Further Improvements on the Problem of Optimal Fuzzy \( {\mathbf{H}}_{\infty } \) Tracking Control Design for T–S Fuzzy Systems

[摘要] In this study, further developments on the problem of optimal fuzzy $$ {\mathbf{H}}_{\infty } $$ H ∞ tracking control design for T–S fuzzy systems are considered. The controller has a parallel distributed compensation structure. The presented local control law has a suitable structure for tracking purposes. It consists of six parameters to lead to a more flexible and less conservative tracking performance. The parameters of the control law are found through the solution of a set of linear matrix inequalities (LMIs). Unlike the observer-based approaches, no particular assumptions are made in obtaining the required LMIs. The optimal controller can be also obtained through the solution of a convex optimization problem. On a benchmark example, a complete comparison is made with some existing results.

[学科分类] 自动化工程

[关键词] T–S fuzzy systems;\( {\mathbf{H}}_{\infty } \) tracking control;Optimal control;PDC;LMI