@article{dong_wu_2008, title={Almost output regulation for parameter-dependent linear fractional transformation systems}, volume={2}, ISSN={["1751-8652"]}, DOI={10.1049/iet-cta:20070087}, abstractNote={An important problem of output regulation for linear fractional transformation (LFT) systems is considered. This problem is mainly concerned about tracking and/or rejection of persistent signals produced by some external generator. Necessary and sufficient solvability condition for LFT systems as two linear matrix equations, which is an extension of the existing output regulation results for the linear time invariant and nonlinear systems will be presented. On the basis of the analysis condition, the LFT almost output regulation problem of approximately tracking/rejecting persistent signals will be studied by minimising the ℒ2 gain from perturbation of the signal to error output. Its synthesis condition will be formulated as two matrix equations plus a set of linear matrix inequalities. An example will be used to demonstrate the proposed approach.}, number={3}, journal={IET CONTROL THEORY AND APPLICATIONS}, author={Dong, K. and Wu, F.}, year={2008}, month={Mar}, pages={200–209} }
@article{dong_wu_2007, title={Robust and gain-scheduling control of LFT systems through duality and conjugate Lyapunov functions}, volume={80}, ISSN={["1366-5820"]}, DOI={10.1080/00207170601080213}, abstractNote={In this paper, we study stability and performance properties of linear fractional transformation (LFT) parameter-dependent systems using duality theory and tools from convex analysis. A pair of conjugate functions, the convex hull and the maximum of a family of quadratic functions, are used for analysis and synthesis of LFT systems. Sufficient synthesis conditions for both robust state feedback and gain-scheduling output feedback control problems are formulated as a set of linear matrix inequalities (LMIs) with linear search over scalar variables. Finally, a numerical example is used to demonstrate the advantages of the proposed approaches.}, number={4}, journal={INTERNATIONAL JOURNAL OF CONTROL}, author={Dong, K. and Wu, F.}, year={2007}, month={Apr}, pages={555–568} }
@article{wu_dong_2006, title={Gain-scheduling control of LFT systems using parameter-dependent Lyapunov functions}, volume={42}, ISSN={["1873-2836"]}, DOI={10.1016/j.automatica.2005.08.020}, abstractNote={In this paper, we propose a new control design approach for linear fractional transformation (LFT) systems using parameter-dependent Lyapunov functions. Instead of assuming parameter dependency in LFT fashion, we consider general parameter-dependent controllers to achieve better closed-loop performance. Using full-block multipliers, new LPV synthesis conditions have been derived in terms of finite number of linear matrix inequalities (LMIs). Both continuous- and discrete-time cases are discussed. A ship steering example has been used to demonstrate advantages and benefits of the proposed approach.}, number={1}, journal={AUTOMATICA}, author={Wu, F and Dong, K}, year={2006}, month={Jan}, pages={39–50} }