International Journal of Modern Nonlinear Theory and Application
Volume 3, Issue 2 (June 2014)
ISSN Print: 2167-9479 ISSN Online: 2167-9487
Google-based Impact Factor: 0.27 Citations
On the Generalization of Integrator and Integral Control Action ()
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ABSTRACT
This paper provides a solution to generalize the integrator and the integral control action. It is achieved by defining two function sets to generalize the integrator and the integral control action, respectively, resorting to a stabilizing controller and adopting Lyapunov method to analyze the stability of the closed-loop system. By originating a powerful Lyapunov function, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established by some bounded information. Consequently, the justification of two propositions on the generalization of integrator and integral control action is verified. Moreover, the conditions used to define the function sets can be viewed as a class of sufficient conditions to design the integrator and the integral control action, respectively.
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