Controllability - Wikipedia
网页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.
网页2010年10月13日 · Controllability. 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 .
网页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
网页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 the system.
Controllability and Observability in Control System
网页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.
Controllability and observability | SpringerLink
网页2020年6月21日 · A complete classification of controllable systems with one-dimensional input is given. Download chapter PDF. In this chapter basic information about linear differential equations are recalled and the main concepts of control theory, controllability and observability, are studied.
Controllability of complex networks - Nature
网页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...
Controllability - an overview | ScienceDirect Topics
网页Controllability involves dynamic states and is the capability of achieving a goal within a prescribed timeframe, whereas flexibility deals with steady-state conditions. The controllability concept regarding resilience can be defined as designing processes that are almost under control.
Controllability Definition & Meaning - Merriam-Webster
网页a. : to exercise restraining or directing influence over : regulate. control one's anger. b. : to have power over : rule. A single company controls the industry. c. : to reduce the incidence or severity of especially to innocuous levels. control an insect population.
8 - Controllability and observability of linear systems
网页2012年6月5日 · Introduction and definition of controllability. The concepts of controllability and observability, which were first introduced by Kalman (1960), play an important role in modern system theory.