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This paper is concerned with discrete feedforward and feedback optimal tracking control schemes for an offshore steel jacket platform subject to irregular wave force. By discretizing a dynamic model of the offshore steel jacket platform system, a discrete feedforward and feedback optimal tracking controller is developed first to attenuate the wave-induced vibration of the offshore platform. Then,...
This paper studies the vibration control of jacket-type offshore platforms. A feedforward and feedback optimal controller (FFOC) is developed. The FFOC is proved to be existent and unique. In the design of FFOC, we consider the irregular wave and current forces, and the displacement and velocity of structure. The feasibility and effectiveness of the presented control law is demonstrated by a numerical...
This paper considers the optimal tracking control (OTC) problem for MIMO systems affected by external disturbances based on stability degree constraint. The objective is to find an OTC, by which the cost function minimum and the state with the OTC having a higher mean-square convergence rate can be obtained. According to the special disturbance form, by supposing the Lagrange operator to solve the...
A feedforward and feedback optimal control algorithm is developed for a class of weak nonlinear discrete systems affected by additive disturbances. By using the successive approximation approach (SAA), we solve the coupled nonlinear two-point boundary value (TPBV) problem derived from the necessary condition of the optimal control problem. The main result concerns the existence and design of a feedforward...
This paper presents a feedforward and feedback controller design approach to solve the problem of optimal control for vehicle active suspension systems with control delay. A quarter-car model with active suspension system is considered. Based on a particular transformation, the original delay system is reduced into a non-delay system. By introducing a disturbance compensation vector, the feedforward...
This paper develops an approximate design procedure of optimal tracking controllers for a class of nonlinear systems with persistent disturbances in the infinite time domain. By using the successive approximation approach (SAA), the two-point boundary value (TPBV) problem, which is derived from the optimal control theory, is transformed into solving a sequence of linear TPBV problems. The solution...
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