Output Tracking Control for Fuzzy Systems via Static-Output Feedback Design

Relaxed nonquadratic H∞ robust constrained event-triggered fuzzy controller design for discrete-time nonlinear systems

“…The feasibility regions of the proposed method based on the obtained LMIs (8a)-( 8c), ( 23)-( 26) and the robust two-step control approaches (Echreshavi et al, 2022b;Nachidi and Hajjaji, 2012) for 30 ł a 1 ł 80 and À30 ł a 2 ł 0 are illustrated in Figure 2. The feasibility region of the suggested offline optimization problem is wider than the proposed methods in Echreshavi et al (2022b), Nachidi and Hajjaji (2012) which were based on the BMI problem and solved in an iterative scheme. Moreover, the closed-loop performance of the considered system is studied under the proposed controller and the robust two-step control approaches (Echreshavi et al, 2022b) with initial condition x 0 ð Þ = À5 1 ½ T and a 1 = 0:6, a 2 = 0:7.…”

“…Min-max MPC (Teng et al, 2018) Yes Yes Two-step control approach (Echreshavi et al, 2022b;Nachidi and Hajjaji, 2012) No No Event-triggered fuzzy scheme (Wang and Yang, 2019) No No The proposed method No Yes MPC: model predictive control.…”

“…Designing the controller was transformed into an optimization problem which was solved due to a two-stage linear matrix inequality (LMI). An H ∞ robust fuzzy control of the nonlinear dynamic models was designed in Nachidi and Hajjaji (2012) to reach the output tracking performance. The closed-loop stability was ensured by the Lyapunov theory subject to uncertainties and external disturbances.…”

H∞Static Output Tracking Control of Nonlinear Systems with One-Sided Lipschitz Condition

“…The objective of this paper is to design a static output feedback controller (11) such that the closed-loop system (12) is asymptotically stable with an ∞ -norm bound ; that is, the following conditions are achieved simultaneously. (ii) The closed-loop system (12) has a given ∞ disturbance rejection level.…”

“…Among them, the latter is paid much attention because of its attractive features such as low overheads of implementing control, the reliability of control systems, and widely practical applications where measurement of all the state variables is not possible. Furthermore, since the static output feedback case needs much lower costs than an observerbased approach, a few meaningful results about static output feedback tracking control have been presented [10][11][12].…”