Feedback Control Based on a Sequential Observer-predictor for Systems with Unknown Actuator Delay

다국어 초록 (Multilingual Abstract)

The present work is devoted to the stabilization of linear systems with input delay, where the delay value can be arbitrarily long with respect to the system response. The time-delay is considered unknown or incorrectly modeled. A sequential observer with variable time-delays is designed in order to predict the system states before the delay occurs. The delays in the sequential observer-predictor are updated by means of a delay estimation in order to obtain an accurate state prediction. The stability of the closed-loop system and the convergence of the observers are analyzed by considering the separation principle. Numerical simulations are performed to evaluate the proposed sequential observer-controller under different scenarios.

참고문헌 (Reference)

1 M. Darouach, "Unknown inputs observers design for delay systems" 9 (9): 426-434, 2007

2 J. E. Normey-Rico, "Unified approach for robust dead-time compesator design" 19 (19): 38-47, 2009

3 M. Treiber, "Traffic Flow Dynamics: Data, Models and Simulation" Springer 81-126, 2013

4 M. Gugat, "Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction" 1 (1): 469-491, 2011

5 J. -P. Richard, "Time-delay systems: An overview of some recent advances and open problems" 39 : 1667-1694, 2003

6 V. Rasvan, "Time Delay Systems: Methods, Applications and New Trends" Springer 147-159, 2012

7 B. Shafai, "State and unknown input disturbance estimation for positive linear systems" 1-6, 2016

8 B. Zhou, "Stabilization of linear systems with both input and state delays by observer predictors" 83 (83): 368-377, 2017

9 F. Mazenc, "Stabilization and robustness analysis for time-varying systems with time-varying delays using a sequential subpredictors approach" 82 : 118-127, 2017

10 R. Sipahi, "Stability and stabilization of systems with time delay" 31 (31): 38-65, 2011

11 M. Wu, "Stability Analysis and Robust Control of Time-delay Systems" Springer 2010

12 V. van Assche, "Some problems arising in the implementation of distributed-delay control laws" 5 : 4668-4672, 1999

13 E. Lavretsky, "Robust and Adaptive Control with Aerospace Applications" Springer 2013

14 Q. C. Zhong, "Robust Control of Time-Delay Systems" Springer 2006

15 E. Witrant, "Remote stabilization via communication networks with a distributed control law" 52 (52): 1480-1485, 2007

16 E. Witrant, "Remote output stabilization under two channels time-varying delays" 36 (36): 135-140, 2003

17 B. Zhang, "Recent advances in vibration control of offshore platforms" 89 : 755-771, 2017

18 C. Lu, "Receding horizon synchronization of delayed neural networks using a novel inequality on quadratic polynomial functions" 51 (51): 6085-6095, 2021

19 B. W. Bequette, "Process Control: Modeling, Design and Simulation" Prentice Hall International 2003

20 S. Diop, "Preserving stability/performance when facing an unknown time-delay" 9 (9): 1319-1325, 2001

21 F. Cacace, "Predictor-based control of linear systems with large and variable measurement delays" 87 (87): 704-714, 2014

22 Varinia Fragoso-Rubio ; Martín Velasco-Villa ; Miguel A. Hernández-Pérez ; Basilio del Muro-Cuéllar ; Juan Francisco Márquez-Rubio, "Prediction-observer Scheme for Linear Systems with Input-output Time-delay" 제어·로봇·시스템학회 17 (17): 2012-2025, 2019

23 M. A. Hernández-Pérez, "Prediction-based control for a class of unstable time-delayed processes by using a modified sequential predictor" 92 : 98-107, 2020

24 V. Léchappé, "Prediction-based control for LTI systems with uncertain time-varying delays and partial state knowledge" 91 (91): 1403-1414, 2018

25 R. Colombo, "Optimal control in networks of pipes and canals" 48 (48): 2032-2050, 2009

26 D. F. Novella Rodríguez, "Observer-based scheme for the control of high order systems with two unstable poles plus time delay" 9 (9): 167-180, 2014

27 J. F. Márquez-Rubio, "Observer PID stabilization strategy for unstable first-order linear systems with large time delay" 51 (51): 8477-8487, 2012

28 Z. Artstein, "Linear systems with delayed controls: A reduction" 27 (27): 869-879, 1982

29 O. Sename, "Is a mixed design of observer controllers for time delay systems interesting?" 9 (9): 180-189, 2007

30 A. Manitius, "Finite spectrum assignment problem for systems with delays" 24 (24): 541-552, 1979

31 S. Mondie, "Finite spectrum assignment of unstable time-delay systems with a safe implementation" 48 (48): 2207-2212, 2003

32 W. Kwon, "Feedback stabilization of linear systems with delayed control" 25 (25): 266-269, 1980

33 A. Kazemy, "Event-triggered output feedback synchronization of master-slave neural networks under deception attacks" 33 (33): 952-961, 2022

34 E. R. Boer, "Estimation of time-varying delay time in nonstationary linear systems: An approach to monitor human operator adaptation in manual tracking tasks" 28 (28): 89-99, 1998

35 C. -L. Lai, "Design the remote control system with the time-delay estimator and the adaptive Smith predictor" 6 (6): 73-80, 2010

36 D. Bresch-Pietri, "Delay-adaptive predictor feedback for systems with unknown long actuator delay" 55 (55): 2106-2112, 2010

37 V. Léchappé, "Delay estimation and predictive control of uncertain systems with input delay:Application to a DC motor" 63 (63): 5849-5857, 2016

38 S.-I. Niculescu, "Delay Effects on Stability: A Robust Control Approach" Springer 2001

39 M. R. Matausek, "Control of stable, integrating and unstable processes by the modified Smith predictor" 22 : 338-343, 2012

40 A. Oghbaee, "Complete characterisation of disturbance estimation and fault detection for positive systems" 12 (12): 883-891, 2018

41 M. Darouach, "Complements to full order observer design for linear systems with unknown inputs" 22 (22): 1107-1111, 2009

42 M. Najafi, "Closed-loop control of dead time systems via sequential sub-predictors" 86 (86): 599-609, 2013

43 O. J. M. Smith, "Close control of loops with dead time" 53 (53): 217-219, 1957

44 J. de Halleux, "Boundary feedback control in networks of open channels" 39 (39): 1365-1376, 2003

45 G. Besançon, "Asymptotic state prediction for continuous-time systems with delayed input and application to control" 1786-1791, 2007

46 D. F. Novella-Rodrìguez, "Adaptive multi-observer design for systems with unknown long input delay" 52 (52): 37-42, 2019

47 A. Bayrak, "A novel online adaptive time delay identification technique" 47 (47): 1574-1585, 2016