Output feedback control using state observers of a class of nonlinear nonstandard two-time-scale systems

Event‐triggered output feedback control for two‐time‐scale systems with structured uncertainty

“…Then (25a) can be rewritten as M 0 + He{M T 1 M 2 } < 0, which is equivalent to the first LMI in (21). Since Ψ ij , i, j = 1, 2 are chosen by solving linear matrix inequalities (21), the matrices such as L i , D, S ij , Y i and F i , i, j = 1, 2 are all determined at the same time from (17).…”

“…To guarantee the stability of the TTSSs, References 12 and 15 make restrictions on the reversibility of the fast dynamic matrix and full column rank of the input matrix, respectively. The researches of linear TTSSs are also extended to multi‐agent systems 13 and nonlinear systems 17 …”

“…However, in real applications, the states of the system are often difficult or costly to be obtained directly, only the output information can be used. Thus, to achieve the control purpose, some output feedback control methods [9][10][11][12][13] and observer-based control methods [14][15][16][17] emerged. Specifically, relying on a proper descriptor representation, the fuzzy TTSSs are modeled in Takagi-Sugeno form.…”

“…The researches of linear TTSSs are also extended to multi-agent systems 13 and nonlinear systems. 17 Nevertheless, the above-mentioned output-based controllers are all updated continuously. With digital implementation, controllers can only be updated discretely, which gives rise to the time-triggered controllers and the event-triggered controllers.…”