Further Results on Global State Feedback Stabilization of Nonlinear Systems with Low-order and High-order Nonlinearities
نویسندگان
چکیده
This paper discusses the state feedback control problem for a class of non-linear systems with low-order and high-order nonlinearities, and multiple time-varyingdelays. The introduction of sign function together with the method of adding a power in-tegrator and Lyapunov-Krasovskii theorem makes the closed-loop system globally asymp-totically stable.
منابع مشابه
Adaptive fuzzy pole placement for stabilization of non-linear systems
A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...
متن کاملGlobal Finite-Time Stabilization of Stochastic Nonlinear Systems with Low-Order Nonlinearities
Abstract: This paper investigates the problem of global finite-time stabilization by state feedback for a class of stochastic nonlinear systems with low-order nonlinearities, to which the existing control methods are inapplicable. By skillfully adopting the method of adding a power integrator and constructing twice continuous differential Lyapunov functions, a stepwise constructive continuous s...
متن کاملFeedback stabilization for high order feedforward nonlinear time-delay systems
This paper investigates the problem of global strong stabilization by state feedback, for a family of high order feedforward nonlinear time-delay systems. The uncertain nonlinearities are assumed to satisfy a polynomial growth assumption with an input or delayed input dependent rate. With the help of the appropriate Lyapunov-Krasovskii functionals, and a rescaling transformation with a gain to ...
متن کاملGlobal Stabilization of Attitude Dynamics: SDRE-based Control Laws
The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order greater than two such as the attitude dynamics of a general rigid body have been extended in literature; however, it is still difficult to show global stability properties of...
متن کاملThe Response of Two-Degree of Freedom Self-Sustained Systems with Quadratic Nonlinearities to a Parametric Excitation (RESEARCH NOTE)
In this study the interaction between self-excited and paramet rically excited oscillations in two-degree-of-freedom systems with quadratic nonlinearities is investigated. The fundamental parametric resonance of the first mode and 3:1 internal resonance is considered, followed by 1:2 internal and parametric resonances of the second mode. The method of multiple time scales is applied to derive f...
متن کامل