Sliding mode control for consensus tracking of second-order nonlinear multi-agent systems driven by Brownian motion

An ammonia coverage ratio observing and tracking controller: stability analysis and simulation evaluation

“…Thus, in this paper taking x 2 as an accurate measurable parameter and considering its dynamics, an ammonia coverage ratio sliding mode observer under Lyapunov theory is proposed, as shown in (13) and (14). It is well known that the sliding mode observation technique has very good robustness with respect to bounded uncertainties [22,23].…”

Tracking consensus for stochastic hybrid multi‐agent systems with partly unknown transition rates via sliding mode control

“…Due to the features of SMC mentioned above, it also could be applied to solve consensus problems in MASs and some achievements are obtained in [2,[21][22][23]. Tracking consensus protocol via SMC was proposed for second-order non-linear MASs with disturbances in [2,22].…”

“…Tracking consensus protocol via SMC was proposed for second-order non-linear MASs with disturbances in [2,22]. SMC for stochastic second-order tracking consensus was investigated in [23]. In [21], consensus tracking for general linear stochastic MASs was studied, while the mismatched uncertainty and structure's random switching were not considered.…”

“…Due to the communication constraint which is described by a directed communication graph in MASs, the control design needs to consider the interactions among agents and the capability of information exchange to avoid using the full information of MASs for feedback control. It is noted that the sliding mode controllers are not distributed actually in [2,21,23] which makes the first motivation to design a distributed one in our study. In practical applications, MASs may be affected by stochastic factors and mismatched uncertainty simultaneously.…”

Leader-following consensus of second-order nonlinear multi-agent systems with intermittent position measurements

“…For distributed consensus-seeking, some appropriate distributed control strategies are adopted such that a group of autonomous agents asymptotically reach an agreement on a common value. The consensus-seeking problems have been intensively discussed from different perspectives including leaderless consensus (i.e., consensus without any leader) [5][6][7][8][9][10], leader-following consensus (i.e., consensus with a leader) [11][12][13][14][15], and containment control (i.e., consensus with multiple leaders) [16][17][18][19][20]. Note that the abovementioned references only address the consensus problems of multi-agent systems under continuous communication.…”