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[PDF] Top 20 Stability and control of differential linear repetitive processes using an LMI setting

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Stability and control of differential linear repetitive processes using an LMI setting

Stability and control of differential linear repetitive processes using an LMI setting

... of repetitive processes, it is physically meaningful to de- fine the current pass output error as the difference, at each point along the pass, between a specified reference trajectory for that pass, which ... See full document

5

H/sub /spl infin// control of differential linear repetitive processes

H/sub /spl infin// control of differential linear repetitive processes

... The stability theory [10] for linear repetitive processes con- sists of two distinct concepts but here it is the stronger of these which is ...termed stability along the pass and (re- ... See full document

6

Guaranteed Cost Control of Uncertain Differential Linear Repetitive Processes

Guaranteed Cost Control of Uncertain Differential Linear Repetitive Processes

... The stability theory [7] for linear repetitive processes consists of two distinct concepts, but here it is the stronger of these which is ...termed stability along the pass and several ... See full document

6

Output Feedback Control of Discrete Linear Repetitive Processes

Output Feedback Control of Discrete Linear Repetitive Processes

... a control law which uses the current pass state vector will, in general, require an observer to estimate the elements in this vector which are not directly measur- ...the LMI setting to design ... See full document

7

Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous Discrete Linear Systems

Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous Discrete Linear Systems

... to control these processes in the case of linear single-input single-output (SISO) dynamics focused on first ‘converting’ them into an equivalent standard, termed 1D here, process to enable the ... See full document

20

A Behavioral Approach to the Control of Discrete Linear Repetitive Processes

A Behavioral Approach to the Control of Discrete Linear Repetitive Processes

... of linear discrete time repetitive processes in the setting of behavioral systems ...for repetitive processes is developed and for the physically de1ned inputs and outputs as ... See full document

10

Positive real control of two dimensional systems: Roesser models and linear repetitive processes

Positive real control of two dimensional systems: Roesser models and linear repetitive processes

... real control for 2-D discrete linear systems described by the Roesser ...an LMI approach has been developed to construct a dynamic output feed- back controller, which guarantees not only the asymp- ... See full document

12

Control and Disturbance Rejection for Discrete Linear Repetitive Processes

Control and Disturbance Rejection for Discrete Linear Repetitive Processes

... 2D linear systems, such as those with discrete dynamics described by the well known and extensively studied Roesser [12] and Fornasini Marchesini [6] state space ...of repetitive processes include ... See full document

14

H∞ and guaranteed cost control of discrete linear repetitive processes

H∞ and guaranteed cost control of discrete linear repetitive processes

... of repetitive processes (which is not always present in other classes of 2D systems) is that it is possible to define physically meaningful control laws for ...of control laws is com- posed of ... See full document

39

Stability Tests for a Class of 2D Continuous Discrete Linear Systems with Dynamic Boundary Conditions

Stability Tests for a Class of 2D Continuous Discrete Linear Systems with Dynamic Boundary Conditions

... to stability analysis and controller design would, except in a few very restrictive special cases, lead to incorrect conclusions (Owens ...ous stability theory has been developed (Rogers and Owens 1992, ... See full document

9

Decoupling and iterative approaches to the control of discrete linear repetitive processes

Decoupling and iterative approaches to the control of discrete linear repetitive processes

... of repetitive processes include long-wall coal cutting and metal rolling operations (Edwards, ...a repetitive process setting for analysis has distinct advantages over ...learning ... See full document

24

LMI based stability analysis and robust controller design for discrete linear repetitive processes

LMI based stability analysis and robust controller design for discrete linear repetitive processes

... to control these processes using standard (or 1D) systems theory/algorithms fail (except in a few very restrictive special cases) precisely because such an approach ignores their inherent 2D systems ... See full document

17

Poles and zeros – examples of the behavioral approach applied to discrete linear repetitive processes

Poles and zeros – examples of the behavioral approach applied to discrete linear repetitive processes

... a repetitive process setting for analysis has distinct advantages over ...learning control (ILC) schemes (Owens, Amann, Rogers, & French, 2000) and iterative algorithms for solving ... See full document

12

Stabilization of discrete linear repetitive processes with switched dynamics

Stabilization of discrete linear repetitive processes with switched dynamics

... in control from the “Institut Na- tional des Sciences Appliquées” (INSA, National Institute for Applied Sciences), Toulouse, France, in September ...uncertain linear systems, robust D-stability, ... See full document

25

Nonlinear Autonomous Altitude Control of a Miniature Helicopter UAV Based on Sliding Mode Methodology

Nonlinear Autonomous Altitude Control of a Miniature Helicopter UAV Based on Sliding Mode Methodology

... asymptotic stability as well. The controller was implemented using the constant rate reaching control which successfully stabilized our control problem and provided with very good hovering ... See full document

6

Improved LMI based stability conditions for a competitive Lotka–Volterra system with time varying delays

Improved LMI based stability conditions for a competitive Lotka–Volterra system with time varying delays

... if LMI (11) is ...By using such interconnected terms, the relationships between four time delays can be specifically reflected in the L-K functional ... See full document

15

On the stability of linear differential equations of second order

On the stability of linear differential equations of second order

... Hyers-Ulam stability of the linear differential equation ...Hyers-Ulam stability and the proof methods are different from those of [21] and ...Hyers-Ulam stability of the ... See full document

6

LMI based robust exponential stability criterion of impulsive integro differential equations with uncertain parameters via contraction mapping theory

LMI based robust exponential stability criterion of impulsive integro differential equations with uncertain parameters via contraction mapping theory

... the LMI-based robust stability criteria of BAM neural networks with uncertain parameters by using the Banach fixed point ...robust stability solution of the BAM neural ... See full document

16

Stability Criterion for Discrete Time Systems

Stability Criterion for Discrete Time Systems

... Gao et al. 8, and Jiang et al. 9, where some LMI-based stability criteria have been presented by constructing appropriate Lyapunov functionals and introducing free-weighting matrices. It should be pointed ... See full document

6

An Equivalent LMI Representation of Bounded Real Lemma for Continuous Time Systems

An Equivalent LMI Representation of Bounded Real Lemma for Continuous Time Systems

... robust stability and to compute guar- anteed performance indices. In 4, 5, LMI sufficient conditions for robust stability and H∞ guaranteed cost of linear parameter-dependent systems are based ... See full document

8

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