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ROBUST H_∞ FILTERING FOR UNCERTAIN DISCRETE-TIME STATE-DELAYED SYSTEMS: A PARAMETER-DEPENDENT LYAPUNOV APPROACH

Journal of Systems Science & Complexity 2004年第3期17卷 399-411页

作者： gaohuijun wangchanghong SpaceControlandInertialTechnologyResearchCenter HarbinInstituteofTechnologyHarbin150001China

This paper is concerned with the problem of robust H∞ filtering for linear discrete-time systems with multiple state delays and polytopic uncertain parameters. Attention is focused on the design of full-order, reduced-order and zeroth-order robust H∞ filters on the basis of a recently published parameter-dependent Lyapunov stability result. Sufficient conditions for the existence of such filters are formulated in terms of linear matrix inequalities, upon which admissible filters can be obtained from convex optimization problems. The proposed methodology has been shown, via a numerical example, to be much less conservative than previous filter design methods in the quadratic framework.

关键词： robust H_∞ filtering linear matrix inequality polytopic uncertainty parameter-dependent stability time-delay systems

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维普期刊数据库

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Novel l_2-l_∞ controller design for LPV discrete time-delay systems

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Journal of Systems Engineering and Electronics 2005年第1期16卷 128-133页

作者： WangJunling wangchanghong LiYanhui gaohuijun SpaceControlandInertialTechnologyResearchCentre HarbinInstituteofTechnologyHarbin150001P.R.China

One of the first attempts to derive energy-to-peak performance criteria and state-feedback controller design problem for linear parameter-varying discrete time systems with time delay is provided. Firstly, we present a parameter-dependent l 2-l ∞ performance criterion using a parameter-dependent Lyapunov function. Upon the conditions addressed, an improved parameter-dependent l 2-l ∞ performance criterion is established by the introduction of a slack variable, which exhibits a kind of decoupling between Lyapunov functions and system matrices. This kind of decoupling enables us to obtain more easily tractable conditions for analysis and synthesis problems. Then, the corresponding parameter-dependent state-feedback controller design is investigated upon these performance criteria, with sufficient conditions obtained for the existence of admissible controllers in terms of parameterized linear matrix inequalities. Finally, a numerical example is provided to illustrate the feasibility and advantage of the proposed controller design procedure.

关键词： linear parameter-varying discrete-time system parameterized linear matrix inequality time delay l 2-l ∞ control.

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维普期刊数据库

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Robust L_1 filtering with pole constraint in a disk via parameter-dependent Lyapunov functions

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Journal of Systems Engineering and Electronics 2005年第1期16卷 102-109页

作者： LiYanhui WenQiyong WangJunling wangchanghong gaohuijun DepartmentofControlScienceandEngineering HarbinInstituteofTechnologyHarbin150001P.R.China//ElectricalandInformationEngineeringCollegeDaqingPetroleumInstituteDaqing163318P.R.China DepartmentofControlScienceandEngineering HarbinInstituteofTechnologyHarbin150001P.R.China

The problem of robust L 1 filtering with pole constraint in a disk for linear continuous polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the filtering error system remains robustly stable, and has a L 1 performance constraint and pole constraint in a disk. The new robust L 1 performance criteria and regional pole placement condition are obtained via parameter-dependent Lyapunov functions method. Upon the proposed multiobjective performance criteria and by means of LMI technique, both full-order and reduced-order robust L 1 filter with suitable dynamic behavior can be obtained from the solution of convex optimization problems. Compared with earlier result in the quadratic framework, this approach turns out to be less conservative. The efficiency of the proposed technique is demonstrated by a numerical example.

关键词： robust filtering parameter-dependent Lyapunov function linear matrix inequality L 1 performance pole placement technique.

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维普期刊数据库

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