NDLI: General Convex Integral Control

Content Provider	Springer Nature Link
Author	Liu, Bai Shun Luo, Xiang Qian Li, Jian Hui
Copyright Year	2014
Abstract	In this paper, a fire-new general integral control, named general convex integral control, is proposed. It is derived by defining a nonlinear function set to form the integral control action and educe a new convex function gain integrator, introducing the partial derivative of Lyapunov function into the integrator and resorting to a general strategy to transform ordinary control into general integral control. By using Lyapunov method along with the LaSalle’s invariance principle, the theorem to ensure regionally as well as semi-globally asymptotic stability is established only by some bounded information. Moreover, the lemma to ensure the integrator output to be bounded in the time domain is proposed. The highlight point of this integral control strategy is that the integral control action seems to be infinity, but it factually is finite in the time domain. Therefore, a simple and ingenious method to design the general integral control is founded. Simulation results showed that under the normal and perturbed cases, the optimum response in the whole control domain of interest can all be achieved by a set of control gains, even under the case that the payload is changed abruptly.
Starting Page	565
Ending Page	570
Page Count	6
File Format	PDF
ISSN	14768186
Journal	International Journal of Automation and Computing
Volume Number	11
Issue Number	5
e-ISSN	17518520
Language	English
Publisher	Springer-Verlag
Publisher Date	2015-03-14
Publisher Place	Berlin, Heidelberg
Access Restriction	Subscribed
Subject Keyword	General integral control nonlinear integrator convex integrator nonlinear control output regulation Control, Robotics, Mechatronics Computer Applications Computer-Aided Engineering (CAD, CAE) and Design
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Systems Engineering Modeling and Simulation Computer Science Applications

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