251
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Input and output constraints-based stabilisation of switched nonlinear systems with unstable subsystems and its application

, & ORCID Icon
Pages 84-97 | Received 05 Jan 2017, Accepted 17 Oct 2017, Published online: 08 Nov 2017

References

  • Ariffin, A. E., & Munro, N. (1997). Robust control analysis of a gas-turbine aeroengine. IEEE Transactions on Control Systems Technology, 5(2), 178–188.
  • Greitzer, E. M., & Moore, F. K. (1986). A theory of post-stall transients in axial compression systems-Part II: Application. Journal of Engineering for Gas Turbines and Power, 108(1), 231–239.
  • Jaw, L. C., & Mattingly, J. D. (2009). Aircraft engine controls: Design, system analysis, and health monitoring. Reston, VA: American Institute of Aeronautics and Astronautics.
  • Li, Y., & Lin, Z. (2013). Design of saturation-based switching anti-windup gains for the enlargement of the domain of attraction. IEEE Transaction on Automatic Control, 58(7), 1810–1816.
  • Li, Y., & Lin, Z. (2014). Saturation-based switching anti-windup design for linear systems with nested input saturation. Automatica, 50(11), 2888–2896.
  • Liberzon, D., & Trenn, S. (2012). Switched nonlinear differential algebraic equations: Solution theory, Lyapunov fucntions, and stability. Automatica, 48(5), 954–963.
  • Lin, W., & Qian, C. (2000). Adding one power integrator: A tool for global stabilization of high-order lower-triangular systems. Systems & Control Letters, 39(5), 339–351.
  • Lin, Z., & Lv, L. (2007). Set invariance conditions for singular linear systems subject to actuator saturation. IEEE Transaction on Automatic Control, 52(12), 2351–2355.
  • Lin, Z., Saberi, A., & Stoorvogel, A. A. (1996). Semiglobal stabilization of linear discrete-time systems subject to input saturation via linear feedback-an ARE-based approach. IEEE Transaction on Automatic Control, 41(8), 1203–1207.
  • Liu, X., Shi, J., Yuan, Y., & An, S. (2015). Multiobjective control system controllers design based on switching and applications. IEEE Aerospace & Electronic Systems Magazine, 30(1), 32–42.
  • Long, L., & Zhao, J. (2012). H∞ control of switched nonlinear systems in p-normal form using multiple Lyapunov functions. IEEE Transaction on Automatic Control, 57(5), 1285–1291.
  • Mao, Y., Zhang, H., & Xu, S. (2014). The exponential stability and asynchronous stabilization of a class of switched nonlinear system via the T–S fuzzy model. IEEE Transactions on Fuzzy Systems, 22(4), 817–828.
  • Mao, Y., Zhang, H., & Zhang, Z. (2017). Finite-time stabilization of discrete-time switched nonlinear systems without stable subsystems via optimal switching signal design. IEEE Transactions on Fuzzy Systems, 25(1), 172–180.
  • Moore, F. K., & Greitzer, E. M. (1986). A theory of post-stall transients in axial compression systems-Part I: Development of equations. Journal of Engineering for Gas Turbines and Power, 108(1), 68–76.
  • Ngo, K. B., Mahony, R., & Jiang, Z. P. (2005, December). Integrator backstepping using barrier functions for systems with multiple state constraints. In Proceedings of the 44th IEEE conference on decision and control and European control conference (pp. 8306–8312). Seville, Spain: IEEE Control Systems Society.
  • Niu, B., & Zhao, J. (2013). Barrier Lyapunov functions for the output tracking control of constrained nonlinear switched systems. Systems & Control Letters, 62(10), 963–971.
  • Pakmehr, M. (2013). Towards verifiable adaptive control of gas turbine engines (Doctoral dissertation), Georgia Institute of Technology, Atlanta, GA.
  • Qian, C., & Lin, W. (2001). Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. Systems & Control Letters, 42(3), 185–200.
  • Richter H. (2011). A multi-regulator sliding mode control strategy for output-constrained systems. Automatica, 47(10), 2251–2259.
  • Scharlau, C. C., de Oliveira, M. C., Trofino, A., & Dezuo, T. J. (2014). Switching rule design for affine switched systems using a max-type composition rule. Systems & Control Letters, 68, 1–8.
  • Sobey, A. J., & Suggs, A. M. (1963). Control of aircraft and missile powerplants: An introduction to the analysis and design of engine control systems. New York, NY: Wiley.
  • Tee, K. P., Ge, S. S., & Tay, E. H. (2009). Adaptive control of electrostatic microactuators with bidirectional drive. IEEE Transactions on Control Systems Technology, 17(2), 340–352.
  • Wang, P., Sui, Y. F., & Cheng, N. (2014). Design and realization of simulation platform for turbofan-engine. Journal of System Simulation, 26(5), 986–990.
  • Xiang, W., & Xiao, J. (2014). Stabilization of switched continuous-time systems with all modes unstable via dwell time switching. Automatica, 50(3), 940–945.
  • Zhao, H., Liu, J., & Yu, D. (2011). Approximate nonlinear modeling and feedback linearization control of aeroengines. Journal of Engineering for Gas Turbines and Power, 133(11), 111601–1-111601-10.
  • Zhao, J., & Hill, D. J. (2008). On stability, L2-gain and H∞ control for switched systems. Automatica, 44(5), 1220–1232.
  • Zhao, X., Yin, S., Li, H., & Niu, B. (2015). Switching stabilization for a class of slowly switched systems. IEEE Transactions on Automatic Control, 60(1), 221–226.
  • Zhao, X., Yin, Y., Zhang, L., & Yang, H. (2016). Control of switched nonlinear systems via T–S fuzzy modeling. IEEE Transactions on Fuzzy Systems, 24(1), 235–241.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.