Optimal Lq-feedback Control for a Class of First-order Hyperbolic Distributed Parameter Systems
نویسندگان
چکیده
The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional (distributed parameter) Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution is obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed. Mathematics Subject Classification. 49J20, 93B52, 34K30, 47H06, 34K20 Received March 27, 2007. Revised July 30, 2007. Published online February 7, 2008.
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تاریخ انتشار 2008