Design of Stabilizing Controllers With a Dynamic Gain for Feedforward Nonlinear Time-Delay Systems

Finite-time stabilization of uncertain nonholonomic systems in feedforward-like form by output feedback

“…Although great progress on nonlinear feedforward systems has been made [36,[38][39][40], for nonholonomic feedforward system (6), how to construct a finite-time stabilizer via output feedback is still very difficult problem. The crucial obstacle mainly comes from two aspects.…”

Global asymptotic stabilization of stochastic feedforward nonlinear systems with input time-delay

“…As discussed in stochastic feedforward references [12,14,15] and the deterministic feedforward references [3,18,25,[27][28][29], Assumption 1 is a general and frequently used condition.…”

“…Koo et al [8], Krstić [10], Mazenc et al [17], Zhang et al [29], respectively, considered more general feedforward nonlinear systems with a delay in the input by using different design and analysis methods. When feedforward systems with state and input time-delay, [26] investigated adaptive stabilization problem by taking a nested saturation feedback and a set of switching logics, [27] constructed the delay-independent feedback controllers based on the Lyapunov-Razumikhin theorem and LyapunovKrasovskii theorem, [28] studied global strong stabilization for high-order feedforward systems by adopting a dynamic low-gain control scheme.…”

Output feedback regulation for large-scale uncertain nonlinear systems with time delays

“…For system (1) satisfying (2) with N = f i (·) = 1, τ i1 = τ i2 = 0, the output feedback stabilization or regulation problem has been investigated in [1,26]. For system (1) satisfying (2) with τ i2 = 0 and θ = 1, the output feedback stabilization problem has been considered in [23,24]. For system (1) satisfying (2), where N = f i (·) = 1, τ 11 = 0 and τ 12 is a time-varying functions, the output feedback regulation problem has been studied in [9].…”

“…In the last decade, the problem of global output feedback control of nonlinear systems with linear unmeasurable states multiplying by the various growth functions has received considerable attention and still remains as an active research topic (see e. g., [1,2,9,10,11,12,13,15,16,18,22,23,24,25,26]). For example, a time-varying output feedback controller has been proposed for the global regulation of nonlinear uncertain systems DOI: 10.14736/kyb-2015- with an unbounded time-varying delay in the input in [9].…”