Improved synthesis conditions for mixed H2/H∞ gain-scheduling control subject to uncertain scheduling parameters

References

• Agulhari, C.M., Oliveira, R.C.L.F., & Peres, P.L.D. (2012). Robust LMI Parser: A computational package to construct LMI conditions for uncertain systems. In Proceedings of the XIX Brazilian Conference on Automation (CBA 2012), (pp. 2298–2305). Campina Grande, Brasil.
   Google Scholar
• Apkarian, P., & Adams, R.J. (1997). Advanced gain-scheduling techniques for uncertain systems. IEEE Transactions on Control System Technology, 6, 21–32.
   Web of Science ®Google Scholar
• Apkarian, P., & Tuan, H.D. (2000). Parameterized LMIs in control theory. SIAM Journal on Control and Optimization, 38, 1241–1264.
   Web of Science ®Google Scholar
• Apkarian, P., Tuan, H.D., & Bernussou, J. (2001). Continuous-time analysis, Eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities LMI characterizations. IEEE Transactions on Automatic Control, 46, 1941–1946.
   Web of Science ®Google Scholar
• Chesi, G., Garulli, A., Tesi, A., & Vicino, A. (2007). Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions. Automatica, 43, 309–316.
   Web of Science ®Google Scholar
• Daafouz, J., Bernussou, J., & Geromel, J. (2008). On inexact LPV control design of continuous time polytopic systems. IEEE Transactions on Automatic Control, 53, 1674–1678.
   Web of Science ®Google Scholar
• Deaecto, G.S., Geromel, J.C., & Daafouz, J. (2011). Switched state-feedback control for continuous time-varying polytopic systems. International Journal of Control, 84, 1500–1508.
   Web of Science ®Google Scholar
• de Oliveira, M.C., & Skelton, R.E. (2001). Stability tests for constrained linear systems. In Perspectives in Robust Control (pp. 241–257). London, UK, Author, Springer.
   Google Scholar
• De Souza, C.E., & Trofino, A. (2006). Gain-scheduled H2 controller synthesis for linear parameter varying systems via parameter-dependent Lyapunov functions. International Journal of Robust and Nonlinear Control, 16, 243–257.
   Web of Science ®Google Scholar
• Ebihara, Y., & Hagiwara, T. (2005). A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems. Automatica, 41, 1933–1941.
   Web of Science ®Google Scholar
• Geromel, J.C., & Colaneri, P. (2006). Robust stability of time-varying polytopic systems. Systems & Control Letters, 55, 81–85.
   Web of Science ®Google Scholar
• Geromel, J.C., & Deaecto, G.S. (2009). Switched state feedback control for continuous-time uncertain systems. Automatica, 45, 593–597.
   Web of Science ®Google Scholar
• Hoffmann, C., & Werner, H. (2015). A survey of linear parameter-varying control applications validated by experiments or high-fidelity simulations. IEEE Transactions on Control Systems Technology, 23, 416–433.
   Web of Science ®Google Scholar
• Khargonekar, P.P., & Rotea, M.A. (1991). Mixed H2/H∞ control: A convex optimization approach. IEEE Transactions on Automatic Control, 36, 824–837.
   Web of Science ®Google Scholar
• Kose, I.E., & Jabbari, F. (1999). Control of LPV systems with partly measured parameters. IEEE Transactions on Automatic Control, 44, 658–663.
   Web of Science ®Google Scholar
• Lacerda, M.J., Tognetti, E.S., Oliveira, R.C., & Peres, P.L. (2016). A new approach to handle additive and multiplicative uncertainties in the measurement for H∞ LPV filtering. International Journal of Systems Science, 47, 1042–1053.
   Web of Science ®Google Scholar
• Leith, D.J., & Leithead, W.E. (2000). Survey of gain-scheduling analysis and design. International Journal of Control, 73, 1001–1025.
   Web of Science ®Google Scholar
• Löfberg, J. (2004, September). YALMIP: A toolbox for modeling and optimization in MATLAB. In Proceedings of the CACSD Conference. Taipei, Author, IEEE.
   Google Scholar
• Luspay, T., & Grigoriadis, K. (2015). Robust linear parameter-varying control of blood pressure using vasoactive drugs. International Journal of Control, 88, 2013–2029.
   Web of Science ®Google Scholar
• Meisami-Azadt, M., Mohammadpour, J., & Grigoriadis, K.M. (2009). Upper bound mixed H2/H∞ control and integrated design for collocated structural systems. In American Control Conference (pp. 4563–4568). St. Louis, MO.
   Google Scholar
• Montagner, V.F., Oliveira, R.C., Peres, P.L., & Bliman, P.A. (2009). Stability analysis and gain-scheduled state feedback control for continuous-time systems with bounded parameter variations. International Journal of Control, 82, 1045–1059.
   Web of Science ®Google Scholar
• Németh, B., Varga, B., & Gáspár, P. (2015). Hierarchical design of an electro-hydraulic actuator based on robust LPV methods. International Journal of Control, 88, 1429–1440.
