Feedback stabilization of linear systems with delayed control

Кwon, Wook Hyun; Pearson, A. E.

doi:10.1109/tac.1980.1102288

Cited by 449 publications

(179 citation statements)

References 9 publications

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“…In the previous several years, ample amount of consideration is paid to the knowledge of stabilization of perturbed systems having delays in control input [11]- [12]. The input delay in a system can be due to the delays in the transmission from sensor towards controller or controller towards actuator etc.…”

Section: Delay Factormentioning

confidence: 99%

Sampled Data Robust Control of an Under-Actuated Electromechanical System with Input Delay

Shafiq

Malik

2016

MATEC Web of Conferences

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Abstract. This paper focuses on sampled data control of an under-actuated electromechanical system with input delay, subjected to both parametric uncertainty and exogenous disturbances. The system is stabilized by a robust ஶ controller that stabilizes the closed loop system and attains a specified level of perturbation attenuation for all permissible parametric uncertainty. The proposed ஶ controller is designed for the orientation control of an underactuated electromechanical system which is a customized drill machine. The controller is designed on the basis of discrete time equivalent model of the system which is fully actuated and time invariant. The controller performance is evaluated on the basis of Monte Carlo simulations.

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Section: Delay Factormentioning

confidence: 99%

Sampled Data Robust Control of an Under-Actuated Electromechanical System with Input Delay

Shafiq

Malik

2016

MATEC Web of Conferences

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“…The explicit reduction transformation method of input delay systems was suggested by Kwon and Pearson [5]. In [5], Kwon and Pearson employed the receding horizon method to input delay systems, where an unexpected good stabilization method (reduction transformation) was founded. The reduction transformation method was extended to the output-feedback case in [6], where a delay-free observer was introduced.…”

mentioning

confidence: 99%

“…The reduction transformation method is a different approach from the state-space setting to overcome these problems. The explicit reduction transformation method of input delay systems was suggested by Kwon and Pearson [5]. In [5], Kwon and Pearson employed the receding horizon method to input delay systems, where an unexpected good stabilization method (reduction transformation) was founded.…”

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confidence: 99%

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Stabilization of linear systems with distributed input delay using reduction transformation

Choon

2011

Chin. Sci. Bull.

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We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.delay systems, delay-free systems, distributed delay, reduction transformation, riccati equation Citation:Choon K A. Stabilization of linear systems with distributed input delay using reduction transformation. Chinese Sci Bull, 2011Bull, , 56: 1413Bull, −1416Bull, , doi: 10.1007 In industrial processes, time delays often occur in the transmission of information or material between different parts of a system. The presence of time delays causes serious deterioration on the stability and performance of the system and considerable researches have been done on the control problems of time delay systems [1,2]. Time delay systems are a special case of infinite dimensional systems which have an infinite number of poles. This feature makes the control of time delay systems a difficult task to handle. The easiest way is to reduce time delay systems to delayfree systems and then apply the well developed control techniques for the finite dimensional systems. The Smith predictor may be one of the most well known delay compensation methods utilizing this concept. Although a number of improved versions of the Smith predictor have been proposed by many researchers, the Smith predictor methods suffer from some inherent shortcomings. First, the Smith predictor cannot be applied to unstable systems [3]. The second drawback is that the initial state of the system is ignored in the Smith predictor method. The degradation of the performance is an inevitable result, when it is applied to the systems with nonzero initial conditions. The third shortcoming is the lack of robustness. The performance of the Smith predictor method is sensitive to the accuracy of the model of the system and time delay. It also suffers from sluggish responses to disturbances. To overcome the above mentioned difficulties, a number of improved versions of the Smith predictor have been proposed by many researchers [4]. The reduction transformation method is a different approach from the state-space setting to overcome these problems. The explicit reduction transformation method of input delay systems was suggested by Kwon and Pearson [5]. In [5], Kwon and Pearson employed the receding horizon method to input delay systems, where an unexpected good stabilization method (reduction transformation) was founded. The reduction transformation method was extended to the output-feedback case in [6], where a delay-free observer was introduced. This observer can directly estimate the linear funct...

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“…La técnica de control FSA se basa en la transformación del vector de estados del proceso propuesta por [74,3] que permite eliminar los retardos de la ecuación característica del sistema, de modo que los polos del sistema en bucle cerrado se pueden asignar libremente en base a las especificaciones requeridas mediante cualquier técnica de diseño clásica [32].…”

Section: Asignación Finita Del Espectro (Fsa)unclassified

Controladores digitales basados en predictor para sistemas con retardos variables en el tiempo

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Feedback stabilization of linear systems with delayed control

Cited by 449 publications

References 9 publications

Sampled Data Robust Control of an Under-Actuated Electromechanical System with Input Delay

Sampled Data Robust Control of an Under-Actuated Electromechanical System with Input Delay

Stabilization of linear systems with distributed input delay using reduction transformation

Controladores digitales basados en predictor para sistemas con retardos variables en el tiempo

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