In article the mathematical model of the three-wheeled mobile robot on basis Laplacian performance is presented. Synthesis of the adaptive control system by a technique of creation of modal PID-controllers is considered.
1. Sizykh V.N. Bakanov M.V. Mathematical model for the adaptive control of wheeled mobile robot// Transport, mining and construction engineering: science and production. – Proceedings of international scientific-practical conference. – Saint-Petersburg: SPbB SRC MS, 2018. – № 1. – p. 9-18.
2. Methods of the classical and modern theory of automatic control. vol.3: Synthesis of regulators of systems of automatic control / Under the editorship of K.A. Pupkov and N.D. Egupov. – M.: MSTU publishing house of N.E. Bauman, 2004. – 616 pages.
3. Ang A.H., Chong G., Li Y.PID control system analysis, desing and technology /IEEE Trans. on Control Syst. Tech., 2005. Vol. 13, No. 4.– P. 559-576.
4. Astom K.J., Hagglunk T. Advanced PID control. // Instrumentation, Systems and Automation Society, 2006. – 406 p.
5. Quevedo J., Escobet T. Digital control: past, present and future of PID control. // Proc. IFACWorkshop. – Terassa, Spain, Apr. 5-7, 2000.
6. Bulgakov V.V., Kulabukhov V.S. The comparative analysis of the formalized methods of synthesis of the regulator of the watching system. // Devices. 2013. № 1 (151).– С. 39-44.
7. Kim D.P. Algebraic method of synthesis of linear continuous control systems. // Mechatronics, automation, management. 2011. № 1. – С. 9-15.
8. Ziegler J.G., Nichols N.B. Optimum setting for automatic controllers. // Trans. ASME. 1942. Vol. 64. – pp. 759-768.
9. Farhan A.S. New efficient model-based PID design method. // European Scientific Journal Edition. 2013. Vol. 9.No. 15. – Pp. 181-190.
10. Sizykh V.N., Mukhopad A. Yu. The associative automatic machine of adaptive management of technological processes on the basis of neural networks.//Scientific bulletin of Novosibirsk State Technical University. 2014. No. 1 (54). – Page 34-45.
11. Ageev A.M., Sizykh V.N. Synthesis of optimum regulators of a control system of plane through the solution of the return problem of AKOR.//Scientific bulletin of the Novosibirsk state technical university. 2014. № 3 (56). – С. 7-22.
12. Leva A., Cox C., Ruano A. Hands-on PID autotuning: a guide to better utilization – IFAC Professional Brief, http://www.ifac-control.org – 84p.
13. Izerman R. Digital control systems. M.Zh Mir, 1984, 541 pages.
14. Methods of robastny, neuro and indistinct and adaptive management. The textbook / under the editorship of N.D. Egupov, prod. the 2nd. M.: MSTU publishing house of Bauman, 2002, 744 pages.
15. Rotach V.Ya. Theory of automatic control. M.: MEI, 2004, 400 pages.