H∞ output tracking fuzzy control for nonlinear systems with time-varying delay

Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model

“…Using then the Schur complement, we complete the proof and we get an optimization problem involving LMI, as illustrated in (27).…”

“…In particular, the design of the robust fuzzy control of the T-S fuzzy model has received considerable interest in the literature [3,[22][23][24]. Based on the PDC approach, some researchers treated the stability analysis, stabilization, and tracking control problems of this class of systems [25][26][27].…”

Output tracking H∞ fuzzy control of nonlinear time-delay systems via Fuzzy Performance Evaluator

“…We will use this additional information to provide less conservative results. For this goal, LKFs (14) can be written as, V (e(t)) = V (e(t)) + …”

“…That is, H∞ performance index is small, which shows the effectiveness of our results. Moreover, in the recent study [14], authors have studied the H∞ performance index of CSTR model but not for time varying delay as the condition does not depend on any parameter related to time varying delays. It must be noted that our result is more generalized and less conservative than [14] which can only be used for tracking models with constant delays.…”

Optimal output feedback H∞‐tracking control design for Takagi and Sugeno fuzzy systems with immeasurable premise variables

“…Not only the stabilisation, but also the performance of the closed-loop system has been considered in the design of a PDC for a T-S fuzzy model of an initial non-linear system. One of the most important problems is to address fuzzy H ∞ -tracking control for T-S fuzzy systems, see, for example [5][6][7][8][9][10][11][12][13] for different approaches to solve this problem. In [5][6][7][8] and [13], the authors offer a doublestep numerical procedure to find the controllers and the observers gains in the PDC control laws.…”