Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization

Finite-time Output Feedback Control of Discrete-time Systems

In this paper we deal with some finite-time control problems for discretetime, time-varying linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov inequality. Then we address the design problem. The proposed condit...

Global Finite-Time Stabilization: From State Feedback to Output Feedback

This paper addresses the problem of global nite-time design via dynamic output feedback. The results are obtained in the form of the so-called \separation principle", i.e., the design methods for the nite-time output feedback laws are based on nite-time state feedback laws and nite-time observers, which can be designed separately. Conditions are given to assure that the constructed output feedb...

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

Optimal 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...

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...