Output Feedback Stabilization of Linear Time-Varying Uncertain Delay Systems

Finite 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...

Global Finite-Time Output Feedback Stabilization of Uncertain High-Order Time-Varying Nonlinear Systems

Abstract: This paper investigates the problem of global finite-time stabilization by output feedback for a class of high-order time-varying nonlinear systems with uncertainties. By introducing sign function and necessarily modifying the homogeneous domination approach, a continuous output feedback controller is successfully constructed to guarantee the global uniform finite-time stability of th...

Robust ∞ H Control of Switched Uncertain Time-varying Delay Discrete-time Systems via Dynamic Output Feedback

Robust H output feedback control problem for a class of switched linear discrete-time systems possessing normbounded uncertainty and time-varying delay is investigated. A switched dynamic output feedback controller is sought that can robust exponentially stabilize and reduce to a prescribed level the effect of disturbance input on the controlled output in the closed loop. A delay depen dent lin...

Robust output feedback stabilization for discrete-time systems with time-varying input delay

Robust Stabilization by Linear Output Delay Feedback

The main result establishes that if a controller C (comprising of a linear feedback of the output and its derivatives) globally stabilizes a (nonlinear) plant P , then global stabilization of P can also be achieved by an output feedback controller C[h] where the output derivatives in C are replaced by an Euler approximation with sufficiently small delay h > 0. This is proved within the conceptu...