Global Regulation of Feedforward Nonlinear Systems: A Logic-Based Switching Gain Approach

Abstract: In this article, we investigate the global regulation problem for a class of feedforward nonlinear systems. Notably, the systems under consideration allow unknown input-output-dependent nonlinear growth rates, which has not been considered in existing works. A novel logic-based switching (LBS) gain approach is proposed to counteract system uncertainties and nonlinearities. Furthermore, a tanh-type speed-regulation function is embedded into the switching mechanism for the first time to improve the convergence speed and transient performance. Then, a switching adaptive output feedback (SAOF) controller is proposed based on the developed switching mechanism, which is of a concise form and low-complexity characteristic. It is shown that the objective of global regulation is achieved with faster convergence speed and better transient performance under the proposed controller. Moreover, by strengthening the switching mechanism, the improved control approach can deal with feedforward nonlinear systems with external disturbances. Finally, representative examples are presented to demonstrate the effectiveness and advantages of our approach in comparison with the existing approaches.