Artículos de revistas
H∞ Control Design For Time-delay Linear Systems: A Rational Transfer Function Based Approach
Registro en:
European Journal Of Control. , v. 18, n. 5, p. 425 - 436, 2012.
9473580
10.3166/EJC.18.425-436
2-s2.0-84875185783
Autor
Korogui R.H.
Fioravanti A.R.
Geromel J.C.
Institución
Resumen
The aim of this paper is to present new results on H∞ control synthesis for time-delay linear systems. We extend the use of a finite order LTI system, called comparison system to H∞ analysis and design. Differently from what can be viewed as a common feature of other control design methods available in the literature to date, the one presented here treats time-delay systems control design with classical numeric routines based on Riccati equations arisen from H∞ theory. The proposed algorithm is simple, efficient and easy to implement. Some examples illustrating state and output feedback design are solved and discussed in order to put in evidence the most relevant characteristic of the theoretical results. Moreover, a practical application involving a 3-DOF networked control system is presented. © 2012 EUCA. 18 5 425 436 Boukas, E.-K., Liu, Z.-K., (2002) Deterministic and Stochastic Time Delay Systems, Control Engineering, , Birkhäuser, Boston Byrd, R.H., Schnabel, R.B., Continuity of the null space basis and constrained optimization (1986) Math Program, 35 (1), pp. 32-41 Choi, H.H., Chungs, M.J., Observer-based H∞ controller design for state delayed linear systems (1995) Automatica, 32 (7), pp. 1073-1075 Colaneri, P., Geromel, J.C., Locatelli, A., (1997) Control Theory and Design: An RH2-RH∞ Viewpoint, , Academic Press Inc., London, UK de Oliveira, M.C., Geromel, J.C., Synthesis of non-rational controllers for linear delay systems (2004) Automatica, 40 (2), pp. 171-188 de Oliveira, M.C., Souza, F.O., Palhares, R.M., Assessing Stability of Time-Delay Systems Using Rational Systems (2008) Proceedings of the 47th IEEE Conference on Decision and Control, pp. 4012-4017. , Cancun, Mexico, December 9-11 Fridman, E., Shaked, U., New bounded real lemma representations for time-delay systems and their applications (2001) IEEE Trans Autom Control, 46 (12), pp. 1973-1979 Fridman, E., Shaked, U., A descriptor system approach to H∞ control of linear time-delay systems (2002) IEEE Trans Autom Control, 47 (2), pp. 253-270 Ge, J.-H., Frank, P.M., Lin, C.-F., H∞ control via output feedback for state delayed systems (1996) Int J Control, 64 (1), pp. 1-7 Gu, K., Kharitonov, V.L., Chen, J., (2003) Stability of Time-Delay Systems, Control Engineering, , Birkhäuser, Boston Hespanha, J.P., Naghshtabrizi, P., Xu, Y., A survey of recent results in networked control systems (2007) Proc IEEE, 95 (1), pp. 138-162 Korogui, R.H., Fioravanti, A.R., Geromel, J.C., On a rational transfer function-based approach to H∞ filter design for time-delay linear systems (2011) IEEE Trans Signal Process, 59 (3), pp. 979-988 Lee, J.H., Kim, W., Kwon, W.H., Memoryless H∞ controllers for state delayed systems (1994) IEEE Trans Autom Control, 39 (1), pp. 159-162 Niculescu, S.I., H∞ memoryless control with an α-stability constraint for time-delay systems: An LMI approach (1998) IEEE Trans Autom Control, 43 (5), pp. 739-748 Niculescu, S.I., Gu, K., (2004) Advances in Time-Delay Systems, , Springer Olgac, N., Sipahi, R., An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems (2002) IEEE Trans Autom Control, 47 (5), pp. 793-797 (2010) 3 DOF Hover System, , www.quanser.com, Quanser Rekasius, Z.V., A Stability Test for Systems with Delays (1980) Proc. of Joint Automatic Control Conference, , Paper No. TP9-A Richard, J.-P., Time delay systems: Anoverviewof some recent advances and open problems (2003) Automatica, 39 (10), pp. 1667-1694 Roesch, O., Roth, H., Niculescu, S.-I., Remote Control of Mechatronic Systems Over Communication Networks (2005) Proc. IEEE Inter. Conf. Mechatronics & Automation, pp. 1648-1653. , Niagara Falls, Canada, July Shen, J.-C., Chen, B.-S., Kung, F.-C., Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach (1991) IEEE Trans Autom Control, 36 (5), pp. 638-640 Sipahi, R., Olgac, N., A Comparison of Methods Solving the Imaginary Characteristic Roots of LTI Time Delayed Systems (2005) Proceedings of the IFAC World Congress, , Prague, Czech Republic Zhang, J., Knospe, C.R., Tsiotras, P., New results for the analysis of linear systems with time-invariant delays (2003) Int J Robust Nonlinear Control, 13 (12), pp. 1149-1175 Zhang, L., Shi, Y., Chen, T., Huang, B., A new method for stabilization of networked control systems with random delays (2005) IEEE Trans Autom Control, 50 (8), pp. 1177-1181 Zhang, W., Branicky, M.S., Phillips, S.M., Stability of networked control systems (2001) IEEE Control Syst Mag, pp. 84-99 Zhou, K., Doyle, J.C., (1998) Essentials of Robust Control, , Prentice Hall, New Jersey