On the Generalization of Integrator and Integral Control Action

Baishun Liu

Academy of Naval Submarine, Qingdao, China.

DOI: 10.4236/ijmnta.2014.32007                

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.

Keywords

General Integral Control, Nonlinear Control, General Integrator, General Integral Action, Sufficient Condition, Lyapunov Function, Output Regulation

Conflicts of Interest

The authors declare no conflicts of interest.

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