Output feedback composite nonlinear feedback control for singular systems with input saturation. (English) Zbl 1307.93163
Summary: This paper addresses the output feedback Composite Nonlinear Feedback (CNF) controller design for a tracking control problem of Single-Input Single-Output (SISO) singular linear systems with input saturation. The output feedback CNF control law is constructed based on a state feedback CNF control law for the tracking control problem and a state observer. The stability of the closed-loop system under the output feedback CNF control law is established for an output feedback CNF control law with a singular full state observer. The design procedure and the improvement of the transient performance of the closed-loop system are illustrated with an example.
MSC:
| 93B52 | Feedback control |
| 93D15 | Stabilization of systems by feedback |
| 93C05 | Linear systems in control theory |
| 93C10 | Nonlinear systems in control theory |
Keywords:
nonlinear feedback control; singular systems with input saturation; composite nonlinear feedback (CNF) controller; singular linear systems; input saturationReferences:
| [1] | Lin, Z.; Pachter, M.; Banda, S., Toward improvement of tracking performance-nonlinear feedback for linear systems, Int. J. Control, 70, 1-11 (1998) · Zbl 0930.93045 |
| [2] | Chen, B. M.; Lee, T. H.; Peng, K.; Venkataramanan, V., Composite nonlinear feedback control for linear systems with input saturationtheory and an application, IEEE Trans. Autom. Control, 48, 3, 427-439 (2003) · Zbl 1364.93294 |
| [3] | Turner, M. C.; Postlethwaite, I.; Walker, D. J., Nonlinear tracking control for multivariable constrained input linear systems, Int. J. Control, 73, 1160-1172 (2000) · Zbl 1062.93512 |
| [4] | He, Y.; Chen, B. M.; Wu, C., Composite nonlinear control with state and measurement feedback for general multivariable systems with input saturation, Syst. Control Lett., 54, 455-469 (2005) · Zbl 1129.93414 |
| [5] | He, Y.; Chen, B. M.; Lan, W., On improvement of transient performance in tracking control for a class of nonlinear discrete-time systems with input saturation, IEEE Trans. Autom. Control, 52, 7, 1307-1313 (2007) · Zbl 1366.93325 |
| [6] | Lan, W.; Chen, B. M.; He, Y., On improvement of transient performance in tracking control for a class of nonlinear systems with input saturation, Syst. Control Lett., 55, 132-138 (2006) · Zbl 1129.93506 |
| [7] | Chen, B. M.; Lee, T. H.; Peng, K.; Venkataramanan, V., Hard Disk Drive Servo Systems (2006), Springer: Springer London |
| [8] | Li, Y.; Venkataramanan, V.; Guo, G.; Wang, Y., Dynamic nonlinear control for fast seek-settling performance in hard disk drives, IEEE Trans. Ind. Electron., 54, 2, 951-962 (2007) |
| [9] | Venkataramanan, V.; Peng, K.; Chen, B. M.; Lee, T. H., Discrete-time composite nonlinear feed-back control with an application in design of a hard disk drive servo system, IEEE Trans. Control Syst. Technol., 11, 1, 16-23 (2003) |
| [11] | Cai, G.; Chen, B. M.; Peng, K.; Dong, M.; Lee, T. H., Comprehensive modeling and control of the yaw channel of a UAV helicopter, IEEE Trans. Ind. Electron., 55, 9, 3426-3434 (2008) |
| [12] | Cheng, G. Y.; Peng, K., Robust composite nonlinear feedback control with application to a servo positioning system, IEEE Trans. Ind. Electron., 54, 2, 1132-1140 (2007) |
| [13] | Cheng, G. Y.; Peng, K.; Chen, B. M.; Lee, T. H., Improving transient performance in tracking general references using composite nonlinear feedback control and its application to high-speed XY-table positioning mechanism, IEEE Trans. Ind. Electron., 54, 2, 1039-1051 (2007) |
| [14] | Lin, Z.; Lv, L., Set invariance conditions for singular linear systems subject to actuator saturation, IEEE Trans. Autom. Control, 52, 12, 2351-2355 (2007) · Zbl 1366.93294 |
| [15] | Lv, L.; Lin, Z., Analysis and design of singular linear systems under actuator saturation and \(L_2 / L_\infty\) disturbances, Syst. Control Lett., 57, 11, 904-912 (2008) · Zbl 1149.93030 |
| [16] | Tarbouriech, S.; Castelan, E. B., An eigenstructure assignment approach for constrained linear continuous-time singular systems, Syst. Control Lett., 24, 5, 333-343 (1995) · Zbl 0877.93052 |
| [17] | Haidar, A.; Boukas, E. K.; Xu, S.; Lam, J., Exponential stability and static output feedback stabilisation of singular time-delay systems with saturating actuators, IET Control Theory Appl., 3, 9, 1293-1305 (2009) |
| [18] | Xu, S.; Lam, J., Positive real control for uncertain nonlinear singular time-delay systems via output feedback controllers, Eur. J. Control, 10, 4, 293-302 (2004) · Zbl 1293.93361 |
| [19] | Liu, Z. Y.; Lin, C.; Chen, B., A neutral system approach to stability of singular time-delay systems, J. Frankl. Inst., 351, 10, 4939-4948 (2014) · Zbl 1395.93466 |
| [20] | Wu, Y. H.; Guang, Z. H.; Feng, G.; Liu, F., Passivity-based control of hybrid impulsive and switching systems with singular structure, J. Frankl. Inst., 350, 6, 1500-1512 (2013) · Zbl 1293.93582 |
| [21] | Lan, W.; Huang, J., Semi-global stabilization and output regulation for linear singular systems with input saturation, IEEE Trans. Autom. Control, 48, 7, 1274-1280 (2003) · Zbl 1364.93644 |
| [22] | Zhang, X.; Liu, X., Output regulation for matrix second order singular systems via measurement output feedback, J. Frankl. Inst., 349, 6, 2124-2135 (2012) · Zbl 1300.93084 |
| [23] | Ma, Y.; Gu, N.; Zhang, Q., Non-fragile robust \(H_\infty\) control for uncertain discrete-time singular systems with time-varying delays, J. Frankl. Inst., 351, 6, 3163-3181 (2014) · Zbl 1290.93063 |
| [24] | Ma, S. P.; Zhang, C. H., \(H_\infty\) control for discrete-time singular Markov jump systems subject to actuator saturation, J. Frankl. Inst., 349, 3, 1011-1029 (2012) · Zbl 1273.93066 |
| [25] | Wo, S. L.; Zou, Y.; Sheng, M.; Xu, S., Robust control for discrete-time singular large-scale systems with parameter uncertainty, J. Frankl. Inst., 344, 2, 97-106 (2007) · Zbl 1269.93028 |
| [26] | Lin, D.; Lan, W.; Li, M., Composite nonlinear feedback control for linear singular systems with input saturation, Syst. Control Lett., 60, 825-831 (2011) · Zbl 1226.93070 |
| [27] | Ishihara, J. Y.; Terra, M. H., On the Lyapunov theorem for singular systems, IEEE Trans. Autom. Control, 47, 11, 1926-1930 (2002) · Zbl 1364.93570 |
| [28] | Dai, L., Singular Control System (1989), Springer-Verlag: Springer-Verlag Berlin · Zbl 0669.93034 |
| [29] | Lewis, F. L., A survey of linear singular systems, Circuits Syst. Signal Process., 5, 1, 3-36 (1986) · Zbl 0613.93029 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
