A family of H∞ controllers for dissipative Hamiltonian systems

Without solving Hamilton-Jacobi-Issacs equations, a family of H<inf>∞</inf> controllers is proposed for dissipative Hamiltonian systems. These controllers are obtained by interconnecting an H<inf>∞</inf> controller with a generalized ZEG detectable, free generalized Hamiltonian system. Simulations show the effectiveness of the H<inf>∞</inf> control strategy proposed in this paper.

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