Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
نویسندگان
چکیده
This paper extends the well-known concept, input-to-state stability (ISS), to finitetime control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), along with related concepts such as finite-time input-output stability and finite-time small-gain theorems, is discussed, and then is applied to both the finite-time stability analysis and the finite-time stabilizing feedback design. With finite-time convergence, non-smoothness has to be considered, which poses serious technical challenges in the analysis and synthesis of closed-loop finite-time systems. It is found that FTISS plays a key role in the study of finite-time stability and stabilization of nonlinear systems.
منابع مشابه
Second Order Sliding Mode Control With Finite Time Convergence
In this paper, a new smooth second order sliding mode control is proposed. This algorithm is a modified form of Super Twisting algorithm. The Super Twisting guarantees the asymptotic stability, but the finite time stability of proposed method is proved with introducing a new particular Lyapunov function. The Proposed algorithm which is able to control nonlinear systems with matched structured u...
متن کاملDesign of a Novel Framework to Control Nonlinear Affine Systems Based on Fast Terminal Sliding-Mode Controller
In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...
متن کاملGlobal Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control
In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...
متن کاملOptimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملDesigning Robust Finite-Time Nonlinear Torques for a n-DOF Robot Manipulator with Uncertainties, Sector and Dead-Zone Input Nonlinearities
In this paper, a complete dynamical model is presented for an uncertain -DOF robot manipulator containing description of sector and dead-zone input nonlinearities. Next, robust finite-time tracking problem of desired trajectories is declared and formulated for the aforementioned robot manipulator. By defining innovative nonlinear sliding manifolds and developing the nonsingular terminal sliding...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 48 شماره
صفحات -
تاریخ انتشار 2010