Control of Linear Plants with Actuators Subject to Hard Constraints

使用受硬约束的执行器控制线性设备

• 批准号: 0000475
• 负责人: Ali Saberi
• 金额: $ 12.86万
• 依托单位: Washington State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-09-01 至 2005-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0000475&HistoricalAwards=false
• 关键词: Control; Linear; Plants; Actuators; Subject

As well known, practical control problems are always dominated by constraints. Until recently these constraints have been conspicuously absent from almost all-modern control literature, as taking such constraints into account leads to hard complex nonlinear problems. On the other hand, ignoring such constraints can be detrimental to the stability and performance of control systems. There are disastrous examples for detrimental effect of neglecting constraints such as the Chernobyl unit 4 nuclear power plant disaster in 1986 or YF-22 crash of April 19. One of the most commonly encountered constraints in control engineering is the actuator's constraint and limitations. Actuator magnitude and rate saturations are some of the most common and significant constraints in a control system. Taking such constraints in analysis and design of control systems immensely increases the industrial relevance of modern control theory.During the 90's we have witnessed renewed and intense research activity in the area of control of linear plants with constrained actuators. This research area is broadly viewed as one of the major areas of research in nonlinear control theory. In the past few years, the research activities in this area including the work of this investigator and his co-workers have given rise to the emergence of powerful analysis and design tools for control systems with actuator constraints. Using the structure of amplitude and rate saturation nonlinearity in a meaningful way, this investigator and his co-workers through the support of a prior NSF grant produced a body of work that concerns with (a) external stability, (b) internal stability, (c) external as well as internal stability, (d) output regulation, and (e) additive disturbance rejection in both global and semiglobal framework.The performance and robustness issues whenever actuators are subject to amplitude and rate constraints are not dealt with in the literature or in our prior work. Hence, dealing with performance and robustness issues is a natural next step for research in this area, and is the focus of this proposal. The problems associated with performance and robustness issues whenever actuators are constrained, though complex and challenging, are highly crucial for control engineering applications and thus should be viewed as fundamental research problems in nonlinear control theory. This proposal formulates a number of research tasks, which form the core of this nonlinear research area.

众所周知，实际控制问题总是受到约束的支配。 直到最近，几乎所有现代控制文献中都明显缺乏这些约束，因为考虑这些约束会导致复杂的非线性问题。 另一方面，忽略这些约束可能不利于控制系统的稳定性和性能。 有一些由于忽视约束而产生有害影响的灾难性例子，例如 1986 年的切尔诺贝利 4 号核电站灾难或 4 月 19 日的 YF-22 坠机事故。控制工程中最常见的约束之一是执行器的约束和限制。 执行器幅度和速率饱和是控制系统中最常见和最重要的约束。 在控制系统的分析和设计中考虑这些约束极大地提高了现代控制理论的工业相关性。在 20 世纪 90 年代，我们目睹了带约束执行器的线性设备控制领域的新的、激烈的研究活动。 该研究领域被广泛视为非线性控制理论的主要研究领域之一。 在过去的几年中，该领域的研究活动，包括本研究人员及其同事的工作，已经催生了用于具有执行器约束的控制系统的强大分析和设计工具。 以有意义的方式利用振幅和速率饱和非线性的结构，该研究人员和他的同事在之前的 NSF 拨款的支持下开展了一系列工作，涉及 (a) 外部稳定性，(b) 内部稳定性，(c) 外部和内部稳定性，(d) 输出调节，以及 (e) 全局和半全局框架中的附加扰动抑制。当执行器受到影响时，性能和鲁棒性问题 文献或我们之前的工作中没有涉及幅度和速率约束。 因此，处理性能和鲁棒性问题是该领域研究的自然下一步，也是本提案的重点。 当执行器受到约束时，与性能和鲁棒性问题相关的问题虽然复杂且具有挑战性，但对于控制工程应用至关重要，因此应被视为非线性控制理论的基础研究问题。 该提案制定了许多研究任务，构成了该非线性研究领域的核心。