Stability and control synthesis for discrete-time linear systems subject to actuator saturation by output feedback

This paper presents sufficient conditions of asymptotic stability for discrete-time linear systems subject to actuator saturations with an output feedback law. The derived stability results are given in terms of LMIs. A new proof is presented to obtain previous conditions of asymptotic stability. A numerical example is used to illustrate this technique by using a linear optimization problem subject to LMI constraints

On Stability And Performance Analysis Of Discrete-time Uncertain Systems Via Polynomially Parameter-Dependent Lyapunov Functions

This paper presents a new linear matrix inequality based stability result for uncertain discretetime linear system. which using Homogeneous Polynomially Parameter-Dependent Lyapunov Functions and a larger number of slack variables. This technique has two advantages: (1) possible to yield less conservative results, which is shown via a numerical examples; and (2) flexible to cope with more complicated problems, which is illustrated by presenting a new H∞ performance condition. It is anticipated that the idea behind this paper can be further extended to deal with synthesis problems

Mixed H2/H1 Filtering for Ploytopic Discrete-time Systems with Homogeneous Polynomials

This paper investigates the robust mixed H2/H1 filtering problem for linear time-invariant (LTI) discrete systems with polytopic uncertainty. The structured polynomially parameter-dependent method is used, which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree, respectively. A numerical example illustrates the feasibility and advantage of the proposed methods

LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results

Parameter-Dependent RobustH∞ Filtering for Uncertain Discrete-Time Systems: A Polynomial Approach

This paper proposes a method for robust H∞ filtering for discrete systems with polytopic uncertainties. The parameter uncertainties considered in this paper are assumed to be of polytopic type. A new structured polynomially parameterdependent method is utilized, which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree, respectively. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities. A numerical example illustrates the feasibility and advantage of the proposed filter design methods

Improved stability and H ∞ performance criteria for linear systems with interval time-varying delays via three terms approximation

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Stabilization of Neutral Systems with Saturating Actuators

A method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives (i.e., neutral systems), in the presence of saturating actuators. Delay-dependent conditions are given to determine stabilizing state-feedback controllers with large domain of attraction, expressed as linear matrix inequalities, readily implementable using available numerical tools and with tuning parameters that make possible to select the most adequate solution. These conditions are derived by using a Lyapunov-Krasovskii functional on the vertices of the polytopic description of the actuator saturations. Numerical examples demonstrate the effectiveness of the proposed technique

Homogenous polynomial H ∞ filtering for uncertain discrete-time systems: A descriptor approach

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Die orientalische Stadt : Spezifische Besonderheiten der Städte Nordafrikas und Vorderasiens aus der Sicht der Geographie

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