Abstract
A methodological approach is suggested to cascade design (synthesis) of a control system of a robotic manipulator operating under the conditions of uncertainty and the action of external disturbances with due regard for the dynamics of direct-current drives. To solve the problem of tracking of prescribed trajectories, suggestion is made of the algorithmic two-level decomposition with the separation of the initial problem of control synthesis into independently solvable subproblems of a smaller dimension: synthesis of control actions in a mechanical subsystem and synthesis of control actions in actuators with the further subdivision of the problems of synthesis in each of subsystems into elementary subproblems. A problem is solved for the security of invariance to disturbances with the aid of the methods involving the systems with high gains and discontinuous controls and the composite control. Decomposition procedures are evolved of the synthesis of observers on the basis of measurements of positions of a manipulator and armature currents of electric drives.
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REFERENCES
Drakunov, S.V., Izosimov, D.B., Luk'yanov, A.G., et al., The Principle of Block Control, Avtom. Telemekh., 1990, no. 5, pp. 3-13; 1990, no. 6, pp. 20-31.
Krstic, M., Kanellakopoulos, I., and Kokotovic, P., Nonlinear and Adaptive Control Design, New York: Wiley, 1995.
Nicosia, S. and Tomei, P., A Global Output Feedback Controller for Flexible Joint Robots, Automatica, 1995, vol. 31, no. 10, pp. 1465-1469.
Utkin, V.I., Skol'zyashchie rezhimy v zadachakh upravleniya i optimizatsii (Sliding Modes in Problems of Control and Optimization), Moscow: Nauka, 1981.
Meerov, M.V., Automatic Control Systems that are Stable with Infinitely Large Coefficients, Avtom. Telemekh., 1947, vol. 8, no. 4, pp. 225-242.
Matyukhin, V.I. and Pyatnitskii, E.S., Control of Motion of Robotic Manipulators on the Principle of Decomposition with Regard to Dynamics of Drives, Avtom. Telemekh., 1989, no. 8, pp. 67-81.
Hashimoto, H., Harashima, F., Kalico, I., et al., Sliding Mode Control and Potential Field in Obstacle Avoidance, ECC'93, Groningen, Holland, June 28-July 1, 1993, vol. 3, pp. 859-862.
Stotine, J.E., Sliding Controller Design for Nonlinear Systems, Int. J. Control, 1984, vol. 40, no. 2, pp. 421-434.
Krasnova, S.A., Obstacle Avoidance Control of the Flexible Joint Robot with Account of Drives Dynamics, 14th IFAC World Congr., Beijing, July 5-9, 1999, vol. B, pp. 371-376.
Drazenovic, B., The Invariance Conditions in Variable Structure Systems, Automatica, 1969, vol. 5, no. 3, pp. 287-295.
Petrov, B.N., Rutkovskii, V.Yu., and Zemlyakov, S.D., Adaptivnoe koordinatno-parametricheskoe upravlenie nestatsionarnymi ob"ektami (Adaptive Coordinate-Parametric Control of Nonstationary Objects), Moscow: Nauka, 1980.
Utkin, V.A., The Control of Flexible Structure Systems Using a Motion Division Method, 14th IFAC World Congr., Beijing, July 5-9, 1999, vol. C, pp. 533-537.
Krasnova, S.A., Utkin, V.A., and Mikheev, Yu.V., Stage Synthesis of State Observers of Nonlinear Multidimensional Systems, Avtom. Telemekh., 2001, no. 2, pp. 43-64.
Yuan, J. and Stepanenko, Y., Composite Adaptive Control of Flexible Joint Robots, Automatica, 1993, vol. 29, no. 3, pp. 609-619.
Chilikin, M.G., Klyuchev, V.I., and Sandler, A.S., Teoriya avtomatizirovannogo elektroprivoda (The Theory of Automated Electric Drives), Moscow: Energiya, 1973.
Utkin, V.I., Sliding Mode Control Design Principles and Applications of Electric Drives, IEEE Trans. Indust. Electron., 1993, vol. 40, no. 1, pp. 23-36.
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Krasnova, S.A. Cascade Design of a Manipulator Control System with Consideration for Dynamics of Electric Drives. Automation and Remote Control 62, 1803–1824 (2001). https://doi.org/10.1023/A:1012738206807
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DOI: https://doi.org/10.1023/A:1012738206807