Abstract
Three new algorithms for synthesizing control for the model of an electrohydraulic disk brake system are presented, which are based on the synergetic control theory. The first algorithm is developed relying on the classical method of analytical design of aggregated regulators in an assumption of a completely defined object. The second algorithm represents an algorithm of nonlinear adaptation on a target manifold and is designed for an object with a nonrandom disturbance in the control channel. The third algorithm takes account of the random disturbance in the discrete description of this object and rests on the strategies minimizing the dispersion of the output macrovariable. The results of a comparative numerical simulation of the three control algorithms are presented and the recommendations concerning the selection of the regulator parameters are formulated depending on the level of systematic disturbances and random noise.
Highlights
An increased interest is demonstrated in the system synthesis algorithms relying on the physical control theory and its implementation methods due their “closeness” to the natural properties of objects and for a reason of the most “delicate” and energy-saving intrusion into their behavior to achieve the target and desirable properties [1]-[3].The purpose of this study is to design an asymptotically stable and robust synergetic [1] control over an electrohydraulic disk brake for a rail car wheel set; its initial model was of the 10-th order and later was reduced to the 4-th order
X∗ = 0, k → ∞, where E Y is the sign of a mathematical expectation of a random value of Y; 2) a minimum to the quality functional E Φ(ψ∗) ; 3) a minimality of dispersion of the output macrovariable D ψ∗ → min and of all intermediate macrovariables appearing in the implementation of the aggregated regulators (ADAR)-synthesis hierarchical subproblems of the control design)
We have proposed three new algorithms for designing a control system, which bring a fourth-order nonlinear unstable self-energizing electrohydraulic brake (SEHB)-object described by a system of differential/difference equations to a target manifold
Summary
An increased interest is demonstrated in the system synthesis algorithms relying on the physical control theory and its implementation methods due their “closeness” to the natural properties of objects and for a reason of the most “delicate” and energy-saving intrusion into their behavior to achieve the target and desirable properties [1]-[3]. The analogs of control algorithms over this object are the algorithms based on the proportionalintegral-differential (PID) controller and on the method on feedback linearization (MFL) [3]. The limitation of the former is the oscillatory braking character, which results in the wear of the mechanical section of the brake. The result presented here is theoretical; it consists in an analytical design of a regulator compensating for the unknown restricted disturbances over the control channel
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