A family of H8 controllers for dissipative Hamiltonian systems

Using structure properties of dissipative Hamiltonian systems, this paper investigates the parameterization problem of Hinfty controllers for such systems. A family of H8 controllers with full information is first obtained by interconnecting an H8 controller with a generalized zero-energy-gradient (ZEG) detectable, free generalized Hamiltonian system. Then, a family of H8 controllers with partial information is presented in terms of the solution to an inequality only in 2n independent variables (twice as many as the one used to characterize the state feedback) and without imposing an additional cascade condition. Both of the parameterization methods avoid solving HamiltonJacobiIssacs equations (or inequalities), and thus the proposed controllers are relatively simple in form and easy in operation. Numerical experiments show the effectiveness and feasibility of the proposed methods. Copyright (c) 2011 John Wiley & Sons, Ltd.