This paper presents a general approach to design a partially stabilizing controller for nonlinear systems. In this approach, the nonlinear control system is divided into two subsystems, which are called the first and the second subsystems. This division is done based on the required stability properties of system’s states. Furthermore, it is shown that partial control makes the possibility of c...

this paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. the given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

in this paper, a nonlinear model of the underactuated six degrees of freedom (6 dof) quadrotor helicopter was derived based on the newton-euler formalism. a new nonlinear robust control strategy was proposed to solve the stabilizing and path following problems in presence of external disturbances and parametric uncertainties. the proposed control structure consist of a sliding mode control base...

{ Bifurcation analysis provides a methodology for the study of the changes of stability behavior of nonlinear and parameter dependent systems. The inception of bifurcations is associated with systems exhibiting critical modes. Consequently, stabilization of critical systems can be considered as control of the underlying bifurcations. Based on bifurcation equations and the center manifold theore...

In this paper we introduce a new method to design control laws for non-linear un-deractuated systems. Our method will often work in situations where standard control techniques fail. Even when standard techniques apply, we believe that our approach will achieve better performance. This is because we produce an infinite dimensional family of control laws, whereas most control techniques only pro...

Control systems are prevelant in nature and in man-made systems. Natural regulation occurs in biological and chemical processes, and may serve to maintain the various constituents at their appropriate levels, for example. In the early days of the industrial revolution, governors were devised to regulate the speed of steam engines, while in modern times, computerised control systems have become ...

Linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. The specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. The basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...