TITLE:
Constructive General Bounded Integral Control
AUTHORS:
Baishun Liu
KEYWORDS:
General Integral Control, Nonlinear Control, Bounded Integral Control, General Nonlinear Integrator, Output Regulation
JOURNAL NAME:
Intelligent Control and Automation,
Vol.5 No.3,
August
8,
2014
ABSTRACT: This
note proposes a systematic and more generic method to construct general bounded
integral control. It is established by defining three new function sets and
citing two function sets to construct three kinds of general bounded integral
control actions and integrators, resorting to a universal strategy to transform
ordinary control into general integral control and adopting Lyapunov method to
analyze the stability of the closed-loop system. A universal theorem to ensure regionally
as well as semi-globally asymptotic stability is provided in terms of some
bounded information, and even does not need exact knowledge of Lyapunov
function. Its one feature is that the indispensable element used to construct
the general integrator can be taken as any integrable function, which satisfies
Lipschitz condition and the self excited integral dynamic is asymptotically
stable. Another feature is that the method to construct general bounded
integral control action is extended to a wider function set. Based on this
method, the control engineers not only can choose the most appropriate control
law in hand but also have more freedom to construct the bounded integral
control actions and integrators, and then a high performance integral
controller is more easily found. As a result, the generalization of the bounded
integral control is achieved.