Controllability - Wikipedia
Controllability is an important property of a control system and plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control. Controllability and observability are dual aspects of the same problem.
可控制性 - 维基百科，自由的百科全书
可控制性（Controllability）是控制系統中的重要特性，在許多控制問題中都很重要，例如是否可以透過回授穩定一個本身不穩定的系統，或是最佳控制的相關問題。
3. 能达性和能控性 (1) Reachability and Controllability - 知乎
这一篇文章介绍状态空间设计，或者说所谓现代控制理论中 最为重要的概念 之一： 能控性 (Controllability)。 同时也将引申出能达性（Reachability）的概念。 这两个概念是Kalman引入的，为了描述一个动力学系统是否能够被输入所控制的性质。 严格来说，不管是线性还是非线性系统，我们都可以讨论Controllability和Reachability。 不过在这里，我们讨论的概念针对于线性系统而言，而且主要针对线性定常系统。 关于非线性系统的所谓能控性，这不是简简单单能说清楚 …
Definition: An LTI system is controllable if, for every x (t) and every finite T > 0, there exists an input function u(t), 0 < t ≤ T , such that the system state goes from x(0) = 0 to x(T ) = x .
Controllability of complex networks - Nature
2011年5月11日 · Here we develop analytical tools to study the controllability of an arbitrary complex directed network, identifying the set of driver nodes with time-dependent control that can guide the system’s...
Controllability and Observability in Control System
2024年2月27日 · Controllability is the ability to control the state of the system by applying specific input whereas observability is the ability to measure or observe the system's state. In this article, we will study controllability and observability in detail.
1.7 Controllability Gramian Problem: Given x(0) = 0 and any x¯, compute u(t) such that x(t¯) = ¯x for some ¯t > 0. Solution: We know that x¯ = x(t¯) = Z¯t 0 eA(t¯−τ)Bu(τ)dτ. If we limit our search to controls u of the form u(t) = BTeAT(¯t−t)z¯ we have x¯ = Z¯t 0 eA(¯t−τ)BBTeAT(¯t−τ)zdτ,¯ = Z ¯t 0 eA(¯t−τ)BBTeAT ...
Control Systems/Controllability and Observability - Wikibooks
2018年12月16日 · The concept of controllability refers to the ability of a controller to arbitrarily alter the functionality of the system plant. The state-variable of a system, x , represents the internal workings of the system that can be separate from the regular input-output relationship of …
We can compute Xc; it is the unique solution to AXc + XcA∗ + BB∗ = 0. The eigenvalues of Xc provide information on how controllable the system is. If any λ.
In brief, a linear system is stable if its state does remains bounded with time, is controllable if the input can be designed to take the system from any initial state to any nal state, and is observable if its state can be recovered from its outputs. We will get these de nitions more accurate, and give simple conditions to check them out!