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|Title||A Convex Optimization Approach to Synthesizing Low Order Controllers for Autopilot Pitch Aircraft|
During the last decade, a large research effort has been devoted to the problem of designing robust controllers capable of guaranteeing stability in the face of plant uncertainty. In spite of large research efforts, this problem is not completely resolved. Alternatively, mixed objective control problems have attracted much attention lately since they allow for directly capturing different performance specifications without resorting to approximations or the use of weighting functions; thus, eliminating the need for trial and error type iterations. Of course, it is not always possible to capture all the desired performance specifications in a single norm constraint, and so a number of researchers have considered mixed norm minimization problems, including , , and . This thesis, considers the problem of minimizing the norm of a certain closed-loop transfer function, while maintaining the norm (mixed), or the norm (mixed), of a different transfer function below a pre-specified level for an autopilot pitch aircraft. The main results of this thesis show that a two-stage process can synthesize suboptimal controllers, involving a convex optimization problem, which optimizes the norm, internal characteristic of controller and or optimization that optimize the external characteristic of the system. Furthermore, this approach also provides a CVX-based parameterization of all suboptimal output feedback controllers, including reduced order, for mixed andproblems. The developed approach is tested by designing a control with multi-objective autopilot controlling the pitch of an aircraft.
|Publisher||the islamic university|
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