Robust L∞-induced deconvolution filtering for linear stochastic systems and its application to fault reconstruction

The robust H∞ control problem for discrete-time uncertain systems is investigated in this paper. The uncertain systems are modelled as a polytopic type with linear fractional uncertainty in the vertices. A new linear matrix inequality (LMI) characterization of the H∞ performance for discrete systems is given by introducing a matrix slack variable which decouples the matrix of a Lyapunov function candidate and the parametric matrices of the system. This feature enables one to derive sufficient conditions for discrete uncertain systems by using parameter-dependent Lyapunov functions with less conservativeness. Based on the result, H∞ performance analysis and controller design are carried out. A numerical example is included to demonstrate the effectiveness of the proposed results.

Robust H∞ control for discrete-time polytopic uncertain systems with linear fractional vertices

The problems of robust l2-l∞ and H∞ filtering for discrete-time systems with parameter uncer- tainty residing in a polytope are investigated in this paper The filtering strategies are based on new ro- bust performance criteria derived from a new result of parameter-dependent Lyapunov stability condition, which exhibit less conservativeness than previous results in the quadratic framework The designed filters guaranteeing a prescribed l2-l∞ or H∞ noise attenuation level can be obtained from the solution of convex optimization problems, which can be solved via efficient interior point methods Numerical examples have shown that the filter design procedures proposed in this paper are much less conservative than earlier results

New approaches to robust l2-l∞ and H∞ filtering for uncertain discrete-time systems

Improved LMI Representation for Bounded Real Criterion of Systems with Polytope-Type Uncertainty

The design of the gain-scheduled H
 2/H
 ∞ filter for polytopic discrete-time systems is investigated. By introducing additional slack variables, a new mixed H
 2/H
 ∞ performance criterion is proposed, which provides a decoupling between the Lyapunov matrix and system matrices. Based on the new performance criterion, a sufficient condition for the existence of the gain-scheduled H
 2/H
 ∞ filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality (LMI) constraints. Simulation results show the effectiveness of the proposed approach.

Gain-scheduled H 2 / H ∞ filtering for linear discrete-time systems with polytopic uncertainties

Based on two recent results, a new LMI representation for L2 -Linfin performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs

Robust Energy-to-Peak Estimation for Uncertain Continuous-Time Linear Systems

A strategy for robust mixed H2/Hinfin filtering problem, applied to a class of linear continuous-time systems containing linear fractional uncertainties is presented. By introducing some slack variables to the evaluation of robust H2and Hinfin performances, a less-conservative linear matrix inequality (LMI) based sufficient condition is obtained as compared to the existing characterizations. Also, a less-conservative design is achieved when applying the improved matrix inequality conditions to the robust filter design

Improved Robust Mixed H 2 /H &#8734; Filtering for Uncertain Continuous-Time Systems

New LMI criteria for L/sub 2/ - L/sub /spl infin// and H/sub /spl infin// performances of continuous-time uncertain systems are proposed, which keep the Lyapunov matrices out of any product with the system matrices. When used in robust mixed L/sub 2/ - L/sub /spl infin// and filtering, the design conservatism is reduced since the restriction is removed that both L/sub 2/ - L/sub /spl infin// and H/sub /spl infin// performances are enforced by a single closed-loop Lyapunov matrix.

Enhanced mixed L/sub 2/ - L/sub /spl infin///H/sub /spl infin// filtering for continuous-time uncertain systems

A strategy for robust L1 filtering with pole constraint in a disk for continuous-time polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the resulting filtering error system remains robust stable, and has a L1 performance constraint and pole constraint in a disk. By introducing some slack matrix variables, less-conservative linear matrix inequality (LMI) based conditions for new robust L1 performance criteria and regional pole placement are obtained as compared to existing characterizations. A L1 robust filter is obtained when applying the improved matrix inequality conditions by LMI technique

Robust L1 Filtering with Pole Constraint in a Disk via Parameter-dependent Lyapunov Functions

A strategy for robust mixed 2 / H H f filtering problem, applied to a class of linear continuous-time systems containing linear fractional uncertainties is presented. By introducing some slack variables to the evaluation of robust 2 H and Hf performances, a less-conservative linear matrix inequality (LMI) based sufficient condition is obtained as compared to the existing characterizations. Also, a less- conservative design is achieved when applying the improved matrix inequality conditions to the robust filter design. HH f filtering. Linear fractional uncertainty. Linear matrix inequalities.

Improved Robust Mixed 2 H / H f Filtering for Uncertain Continuous-Time Systems *

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Papers

Robust Energy-to-Peak Estimation for Uncertain Continuous-Time Linear Systems

Improved Robust Mixed H 2 /H ∞ Filtering for Uncertain Continuous-Time Systems

Enhanced mixed L/sub 2/ - L/sub /spl infin///H/sub /spl infin// filtering for continuous-time uncertain systems

Robust L1 Filtering with Pole Constraint in a Disk via Parameter-dependent Lyapunov Functions

Improved Robust Mixed 2 H / H f Filtering for Uncertain Continuous-Time Systems *

Aiguo Wu

Author Tools

Chat about Author

Papers

Robust Energy-to-Peak Estimation for Uncertain Continuous-Time Linear Systems

Improved Robust Mixed H 2 /H &#8734; Filtering for Uncertain Continuous-Time Systems

Enhanced mixed L/sub 2/ - L/sub /spl infin///H/sub /spl infin// filtering for continuous-time uncertain systems

Robust L1 Filtering with Pole Constraint in a Disk via Parameter-dependent Lyapunov Functions

Improved Robust Mixed 2 H / H f Filtering for Uncertain Continuous-Time Systems *

Improved Robust Mixed H 2 /H ∞ Filtering for Uncertain Continuous-Time Systems