Purpose -This paper aims to determine the optimal preview length for the preview state feedback controller and to design the static preview gains for the controller. Design/methodology/approach -The design methodology is based on LMI formulations and Bisection Approach to determine the optimal preview length for the preview state feedback controller that achieves robust H1 performance. The determination of the optimal preview length is such that the performance of the optimized controller is similar (within bounds) to the maximum length controller, in terms of transient and frequency response along with the H1 performance. Findings -The proposed algorithm is implemented for two benchmark design examples that verify its ability and applicability. The results show that the optimal preview length controller designed using the proposed method performs similar to the maximum length preview controller (within bounds) and better than reported in literature. Originality/value -The paper discusses the novel algorithm formulation and its proof as no such method is available to determine the optimal preview length.
Preview Control is a field well suited for application to systems that have reference signals known a priori. The use of advance knowledge of reference signal can improve the tracking quality of the concerned control system. The classical solution to the Preview Control problem is obtained using the Algebraic Riccati Equation. The solution obtained is good but it is not optimal and has a scope of improvement. This paper presents a novel method of design of H∞ Preview Controller using Particle Swarm Optimization (PSO) technique. The procedure is based on improving the performance by minimizing the objective function i.e. IAE (Integral of Absolute Error). The procedure is tested for two systems -Altitude Control System of second order and an industrial system of fifth order using MATLAB software environment. The results show that the solutions of PSO based technique are better in terms of the control characteristics of transient response of the system for various preview lengths, stability and also in terms of the objective function Integral of Absolute Error (IAE).
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