In this paper, distributed leader-follower control algorithms are presented for linear multi-agent systems based on output regulation theory and internal model principle. By treating a leader to be followed as an exosystem, the proposed framework can be used to generalize existing multi-agent coordination solutions to allow the identical agents to track an active leader with different dynamics and unmeasurable variables. Moreover, the obtained results for multi-agent coordination control are an extension of previous work on centralized and decentralized output regulation to a distributed control context. Necessary and sufficient conditions for the distributed output regulation problem are given. Finally, distributed output regulation of some classes of multi-agent systems with switching interconnection topologies are discussed via both static and dynamic feedback.
In this paper, a model-free solution to the H ∞ control of linear discrete-time systems is presented. The proposed approach employs off-policy reinforcement learning (RL) to solve the game algebraic Riccati equation online using measured data along the system trajectories. Like existing model-free RL algorithms, no knowledge of the system dynamics is required. However, the proposed method has two main advantages. First, the disturbance input does not need to be adjusted in a specific manner. This makes it more practical as the disturbance cannot be specified in most real-world applications. Second, there is no bias as a result of adding a probing noise to the control input to maintain persistence of excitation (PE) condition. Consequently, the convergence of the proposed algorithm is not affected by probing noise. An example of the H ∞ control for an F-16 aircraft is given. It is seen that the convergence of the new off-policy RL algorithm is insensitive to probing noise.
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