Reduced-order dynamic output feedback control of continuous-time T–S fuzzy systems

Non-fragile reduced-order dynamic output feedbackH∞control for switched systems with average dwell-time switching

“…And, in this situation, reduced-order DOF is probably the best resort in spite of its non-convexity in essence. During the last two decades, reduced-order DOF control has been considered for a variety of systems, such as linear time-invariant systems (Agulhari et al, 2012;Haddad & Chellaboina, 1998), discrete-time time-delay systems (Gao et al, 2004), and T-S fuzzy systems (Tognetti, Oliveira, & Peres, 2012), whereas to our knowledge, results on reduced-order DOF control design for switched systems with average dwell time switching have not yet been reported, not to mention the case that gain perturbations are also involved.…”

Dynamic output control of nonlinear systems described by Takagi-Sugeno models

“…The design conditions reflect convexifying assumptions formulated with respect to fuzzy interactions among the subsystems of TS fuzzy model. Of course, more sophisticated principles, based on fuzzy Lyapunov functions instead of the common quadratic one (see e.g., [9], [18], [24]) can be applied to extend the proposed method.…”

H∞ control of continuous-time interval type-2 T–S fuzzy systems via dynamic output feedback controllers

“…Dynamic output feedback control is an approach to address the problem of output feedback stabilization. Currently, several reports about dynamic output feedback control for type-1 T-S fuzzy systems were presented in [27][28][29][30][31][32][33]. In [27], a general framework for designing dynamic feedback controllers for type-1 T-S fuzzy systems was presented, and the associated stabilization conditions were represented as LMI problems.…”

“…A full-order dynamic output feedback H ∞ control design approach was proposed by combining a fuzzy Lyapunov function and a transformation on the controller parameters in [29]. A reduced-order dynamic output feedback H ∞ controller was proposed by a line-integral fuzzy Lyapunov function in [30]. Dynamic output feedback H ∞ control synthesis for type-1 T-S fuzzy systems via a switched fuzzy control scheme was presented in [31] and [32].…”

“…A robust dynamic output feedback controller for type-1 T-S fuzzy systems was designed by a fuzzy Lyapunov function and a descriptor redundancy approach in [33]. However, it can be seen that the controllers designed in [27][28][29][30][31][32][33] would depend on the membership functions of T-S fuzzy systems. Hence, the results in [27][28][29][30][31][32][33] cannot be applied to T-S fuzzy systems with uncertain membership functions.…”