摘要:
Erfindungsgemäß wird ein Verfahren zum Regeln eines hydraulischen Antriebs bereitgestellt, wobei der Antrieb einen Zylinder (14) und ein den Zylinder (14) schaltendes Ventil (17) aufweist. Eine elektrische Spannung (u(t)) von dem Ventil empfangen und in eine Position des Zylinders (14) umgesetzt. Die Position wird durch Ansteuern der elektrischen Spannung mit einer Sliding-Mode Regelung geregelt. Das Stellgesetz der Regelung enthält ein äquivalentes Stellgesetz und ein diskontinuierliches Stellgesetz. Das diskontinuierliche Stellgesetz mit folgenden Schritten erzeugt. Es wird eine Schaltfunktion s(e,t) mittels der gewichteten Summe s e t = - λ 1 e - λ 2 e - λ 3 e berechnet, wobei für e gilt: e = x r -x . x r ist dabei die Zielposition des Zylinders. λ 1 , λ 2 , λ 3 sind Konstanten, die alle >0 sind. Das Verfahren enthält zusätzlich einen Schritt des Bildens einer Vorzeichenfunktion, wobei das Argument der Vorzeichenfuktion die Schaltfunktion s(e,t) enthält.
摘要:
A sliding mode control method with feedforward compensation function which realizes control response adapted to varying system parameters and which always normalizes the operation quantity added to the control object. Position deviation (ε), speed deviation (ε), estimated maximum and minimum inertias (Jmax, J0), estimated maximum and minimum gravity loads (GRmax, GRmin), switch-over variable (s), integration element (∫(ε+C.ε)), the second differential (Υr) of an instructed position, and an actual speed (Υ) are periodically calculated based upon the instructed position (Υr), an actual position (Υ), inertia data and gravity load data (100 to 102, 104, 107, 110, 114, 117, 120, 123, 127). Based upon a switch-over quantity (T1) obtained by adding up five terms calculated depending on positive or negative sign of the switch-over variable, position deviation, integration element, second differential and actual speed, a proper torque instruction (T) is periodically calculated as an operation quantity even when nonlinear system parameters such as inertia are changed (105, 106, 108, 109, 111 to 113, 115, 116, 118, 119, 121, 122, 124 to 126, 128 to 131).
摘要:
An adaptive sliding mode control method which improves convergence of estimation parameters and having excellent damping characteristics. A position error ε between an instruction position and a motor position, a speed error ε, and acceleration Θr of position instruction are determined (S3). A position error εt between the motor position and a mechanical movable portion and its differentiation value εt are determined (S4, S5). A phase plane Suf is obtained by feeding back the position error εt between the motor position and the mechanical movable portion (S7). The estimation values Jhat, Ahat, Grhat of the terms of inertia, kinetic friction coefficient, and gravity are determined (S8), and a switch input τ1 is set to a maximum value Dis(max) or a minimum value Dis(min) of disturbance in accordance with the sign of the phase plane Suf (S10, S11). The torque instruction τ to the motor is determined and is delivered to a current loop (S12, S13). Vibration of the mechanical movable portion is reduced after positioning is completed.
摘要:
This invention relates to a sliding mode control method which can improve a property of a control system to follow up an instruction at the time of change of the operation conditions of a machine and can prevent vibration of the machine which is likely to occur due to the action of spring elements of the machine when the operating conditions change. A processor of a servo circuit calculates a position error (ε) and a speed error (ε) on the basis of an instructed position (Υr) and an actual position (Υ), estimates a twist quantity (εn) and a twist speed (εn) by observer processing and calculates a switch plane (s) (102). The processor calculates each of the first to fourth terms of the switch quantity (T1) in accordance with the positive or negative and position error of the switch plane (s), the second order differentiation of the instructed position and one corresponding positive or negative of twist quantity and twist speed (103 ∩ 129) and then calculates a torque instruction (T) sufficient to converge the switch plane to zero on the basis of the switch quantity obtained by adding these four terms (130, 131). Even when non-linear parameters associated with the spring elements of the machine change, the servo system follows up the change in an excellent way and prevents the vibration of the machine.
摘要:
A method of sliding mode control which decreases the steady deviation from the control target and which improves control stability by adapting the control system to a change in the system parameter. The processor in a digital servo circuit of the servo control system calculates position deviation (ε), speed deviation (έ), a value of the switch-over plane (s) and a value of an integration element on the switch-over plane (100 to 102, 107, 113) based on an instructed position (Θr) and an actual position (Θ). The processor further calculates a first term and a second term of switch-over quantity (T1) according to a calculation formula determined depending upon the switch-over plane, position deviation and positive or negative sign to which the value of the integration element is corresponded (103 to 115). Then, based on a calculated value of switch-over quantity (T1) that is equal to the sum of the first and second terms and that satisfies the Liapunov stabilization condition, a torque instruction (T) is calculated that is sufficient to converge the characteristics of the control system to the switch-over plane (s = 0). As a result, the control system does not lose stability even when the system parameters undergo a change.
摘要:
An actuator control apparatus (1) is provided, capable of causing a state value which changes according to the action of an actuator (10) to match a prescribed target value. A synchronizing mechanism (2) is modeled as the collision of an inertial system object and an elastic system object, and taking as a state amount the deviation between the actual position (Psc) of a coupling sleeve (6) and the target position (Psc_cmd), a computation coefficient (VPOLE) of a switching function used in sliding mode control which takes the state amount as a variable is, in a first process until the coupling sleeve (6) makes contact with a synchronizer ring, set according to the actual position (Psc) of the coupling sleeve (6), and in a process until the coupling sleeve (6) engages a synchronized gear (7), is set such that the pressing force of the coupling sleeve (6) matches a target pressing force.
摘要:
An adaptive sliding mode control method which improves convergence of estimation parameters and having excellent damping characteristics. A position error ε between an instruction position and a motor position, a speed error ε, and acceleration Υr of position instruction are determined (S3). A position error εt between the motor position and a mechanical movable portion and its differentiation value εt are determined (S4, S5). A phase plane Suf is obtained by feeding back the position error εt between the motor position and the mechanical movable portion (S7). The estimation values Jhat, Ahat, Grhat of the terms of inertia, kinetic friction coefficient, and gravity are determined (S8), and a switch input τ1 is set to a maximum value Dis(max) or a minimum value Dis(min) of disturbance in accordance with the sign of the phase plane Suf (S10, S11). The torque instruction τ to the motor is determined and is delivered to a current loop (S12, S13). Vibration of the mechanical movable portion is reduced after positioning is completed.
摘要:
A method of sliding mode control which decreases the steady deviation from the control target and which improves control stability by adapting the control system to a change in the system parameter. The processor in a digital servo circuit of the servo control system calculates position deviation (ε), speed deviation (ε), a value of the switch-over plane (s) and a value of an integration element (∫)((ε + C.ε)) on the switch-over plane (100 to 102, 107, 113) based on an instructed position (Υr) and an actual position (Υ). The processor further calculates a first term and a second term of switch-over quantity (T1) according to a calculation formula determined depending upon the switch-over plane, position deviation and positive or negative sign to which the value of the integration element is corresponded (103 to 115). Then, based on a calculated value of switch-over quantity (T1) that is equal to the sum of the first and second terms and that satisfies the Liapunov stabilization condition, a torque instruction (T) is calculated that is sufficient to converge the characteristics of the control system to the switch-over plane (s = 0). As a result, the control system does not lose stability even when the system parameters undergo a change.