OPTIMAL CONTROL OF TWO DISTRIBUTED PARAMETER SYSTEMS.
CALIFORNIA UNIV LOS ANGELES DEPT OF ENGINEERING
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The intent of the thesis is twofold. The primary purpose is to present a practical, if heuristic, approach to controlling in an optimal manner a distributed parameter regulator system. The second objective involved obtaining an optimal control law for the STEM Elevated Camera System. Unfortunately, the eigen-function expansion-Galerkin technique became so involved that insufficient time was available to obtain even the closed loop roots of the controlled system. Had the roots been obtained considerable work would have remained to obtain the complete form of the optimal control law. The bright point concerning the STEM involves the discretization method. The validity of the approach is demonstrated on the wave test case. The practicability of the discretization technique is demonstrated by its application to the STEM problem. This approach produced closed loop roots, a displacement time history, and an optimal control law.
- Operations Research