Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent systems

Adaptive Fuzzy Event-Triggered Cooperative Control for Multi-Robot Systems: A Predefined-Time Strategy

“…Theorem 3. For MRSs ( 7) and ( 8) under Assumption 1, replacing controller (23) with eventtriggered controllers ( 34)-( 36), all the properties in Theorem 2 still hold.…”

Distributed adaptive consensus protocol for heterogeneous nonlinear uncertain multi‐agent system with disturbance

“…As (7), the adaptive parameters in DASMCP are independent of prior knowledge of the systems. In existing works, some strict restrictions are assumed, such as in Derahkshannia et al, 31 the control low depends on the solution of 𝜖I n1 > 𝜆|e i (0)|, where e i (0) is the initial error. In Rkma et al, 44 the unknown disturbance is assumed to yield the Lipschitz condition, which is |f i (x) − f j (x)| ≤ ̄lij ||x i − x j ||, where x i and x j are the state vector of agents i and j respectively.…”

“…As (7), the adaptive parameters in DASMCP are independent of prior knowledge of the systems. In existing works, some strict restrictions are assumed, such as in Derahkshannia et al, 31 the control low depends on the solution of $$$ \epsilon {I}_{n1}>\lambda \mid {e}_i(0)\mid $$$, where $$$ {e}_i(0) $$$ is the initial error. In Rkma et al, 44 the unknown disturbance is assumed to yield the Lipschitz condition, which is $$$ \mid {f}_i\left(\boldsymbol{x}\right)-{f}_j\left(\boldsymbol{x}\right)\mid \le {\overline{l}}_{ij}\left\Vert {\boldsymbol{x}}_i-{\boldsymbol{x}}_j\right\Vert $$$, where $$$ {\boldsymbol{x}}_i $$$ and $$$ {\boldsymbol{x}}_j $$$ are the state vector of agents $$$ i $$$ and $$$ j $$$ respectively.…”

“…Another problem is the dependence on prior knowledge. For example, the control law designed by Derakhshannia et al 31 depends on the initial error. And Wu et al 32 selected an appropriate gain based on the Lipschitz constant of nonlinear perturbations.…”

Integral Non-Singular Terminal Sliding Mode Consensus Control for Multi-Agent Systems with Disturbance and Actuator Faults Based on Finite-Time Observer

“…In [ 16 ], a finite-time fault-tolerant super-twisting algorithm is proposed to solve the effects of actuator faults and unknown disturbance, avoiding the chattering problem. In [ 17 ], a novel dynamic sliding mode control protocol is proposed to achieve the finite-time consensus of nonlinear heterogeneous multi-agent systems, which ensures their robustness. In [ 18 ], the Gaussian basis function is introduced to deal with the non-strict feedback term, which realizes the leader–follower consensus of multi-agent systems under the unknown switching mechanism.…”