Finite-time H∞ control for a class of nonlinear system with time-varying delay

Asynchronous H∞ fuzzy control for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach

“…Combining (27) with (28) we conclude that the system (11) is GUAS for any switching signal satisfying (14). This completes the proof.…”

“…Recently, the H ∞ control theory keeps attracting more and more attention because of its significant advances [23], and based on H ∞ performance, a number of methodologies have been developed for the H ∞ controller of filter design [24][25][26][27][28][29][30]. However, most of these results focused on the synchronous switching between the system model and the matched controller, which is a quite ideal case.…”

Composite anti‐disturbance resilient control for Markovian jump nonlinear systems with partly unknown transition probabilities and multiple disturbances

“…In addition, disturbances widely exist in practical systems, which may lead to poor performance, even instability. To solve this problem, a lot of efficient methods are proposed, such as H 1 control theory [7][8][9], adaptive control scheme [10], disturbance-observer-based-control (DOBC) method [11][12][13][14][15][16], and so on. Among them, DOBC theory has been applied to many domains because of its high strong robustness, efficiency, and practicability, for example, missile system [17], airbreathing hypersonic vehicle system [18,19], and spacecraft system [20,21].…”

Robust delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays

“…Nowadays, some important results of this issue have been made in recent years [20][21][22][23][24][25][26][27][28][29][30][31]. It is worth noting that the systems in the above literature, there still exists some conservatism for continuous-time dynamic systems with H ∞ state-feedback control and time-varying delays waiting for the further improvements.…”

“…It is worth noting that the systems in the above literature, there still exists some conservatism for continuous-time dynamic systems with H ∞ state-feedback control and time-varying delays waiting for the further improvements. In order to obtain less conservative stability conditions, augment Lyapunov-Krasovskii functionals with the triple integral terms were employed [22][23][24][25][26]. It should be noted that, the term t t−τ x(s), Rx(s) ds always bounded as t t−τ x(s)ds, R t t−τ x(s)ds , for example, the result in [23][24] is conservatism with time delay τ is approximated with τ (t).…”