Details

Autor(en) / Beteiligte

• Yanling Wei
• Jianbin Qiu
• Peng Shi
• Chadli, Mohammed

Titel

Fixed-Order Piecewise-Affine Output Feedback Controller for Fuzzy-Affine-Model-Based Nonlinear Systems With Time-Varying Delay

Ist Teil von

• IEEE transactions on circuits and systems. I, Regular papers, 2017-04, Vol.64 (4), p.945-958

Ort / Verlag

New York: IEEE

Erscheinungsjahr

2017

Quelle

IEEE Electronic Library (IEL)

Beschreibungen/Notizen

• This paper studies the problem of delay-dependent fixed-order memory piecewise-affine H ∞ output feedback control for a class of nonlinear systems with time-varying delay via a descriptor system approach. The nonlinear plant is expressed by a continuous-time Takagi-Sugeno (T-S) fuzzy-affine model. Specifically, by utilizing a descriptor model transformation, the original closed-loop system is firstly reformulated into a descriptor system. Based on a new type of Lyapunov-Krasovskii functional (LKF), combined with a Wirtinger-based integral inequality, reciprocally convex inequality and S-procedure, a novel H ∞ performance analysis criterion is then derived for the underlying closed-loop system. Furthermore, by explicitly taking advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the piecewise-affine output feedback controller synthesis is carried out. It is shown that the desired fixed-order memory piecewise-affine controllers with different structures can be established in a unified framework. Finally, simulation studies are presented to show the effectiveness and less conservatism of the proposed approaches.