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In this paper the disturbance attenuation and rejection problem is investigated for a class of nonlinear systems. The unknown external disturbances are supposed to be generated by an exogenous system. By using the successive approximation theory of differential equations, the two-point boundary value (TPBV) problems, which are derived from the original optimal tracking control (OTC) theory, is transformed...
In this paper, a multi-objective heuristic-based method of design of a fuzzy controller for an inverted pendulum-cart system is investigated. A heuristic search optimization called “Imperialist Competitive Algorithm” is proposed to be used in generating and optimizing the fuzzy rules engine. The main purpose of this paper is to design a model-free nonlinear controller for inverted pendulum-cart system...
It is shown in this paper that the successive approximation procedure simplifies computations of the optimal solution of a bilinear-quadratic optimal control problem. For a given bilinear system affected by external periodic disturbances, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By solving iterative the sequences, the optimal...
This paper presents the successive approximation procedure of the optimal solution for an infinite-time bilinear-quadratic optimal control problem. For a given bilinear system affected by period disturbances, a sequence of linear problems is constructed, and their solutions are shown to converge to the desired solution. By solving iterative the sequences, the optimal control law is obtained. By comparing...
The optimal tracking and disturbance rejection problem for a class of nonlinear systems with sinusoidal disturbances of known frequencies in the discrete-time domain is considered. Optimal tracking and disturbance rejection can be designed separately. The original system is transformed into an augmented system without disturbances, thus the optimal rejection of disturbances can be treated by using...
An approximate optimal tracking control (OTC) algorithm for sinusoidal disturbances rejections of nonlinear systems is developed in this paper. In the proposed control method, the nonlinear two-point boundary value (TPBV) problem, which is derived from the original OTC problem, is rewritten into a new form through a transformation and is transformed into a sequence of linear TPBV problems by using...
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