability measure is derived which is applicable to fixed-point, floating-point and block-floating-point representation schemes. Both the dynamic range and precision of an arithmetic scheme are considered in this new unified measure. For each arithmetic scheme, the optimal controller realization problem is defined and a numerical optimization approach is adopted to solve it. Numerical examples are used to illustrate the design procedure and to compare the optimal controller realizations in different representation schemes.

基于不变集理论，拓展了Chiscil等人提出的约束不变预测控制方法（IC-PC），提出了一种适用于带约束多面体不确定线性系统的预测控制的框架。其关键在于为针对标称系统设计的在线优化问题附加适当的额外的鲁棒可行约束。若优化问题在初始阶段可行，则此约束可保证在线优化问题始终可行，从而保证了实际系统中约束条件的始终满足。同时提出了闭环系统鲁棒稳定的一个充分条件，可为成本函数的选择提供指导以保证预测控制器的鲁棒镇定。