Quantized output feedback control with multiplicative measurement noises

International Journal of Robust and Nonlinear Control

Volumn 25, Issue 9, 2015, Pages 1338-1351

  Wei, Li ^a   Fu, Minyue ^b,c   Zhang, Huanshui ^d  

^a CHINA JILIANG UNIVERSITY   (China)

^b UNIVERSITY OF NEWCASTLE   (Australia)

^c STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^d SHANDONG UNIVERSITY   (China)

Author keywords

linear quadratic control; quadratic mean square stability; quantized feedback control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; STOCHASTIC SYSTEMS;

DYNAMIC OUTPUT FEEDBACK CONTROLLER; EXISTENCE OF A SOLUTIONS; GUARANTEED COST CONTROL; LINEAR QUADRATIC CONTROL; MEAN SQUARE STABILITY; OUTPUT FEEDBACK CONTROLS; QUADRATIC PERFORMANCE CONTROL; QUANTIZED FEEDBACK CONTROL;

STOCHASTIC CONTROL SYSTEMS;

EID: 84988293065     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.3145     Document Type: Article

References (26)

1. Kalman RE,. Nonlinear Aspects of Sampled-Data Control Systems, Proceedings-symposium on nonlinear circuit theory VII, Polytechnic Press: Brooklyn, NY, 1956.
2. Curry RE,. Estimation and Control with Quantized Measurements. MIT Press: Cambridge, MA, 1970.
3. Lewis JB, Tou JT,. Optimum sampled-data systems with quantized control signals. IEEE Transactions on Applications and Industry 1963; 82: 229-233.
4. Widrow B,. Statistical analysis of amplitude-quantized sampled-data systems. Transactions on America Institute Electrical Engineering 1961; 79: 555-568.
5. Tou JT,. Optimum Design of Digital Control Systems. Academic Press: New York, 1963.
6. Elia N, Mitter S,. Stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 2000; 45: 1279-1289.
7. Tsumura K, Ishii H, Hoshina H,. Tradeoffs between quantization and packet loss in networked control of linear systems. Automatica 2009; 45: 2963-2970.
8. You K, Xie L,. Minimum data rate for mean square stabilization of discrete LTI systems over lossy channels. IEEE Transactions on Automatic Control 2010; 55: 2373-2378.
9. Ling Q, Lemmon M,. Stability of quantized control systems under dynamic bit assignment. IEEE Transactions on Automatic Control 2005; 50: 734-740.
10. Nair G, Evans R,. Exponential stabilisability of finite- dimensional linear systems with limited data rates. Automatica 2003; 39: 585-593.
11. Wei L, Zhang H, Fu M,. Quantized stabilization for stochastic discrete-time systems with multiplicative noises. International Journal of Robust and Nonlinear Control 2013; 23 (6): 591-601. DOI: 10.1002/rnc.2778.
12. Fu M, Xie L,. The sector bound approach to quantized feedback control. IEEE Transactions on Automatic Control 2005; 50: 1698-1711.
13. Fu M, Xie L,. Finite-level quantized feedback control for linear systems. IEEE Transactions on Automatic Control 2009; 54: 1165-1170.
14. Gao H, Chen T,. A new approach to quantized feedback control systems. Automatica 2008; 44: 534-542.
15. Zhou B, Duan G, Lam J,. On the absolute stability approach to quantized feedback control. Automatica 2010; 46: 337-346.
16. Tian E, Yue D, Peng C,. Quantized output feedback control for networked control systems. Information Sciences 2008; 178: 2734-2749.
17. Niu Y, Jia T, Wang X, Yang F,. Output-feedback control design for NCSs subject to quantization and dropout. Information Sciences 2009; 179: 3804-3813.
18. Ishido Y, Takaba K, Quevedo D,. Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization. Systems Control Letters 2011; 60: 325-332.
19. Yang R, Shi P, Liu G, Gao H,. Network-based feedback control for systems with mixed delays based on quantization and dropout compensation. Automatica 2011; 47: 2805-2809.
20. Moheimani S, Petersen I,. Optimal guaranteed cost control of uncertain systems via static and dynamic output feedback. Automatic 1996; 32: 575-579.
21. Petersen I, McFarlane D, Rotea M,. Optimal guaranteed cost control of discrete-time uncertain linear systems. International Journal of Robust and Nonlinear Control 1998; 8: 649-657.
22. Garcia G, Pradin B, Tarbouriech S, Zeng F,. Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback. Automatica 2003; 39: 1635-1641.
23. Shi Y,. Output feedback stabilization of networked control systems with random delays modeled by Markov Chains. IEEE Transactions on Automatic Control 2009; 54: 1668-1674.
24. Tong S, He X, Zhang H,. A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control. IEEE Transactions on Fuzzy Systems 2009; 17: 1059-1069.
25. Gao H, Meng X, Chen T, Lam J,. Stabilization of networked control systems via dynamic output feedback controllers. S I A M Journal on Control and Optimization 2010; 48: 3643-3658.
26. Boyd S, Ghaoui L, Feron E, Balakrishnan V,. Linear Matrix Inequalities in System and Control Theory, Volume 15 of Studies in Applied Mathematics Society for Industrial and Applied Mathematics (SIAM). SIAM: Philadelphia, 1994.