Journal ArticleDOI
Finite-time control of discrete-time linear systems
Francesco Amato,Marco Ariola +1 more
TLDR
This note considers the finite-time stabilization of discrete-time linear systems subject to disturbances generated by an exosystem and finds some sufficient conditions for the existence of an output feedback controller guaranteeing finite- time stability.Abstract:
In this note, we consider the finite-time stabilization of discrete-time linear systems subject to disturbances generated by an exosystem. Finite-time stability can be used in all those applications where large values of the state should not be attained, for instance in the presence of saturations. The main result provided in the note is a sufficient condition for finite-time stabilization via state feedback. This result is then used to find some sufficient conditions for the existence of an output feedback controller guaranteeing finite-time stability. All the conditions are then reduced to feasibility problems involving linear matrix inequalities (LMIs). Some numerical examples are presented to illustrate the proposed methodology.read more
Citations
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Journal ArticleDOI
Finite‐time H ∞ control for discrete‐time switched nonlinear systems with time delay
TL;DR: In this article, the problem of finite-time H'∞' ∞' control is addressed for a class of discrete-time switched nonlinear systems with time delay.
Journal ArticleDOI
Brief paper: Finite-time control of discrete-time linear systems: Analysis and design conditions
TL;DR: The proposed conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite-time sense and are numerically tractable, as shown in the example included in the paper.
Journal ArticleDOI
Technical communique: Finite-time stability theorem of stochastic nonlinear systems
Weisheng Chen,Licheng Jiao +1 more
TL;DR: A theorem and a corollary are given to verify the finite-time attractiveness of stochastic systems based on Lyapunov functions.
Journal ArticleDOI
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
TL;DR: Theoretical analysis proves that under the presented control strategy, the closed-loop system is practically fixed-time stable, and the tracking error converges to a small neighborhood of the origin within a fixed- time interval, in which the convergence time has no connection with the initial states of the system.
Journal ArticleDOI
Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance
Xiangze Lin,Haibo Du,Shihua Li +2 more
TL;DR: Finite-time boundedness and finite-time weighted L 2 -gain for a class of switched delay systems with time-varying exogenous disturbances are studied and sufficient conditions which guarantee the switched linear system withTime-delay is finite-Time bounded and has finite- time weighted L 1 -gain are given.
References
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Linear system theory
TL;DR: In this paper, the main thrusts of the work are the analysis of system descriptions and derivations of their properties, LQ-optimal control, state feedback and state estimation, and MIMO unity-feedback systems.
Journal ArticleDOI
Technical Communique: Finite-time control of linear systems subject to parametric uncertainties and disturbances
TL;DR: Finite-time control problems for linear systems subject to time-varying parametric uncertainties and to exogenous constant disturbances are considered and a sufficient condition for robust finite-time stabilization via state feedback is provided.
Short-time stability in linear time-varying systems
TL;DR: In this article, a necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response, and sufficient conditions for short time stability in feedback systems, including open loop impulse response are also included.
Journal ArticleDOI
Finite time stability under perturbing forces and on product spaces
Leonard Weiss,E. F. Infante +1 more
TL;DR: In this article, a qualitative theory of stability for non-autonomous systems operating over finite time intervals has been developed, and sufficient conditions are given for various types of finite time stability of a system under the influence of perturbing forces which enter the system equations linearly.
Journal ArticleDOI
Explicit controller formulas for LMI-based H ∞ synthesis
TL;DR: In this article, the problem of reliable computation of H"~ controllers given a solution (R, S) of the characteristic system of linear matrix inequalities (LMI) is addressed.