   Web of Science ®Google Scholar
• Oliveira, M.C.D., Geromel, J.C., & Bernussou, J. (2002). Extended H2 and H∞ norm characterizations and controller parameterizations for discrete-time systems. International Journal of Control, 75, 666–679.
   Web of Science ®Google Scholar
• Oliveira, R.C.L.F., Bliman, P., & Peres, P.L.D. (2008, December). Robust LMIs with parameters in multi-simplex: Existence of solutions and applications. In 47th IEEE Conference on Decision and Control (CDC) (pp. 2226–2231, Cancun, Mexico, IEEE, Author).
   Google Scholar
• Oliveira, R., & Peres, P. (2007). Parameter-dependent LMIs in robust analysis: Characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations. IEEE Transactions on Automatic Control, 52, 1334–1340.
   Web of Science ®Google Scholar
• Oliveira, R.C., de Oliveira, M.C., & Peres, P.L. (2008). Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions. Systems & Control Letters, 57, 680–689.
   Web of Science ®Google Scholar
• Oliveira, R.C., & Peres, P.L. (2009). Time-varying discrete-time linear systems with bounded rates of variation: Stability analysis and control design. Automatica, 45, 2620–2626.
   Web of Science ®Google Scholar
• Pipeleers, G., Demeulenaere, B., Swevers, J., & Vandenberghe, L. (2009). Extended LMI characterizations for stability and performance of linear systems. Systems & Control Letters, 58, 510–518.
   Web of Science ®Google Scholar
• Sato, M. (2008). Design method of gain-scheduled controllers not depending on derivatives of parameters. International Journal of Control, 81, 1013–1025.
   Web of Science ®Google Scholar
• Sato, M. (2010a). Gain-scheduled state-feedback controllers using inexactly measured scheduling parameters: Stabilizing and H∞ control problems. SICE Journal of Control, Measurement, and System Integration, 3, 285–291.
   Google Scholar
• , IEEE Sato, M. (2010b, December). Gain-scheduled output-feedback controllers using inexactly measured scheduling parameters. In 49th IEEE Conference on Decision and Control (CDC) (pp. 3174–3180). Atlanta, GA, Author, IEEE.
   Google Scholar
• Sato, M., Ebihara, Y., & Peaucelle, D. (2010, June). Gain-scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H∞ problems. In American Control Conference (ACC) (pp. 3094–3099). Baltimore, MD.
   Google Scholar
• Sato, M., & Peaucelle, D. (2013). Gain-scheduled output-feedback controllers using inexact scheduling parameters for continuous-time LPV systems. Automatica, 49, 1019–1025.
   Web of Science ®Google Scholar
• Scherer, C., Gahinet, P., & Chilali, M. (1997). Multi-objective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control, 42, 896–911.
   Web of Science ®Google Scholar
• Scherer, C. (2005). Relaxations for robust linear matrix inequality problems with verifications for exactness. SIAM Journal on Matrix Analysis and Applications, 27, 365–395.
   Web of Science ®Google Scholar
• Shirazi, F.A., Grigoriadis, K.M., & Viassolo, D. (2012). Wind turbine integrated structural and LPV control design for improved closed-loop performance. International Journal of Control, 85, 1178–1196.
   Web of Science ®Google Scholar
• Sturm, J. (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11, 625–653.
   Web of Science ®Google Scholar
• White, A., Ren, Z., Zhu, G., & Choi, J. (2013). Mixed H2/H∞ observer-based LPV control of a hydraulic engine cam phasing actuator. IEEE Transactions on Control Systems Technology, 21, 229–238.
   Web of Science ®Google Scholar
• Wu, F., Yang, X.H., Packard, A., & Becker, G. (1996). Induced L2-norm control for LPV systems with bounded parameter variation rates. International Journal of Robust and Nonlinear Control, 6, 983–998.
   Web of Science ®Google Scholar
• Xie, W. (2008). Improved L2 gain performance controller synthesis for Takagi–Sugeno fuzzy system. IEEE Transactions on Fuzzy Systems, 16, 1142–1150.
   Web of Science ®Google Scholar
• Xie, W. (2012). Multi-objective H2/L2 performance controller synthesis for LPV systems. Asian Journal of Control, 14, 1273–1281.
   Web of Science ®Google Scholar
• Yuan, C., & Wu, F. (2015). Robust H2 and H∞ switched feedforward control of uncertain LFT systems: Feedforward control of LFT systems. International Journal of Robust and Nonlinear Control, 1481–1856.
   Google Scholar
  26, 1481–1856.
   Google Scholar
• Yuan, C., Wu, F., & Chang, D. (2015). Robust switching output feedback control of discrete-time linear polytopic uncertain systems. In 2015 34th Chinese Control Conference (CCC) (pp. 2973–2978). IEEE, Author, Hangzhou, China.
   Google Scholar