Stabilization of nonlinear systems with varying parameter by a control Lyapunov function
نویسندگان
چکیده
منابع مشابه
Stabilization of 2-D Linear Parameter-Varying Systems Using Parameter-Dependent Lyapunov Function: An LMI Approach
Abstract: This paper proposes a parameter-dependent state-feedback controller for the 2-D discrete linear parameter-varying (LPV) system with the Fornasini-Machesini (FM) first model. To find the stabilizing conditions of the system, we first transform the closed-loop system to a Roesser-type model, and then derive the conditions to linear matrix inequalities (LMIs) using a parameter-dependent ...
متن کاملConstruction of strict Lyapunov function for nonlinear parameterised perturbed systems
In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.
متن کاملModel Predictive Control of Nonlinear Parameter Varying Systems via Receding Horizon Control Lyapunov Functions
The problem of rendering the origin an asymptotically stable equilibrium point of a nonlinear system while, at the same time, optimizing some measure of performance has been the object of much attention in the past few years. In contrast to the case of linear systems where several optimal synthesis techniques (such as ∞, 2 and 1) are well established, their nonlinear counterparts are just start...
متن کاملLqg Control of Lpv Systems with Parameter-dependent Lyapunov Function
A LQG control design technique for LPV systems using single Lyapunov function is improved by searching for a parameter-dependent Lyapunov function in order to enhance the LQG performance of the control. Such a design technique has not been developed in the LQG framework so far (in the authors knowledge), albeit its adaptability to performance degradation on the parameter region enlarges the cla...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kybernetika
سال: 2017
ISSN: 0023-5954,1805-949X
DOI: 10.14736/kyb-2017-5-0853