A new experimental set-up, two inverted pendulums on carts coupled by a spring, is presented in this brief paper. The plant to be controlled is modelled as an example of a large unstable nonlinear system consisting of two subsystems. Such an experimental system can be used for many control studies, in particular for the study of the control of non-linear systems with coupled unstable subsystems.
Anderson, B.D.O. and Moore, J.B.1971: Linear optimal control. Prentice-Hall .
2.
Bakule, L.2008: Decentralized control: an overview. Annual Reviews in Control32, 87-98.
3.
Da, F.2000: Decentralized sliding mode adaptive controller design based on fuzzy neural networks for interconnected uncertain nonlinear system . IEEE Transactions on Neural Networks11, 1471-80.
Hovakimyan, N., Lavretsky, E., Calise, A. and Sattigeri, R.2006: Decentralized adaptive output feedback control via input/output inversion. International Journal of Control79, 1538-51.
7.
Iftar, A.2008: Decentralized robust control of large-scale time-delay systems. Proceedings of the IFAC 17th World Congress , 6-11 July, 9332-37.
8.
Ikeda, M. and Siljak, D.D.1990: Optimality and robustness of linear quadratic control for nonlinear systems. Automatica26, 499-511.
9.
Ikeda, M. and Siljak, D.D.1992: Robust stabilisation of nonlinear systems via linear state feedback. In Leondes, C.T., editor. Control and dynamic systems. Vol. 51. Academic Press.
10.
Iordanou, H.N. and Surgenor, B.W.1997: Experimental evaluation of the robustness of discrete sliding mode control versus linear quadratic control. IEEE Transactions on Control Systems Technology5, 254-60.
11.
Shi, L. and Singh, S.K.1992: Decentralized adaptive controller design for large-scale systems with higher order interconnections. IEEE Transactions on Automatic Control37, 1106-18.
12.
Siljak, D.D.1991: Decentralized control of complex systems. Academic Press.
13.
Siljak, D.D. and Zecevic, A.I.2005: Control of large-scale systems: beyond decentralized feedback . Annual Reviews in Control29, 169-79.
14.
Spooner, J.T. and Passino, K.M.1999: Decentralized adaptive control of nonlinear systems using radial basis neural networks. IEEE Transactions on Automatic Control44, 2050-57.
15.
Wu, Q.H., Jiang, L. and Wen, J.Y.2004: Decentralized adaptive control of interconnected non-linear systems using high gain observer. International Journal of Control77, 703-12.
16.
Yang, T.C. No date. A scalable controller for n pendulums coupled by n - 1 springs , available from: www.sussex.ac.uk/Users/taiyang/software/PDF_document_and_Demo_Scalable_Pendulums.zip.
17.
Yang, T.C.2006a: Networked Control System: A Design Challenge, available from: www.sussex.ac.uk/Users/taiyang/publications/2006paper4.pdf.
18.
Yang, T.C.2006b: Networked control system: a brief survey (in particular, section 3: impact of NCS on traditional large-scale system control methodologies) . IEE Proceedings: Control Theory and Applications153, 403-12.
19.
Yang, T.C., Yu, H. and Peng, H.1999: Stabilizing controller design for complex systems: some new concepts and approaches. Proceedings of the IFAC 14th World Congress, Vol. L, 211-16.