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Dynamic output feedback controller synthesis for piecewise-affine systems.

机译：分段仿射系统的动态输出反馈控制器综合。

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Increasing demands on performance for complex industrial engineering applications over wide operating regimes have caused control designers to move from linear to nonlinear controllers and to controllers that incorporate both discrete logic and continuous-time variables (such is the case of mode switching controllers). As a consequence, many of the currently developed control applications are logic-based and therefore incorporate both continuous-time and discrete-event state dynamics. However, traditional control theory has concentrated on analysis and control design for systems with either a continuous-time state or a discrete-event state. The new control applications have therefore resulted in the need to develop new analysis and synthesis methods. Based on the need expressed in the previous sentence, the objective of this work is to develop a new computer aided controller synthesis method for a class of complex dynamical systems. By complex we mean systems with multiple models, each model being valid in a given region of a certain space (e.g., the state space or some energy space), and systems involving mode switching between the different models. These systems have a state with hybrid nature that consists of both continuous-time physical variables and discrete-event logical variables. In that sense the complex systems considered in this work fall under the framework of hybrid systems. The work focuses mainly on an important subclass of hybrid systems: piecewise-affine systems (PWA). The thesis develops an approximate synthesis technique for both state and dynamic output feedback control of PWA systems. The synthesis method is only approximate in the sense that it is not guaranteed to work for all systems. However, when it works, the results are unambiguous and it yields a stabilizing feedback controller with exponential convergence rate guarantees.
机译：在广泛的运行范围内，对复杂工业工程应用程序的性能要求不断提高，导致控制设计人员从线性控制器转变为非线性控制器，并转向结合了离散逻辑和连续时间变量的控制器（例如模式切换控制器）。结果，许多当前开发的控制应用程序都是基于逻辑的，因此包含了连续时间和离散事件状态动态。然而，传统的控制理论集中于具有连续时间状态或离散事件状态的系统的分析和控制设计。因此，新的控制应用导致需要开发新的分析和综合方法。基于前一句所表达的需求，这项工作的目的是为一类复杂的动力学系统开发一种新的计算机辅助控制器综合方法。所谓复杂，是指具有多个模型的系统，每个模型在特定空间（例如状态空间或某些能量空间）的给定区域内有效，并且系统涉及不同模型之间的模式切换。这些系统具有混合状态，该状态由连续时间物理变量和离散事件逻辑变量组成。从这个意义上讲，这项工作中考虑的复杂系统属于混合系统的框架。这项工作主要集中在混合系统的一个重要子类上：分段仿射系统（PWA）。本文为PWA系统的状态和动态输出反馈控制开发了一种近似的综合技术。综合方法仅在不保证对所有系统都适用的意义上是近似的。但是，当它起作用时，结果是明确的，并且会产生具有指数收敛速率保证的稳定反馈控制器。

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