Semi-global leader-following consensus of multiple linear systems with position and rate limited actuators

International Journal of Robust and Nonlinear Control

Volumn 25, Issue 13, 2015, Pages 2083-2100

  Zhao, Zhiyun ^a   Lin, Zongli ^a,b  

^a China   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

actuator saturation; consensus; nonlinear systems; rate saturation

Indexed keywords

ACTUATORS; CONTROL THEORY; FEEDBACK CONTROL; STATE FEEDBACK; UNDIRECTED GRAPHS;

ACTUATOR SATURATIONS; CONSENSUS; CONSENSUS PROBLEMS; LEADER FOLLOWING; LINEAR OUTPUT FEEDBACK; LINEAR STATE FEEDBACK CONTROL; POSITION AND RATE-LIMITED ACTUATORS; RATE SATURATION; SEMI-GLOBAL; STATE FEEDBACK CONTROL LAW;

LINEAR SYSTEMS;

EID: 84987861999     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/RNC.3191     Document Type: Article

References (25)

1. Alighanbari M, How JP. Decentralized task assignment for unmanned aerial vehicles. Proceedings of the IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, 2005; 5668–5673.
2. Cook J, Hu G. Experimental validation and algorithm of a multi-robot cooperative control method. IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Montreal, QC, Canada, 2010; 109–114.
3. Klein DJ, Bettale PK, Triplett BI, Morgansen KA. Autonomous underwater multivehicle control with limited com-munication: theory and experiment. IFAC Workshop on Navigation, Guidance and Control of Underwater Vehicles, Killaloe, Ireland, 2008.
4. Olfati-Saber R, Murray RM. Consensus problems in networks of agents with swiching topology and time-delays. IEEE Transactions on Automatic Control 2004; 49(9):1520–1533.
5. Jadbabaie A, Lin J, Morse AS. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 2003; 48(6):988–1001.
6. Ren W, Beard RW, Atkins EM. A survey of consensus pronlems in multi-agent coordination. Proceedings of American Control Conference, Portland, OR, USA, 2005; 1859–1864.
7. Jin Z, Murray RM. Multi-hop relay protocols for fast consensus seeking. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 2006; 1001–1006.
8. Yu W, Chen G, Ren W, Kurths J, Zheng W. Distributed higher order consensus protocols in multiagent dynamical systems. IEEE Transactions on Circuits and Systems 2011; 58(8):1924–1932.
9. Wang X, Hong Y, Huang J, Jiang Z. A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Transactions on Automatic Control 2010; 55(12):2891–2895.
10. Su Y, Huang J. Cooperative output regulation with application to multi-agent consensus under switching network. IEEE Transactions on Systems Man, and Cybernetics 2012; 42(1):864–875.
11. Su Y, Huang J. Cooperative output regulation of linear multi-agent systems. IEEE Transactions on Automatic Control 2012; 57(4):1062–1066.
12. Su Y, Huang J. Cooperative output regulation of linear multi-agent systems by output feedback. Systems & Control Letters 2012; 61(12):1248–1253.
13. Hong Y, Wang X, Jiang Z. Multi-agent coordination with general linear models: a distributed output regulation approach. IEEE Proceedings of 8th International Conference on Control and Automation, Xiamen, China, 2010; 137–142.
14. Grip HF, Yang T, Saberi A, Stoorvogel AA. Output synchronization for heterogeneous networks of non-introspective agents. Automatica 2012; 48(10):2444–2453.
15. Yang T, Stoorvogel AA, Grip HF, Saberi A. Semi-global regulation of output synchronization for heterogeneous networks of non-introspective, invertible agents subject to actuator saturation. International Journal of Robust and Nonlinear Control 2014; 24(3):548–566.
16. Li Y, Xiang J, Wei W. Consensus problems for linear time-invariant multi-agent systems with saturation constraints. IET Control Theory and Applications 2011; 5(6):823–829.
17. Meng Z, Zhao Z, Lin Z. On global leader-following consensus of identical linear dynamic systems subject to actuator saturation. Systems & Control Letters 2013; 62(2):132–142.
18. Yang T, Meng Z, Dimarogonas DV, Johansson KH. Global consensus for discrete-time multi-agent systems with input saturation constraints. Automatica 2014; 50(2):499–506.
19. Zhao Z, Lin Z. Global leader-following consensus of a group of multiple integrator agents using bounded controls. Proceedings of 32nd Chinese Control Conference, Xi’an, China, 2013; 7172–7178.
20. Su H, Chen ZQ, Lam J, Lin Z. Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback. IEEE Transactions on Circuits and Systems 2013; 60(7):1881–1889.
21. Lin Z. Low Gain Feedback, xvii, 354 p. Springer: London, 1998.
22. Dornheim MA. Report pinpoints factors leading to YF-22 crash. Aviation Week Space Technology 1992; 9:53–54.
23. Lin Z. Semi-global stabilization of linear systems with position and rate-limited actuators. Systems & Control Letters 1997; 30(1):1–11.
24. Lim YH, Ahm HS. Decentralized control of nonlinear interconnected systems under both amplitude and rate saturations. Automatica 2013; 49(8):2551–2555.
25. Hu J, Hong Y. Leader-following coordination of multi-agent systems with coupling time delays. Physica A: Statistical Mechanics and its Applications 2007; 374(2):853–863.