Design of Optimally Convex Controller for Pitch Control of an Aircraft (original) (raw)
The convex optimization problems for development of linear time-invariant controllers are more prevalent in practice than was previously thought. Since 1990 many applications have been discovered in areas of automatic control systems of aircraft. The solution methods are reliable enough to be embedded in a computer-aided design or analysis tool, or even a real-time automatic control system. There are also theoretical or conceptual advantages of formulating a problem as a convex optimization problem. Our main goal is to develop a working knowledge of convex optimization, i.e., to develop the skills and background needed to recognize, formulate, and solve convex optimization problems pertaining to aircraft control. In this paper a design method is proposed to solve control system design problems in which a set of multiple closed loop performance specification must be simultaneously satisfied. To utilize this approach all close loop performance specification considered must have the property that they are convex with respect to closed loop system transfer matrix. For close loop performance specification a close loop controller chosen from a set of all linear controllers determined by trial and error such that the specification is satisfied. The transfer matrix of the final system is determined through the convex combination of the transfer matrices of the plant and the controllers. With the close loop transfer matrices given the closed loop controller structures and its gains are solved algebraically. In this paper we established conditions for the existence of a designed parameter inherent in convexity. The experimental verification deals with a problem of pitch control of flight dynamics of a rigid body aircraft. Key words: convex controller, parameter optimization, transfer matrices, integral square error(ISE), pitch control,
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