Integrating robustness, optimality and constraints in control of nonlinear processes
Integrating robustness, optimality and constraints in control of nonlinear processes
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DOI：
10.1016/s0009-2509(00)00530-3
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发表时间：
2001-03
影响因子：
4.7
通讯作者：
N. El‐Farra;P. Christofides
中科院分区：
文献类型：
--
作者：
N. El‐Farra;P. Christofides
本文主要研究了具有不确定性和执行器约束的单输入单输出非线性过程控制的统一实用框架。利用基于状态空间Lyapunov的一般方法，该框架给出了一种直接的非线性控制器设计方法，该方法集成了鲁棒性、最优性和显式约束处理能力，同时提供了保证闭环系统稳定的状态空间区域的明确和直观的描述。这一特征定量地捕捉到了不确定性和输入约束对我们将过程动态引导到所需方向的能力施加的限制。所提出的控制方法导出了有界最优状态反馈控制律的显式解析公式，该控制律在存在主动输入约束的情况下实施稳定性和鲁棒渐近参考输入跟踪。通过一个化学反应器的实例说明了该控制规律的性能，并与现有的过程控制策略进行了比较。
This work focuses on the development of a unified practical framework for control of single-input–single-output nonlinear processes with uncertainty and actuator constraints. Using a general state-space Lyapunov-based approach, the developed framework yields a direct nonlinear controller design method that integrates robustness, optimality, and explicit constraint-handling capabilities, and provides, at the same time, an explicit and intuitive characterization of the state-space regions of guaranteed closed-loop stability. This characterization captures, quantitatively, the limitations imposed by uncertainty and input constraints on our ability to steer the process dynamics in a desired direction. The proposed control method leads to the derivation of explicit analytical formulas for bounded robust optimal state feedback control laws that enforce stability and robust asymptotic reference-input tracking in the presence of active input constraints. The performance of the control laws is illustrated through the use of a chemical reactor example and compared with existing process control strategies.