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This paper considers the optimal tracking control (OTC) problem for bilinear systems affected by sinusoidal disturbances, and gives a successive approximation approach to solve analogous problems for general bilinear systems. For a given bilinear OTC problem, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By iteratively solving the...
The purpose of this paper is to present a new systematic procedure for decoupling and command tracking of multivariable, nonlinear, and unstable systems. The design methodology is based on stabilization of the multivariable system followed by generating its describing function models; two algebraic procedures for decoupling and tracking are utilized. Finally, the design must be verified by a nonlinear...
This paper considers an ldquohomotopy methodrdquo for solving the exact tracking problem for nonlinear affine nonminimum phase systems. The method is presented in a general setting and is applied to the special case of the spherical pendulum. This approach allows finding sufficient conditions for exact tracking for T-periodic curves and bounds on the internal dynamics.
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