This work focuses on linear finite-dimensional output feedback control of the Kuramoto–Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of ...

This paper describes the system analysis and control design of an electrohydraulic servo-drive using a nonlinear composite feedback control approach based on singular perturbation theory (Kokotovic, Khalil & O’Reilly 1986). A comparison with linear output feedback (P-control) and linear state feedback (LQRdesign) shows the bene¿ts of the proposed method. The nonlinear control design features fe...

This paper presents a study of linear control systems based on exact feedback linearization and approximate feedback linearization. As exact feedback linearization is applied, a linear controller can perform the control objectives. The approximate feedback linearization is required when a nonlinear system presents a noninvolutive property. It uses a Taylor series expansion in order to compute a...

This research deals to introduce a new method for generalizing the well-famed Quantitative Feedback Theory (QFT) in granting robustness of Feedback linearization on nonlinear systems. In this new scheme, first applying feedback linearization, with selecting operating points in domain of system parameter's variations, nonlinear systems replaced with linear systems, then robust controller is desi...

Abstract: We propose the stabilization of nonlinear systems with singularities via switching piecewise bilinear (PB) control. The approximated model is fully parametric. Input-output (I/O) feedback linearization is applied to stabilize PB control systems. We construct piecewise Lyapunov-like function for each piecewise region and stabilize the state space using a hybrid control method. Examples...

Abstract. This paper presents a feedback linearization-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control objective is novel ...

In this paper, adaptive tracking control is considered for a class of general nonlinear systems using multilayer neural networks (MNNs). Firstly, the existence of an ideal implicit feedback linearization control (IFLC) is established based on implicit function theory. Then, MNNs are introduced to reconstruct this ideal IFLC to approximately realize feedback linearization. The proposed adaptive ...