โ Scribed by Francesco Amato; Marco Ariola; Carlo Cosentino
No coin nor oath required. For personal study only.
In this paper we deal with some finite-time control problems for discrete-time, 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 conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite-time sense; all these conditions can be expressed in terms of LMIs and therefore are numerically tractable, as shown in the example included in the paper.
๐ SIMILAR VOLUMES
A new approach to robust control analysis and design for uncertain discrete-time singular systems is proposed. Under the allowable structured perturbations, the stability robustness, regularity preservation, and impulse elimination are simultaneously guaranteed by the proposed method.
This paper deals with some finite-time control problems for uncertain discrete-time linear systems subject to exogenous disturbance. Sufficient conditions are presented for finite-time stabilization via state feedback. These conditions can be reduced to feasibility problems involving linear matrix i