TITLE:
General Integral Control Design via Singular Perturbation Technique
AUTHORS:
Baishun Liu, Xiangqian Luo, Jianhui Li
KEYWORDS:
General Integral Control, Nonlinear Control, Robust Control, General Integrator, General Integral Action, Singular Perturbation Method, Output Regulation
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.4,
September
24,
2014
ABSTRACT: This paper proposes a systematic method to design general integral control with the generic integrator and integral control action. No longer resorting to an ordinary control along with a known Lyapunov function, but synthesizing singular perturbation technique, mean value theorem, stability theorem of interval matrix and Lyapunov method, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. Its highlight point is that the error of integrator output can be used to stabilize the system, just like the system state, such that it does not need to take an extra and special effort to deal with the integral dynamic. Theoretical analysis and simulation results demonstrated that: general integral controller, which is tuned by this design method, has super strong robustness and can deal with nonlinearity and uncertainties of dynamics more forcefully.