Non-linear measurement feedback H8-control of time-periodic systems with application to tracking control of robot manipulators

Non-linear H1-controller synthesis is developed for time-periodic systems via measurement feedback. Interest is focused on a periodic controller design. Both global and local solutions of the problem are derived. The global solution is based on a suitable solution to appropriate Hamilton± Jacobi± Isaacs inequalities, whereas the local solution is derived by means of a certain perturbation of the diŒerential Riccati equations appearing in solving the linear H1-control problem for the linearized system. Theoretical results are supported by simulation of H1-tracking control of a robot manipulator.