References
- Almeida, H. L. S., Bhaya, A., & Falcão, D. M. (2001). A team algorithm for robust stability analysis and control design of uncertain time-varying systems using piecewise quadratic Lyapunov functions. International Journal of Robust and Nonlinear Control: IFAC-Affiliated Journal, 11(1), 357–371. https://doi.org/10.1002/rnc.v11:4
- Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. SIAM Studies in Applied Mathematics.
- Gahinet, P., Apkarian, P., & Chilali, M. (1996). Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Transactions on Automatic Control, 41(3), 436–442. https://doi.org/10.1109/9.486646
- Gantmacher, F. R. (1960). The theory of matrices. (Vol. 1). Chelsea Publishing Company.
- Hopp, T. H., & Schmitendorf, W. E. (1990). Design of a linear controller for robust tracking and model following. Transactions of the ASME, 112(4), 552–558. https://doi.org/10.1115/1.2896179
- Oya, H., & Hagino, K. (2003). Robust control with adaptive compensation input for linear uncertain systems. IEICE Transaction on Fundamentals, E86-A(6), 1517–1524.
- Oya, H., Kubo, T., & Hagino, K. (2011, August 28–September 2). Synthesis of variable gain controllers for a class of uncertain linear systems with state delays via piecewise Lyapunov functions. In Proceedings of the 18th World Congress The International Federation of Automatic Control (pp. 7426–7431), Milano.
- Oya, H., Kubo, T., & Hagino, K. (2014, August 24-29). Synthesis of decentralized variable gain robust controllers for a class of large-scale serially connected systems with nonlinear perturbations via piecewise Lyapunov functions. In Preprints of the 19th world congress the international federation of automatic control (pp. 5808–5813).
- Oya, H., Nagai, S., Matsuki, T., & Hoshi, Y. (2018). Synthesis of adaptive gain robust model-following/tracking controllers for a class of uncertain linear systems. International Journal of Systems Science, 49(10), 2129–2143. https://doi.org/10.1080/00207721.2018.1484197
- Oya, H., & Uehara, Y. (2012, September 3–5). Synthesis of variable gain controllers based on LQ optimal control for a class of uncertain linear systems. In UKACC International Conference on Control 2012, (pp. 87-91). Cardiff.
- Smyshlyaev, A., & Krstic, M. (2010). Adaptive control of parabolic PDEs. Princeton University Press.
- Veselý, V. (2002). Design of robust output affine quadratic controller. In Proceedings of 2002 The International Federation of Automatic Control World Congress (pp. 265–270).
- Wu, H. (2000). Robust tracking and model following control with zero tracking error for uncertain dynamical systems. Journal of Optimization Theory and Applications, 107(1), 169–182. https://doi.org/10.1023/A:1004665018593
- Wu, H. (2004). Adaptive robust tracking and model following of uncertain dynamical systems with multiple time delay. IEEE Transaction on Automatic Control, 49(4), 611–616. https://doi.org/10.1109/TAC.2004.825634
- Xie, L., Shishkin, S., & Fu, M. (1997). Piecewise Lyapunov functions for robust stability of linear time-varying systems. Systems & Control Letters, 31(3), 165–171. https://doi.org/10.1016/S0167-6911(97)00027-3