LEADER-FOLLOWER STRATEGY VIA A SLIDING MODE APPROACH

In this paper, the decision making problem in continuous-time dynamic systems is considered for the situation with two decision makers and a hierarchical decision structure. The leader-follower strategy is stud ied. To implement the leader's strategy, we propose to use a sliding m ode approach, which allows the leader to constrain the state of the sy stem within some manifold of the state space and forces the follower t o choose the strategy preferable for the leader. The corresponding sli ding manifolds are derived from the classical variational problem form ulation for a class of systems whose right-hand side is affine with re spect to the two control inputs. Numerical examples are considered wit h simulations to illustrate the technique.