Finite-Spectrum Assignment for Time-Delay Systems

Wang, Qingguo; Lee, Tong Heng; Tan, Kok Kiong

doi:10.1007/978-1-84628-531-8

Cited by 71 publications

(51 citation statements)

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“…(b) Dead-time compensation techniques (DTC), with the aim to eliminate the delay from the characteristic equation by incorporating some sort of "prediction". Two classical approaches are worth mentioning : Smith Predictor Smith (1959), Palmor (1996), Normey-Rico and Camacho (2007) (for time-constant delays) and the so-called finite spectrum assignment (FSA), Manitius and Olbrot (1979), Wang et al (1998), Yue. (2005, Zhong (2006).…”

Section: Introductionmentioning

confidence: 99%

Robustness analysis of discrete predictor-based controllers for input-delay systems

González

Sala

Garcia

et al. 2013

International Journal of Systems Science

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In this paper, robustness to model uncertainties are analyzed in the context of discrete predictor-based statefeedback controllers for discrete-time input-delay systems with time-varying delay, in an LMI framework.The goal is comparing robustness of predictor-based strategies with respect to other (sub)optimal state feedback ones. A numerical example illustrates that improvements in tolerance to modelling errors can be achieved by using the predictor framework.

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Section: Introductionmentioning

confidence: 99%

Robustness analysis of discrete predictor-based controllers for input-delay systems

González

Sala

Garcia

et al. 2013

International Journal of Systems Science

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“…Basic building blocks of this controller are the celebrated Smith Predictor Smith (1959) the finite spectrum assignment controller (FSA) Wang et al (1999) and Manitius & Olbrot (1979) and the adaptive controller developed by Ortega & Lozano (1988) and Niculescu & Annaswamy (2003). APC has proved to be a powerful candidate for time-delay systems control both in simulation and experimental works.…”

Section: Introductionmentioning

confidence: 99%

“…One exception to this rule is the implementation of the finite spectrum assignment (FSA) controller. It is shown in Wang et al (1999) that, as the sampling frequency increases, the phase margin of the FSA controller decreases. A remedy to this problem is provided in Mondie & Michiels (2003).…”

Section: Introductionmentioning

confidence: 99%

On the Discrete Adaptive Posicast Controller

Abidi

Yıldız

2015

IFAC-PapersOnLine

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In this paper, we present the discrete version of the Adaptive Posicast Controller (APC) that deals with parametric uncertainties in systems with input time-delays. The continuous-time APC is based on the Smith Predictor and Finite Spectrum Assignment with time-varying parameters adjusted online. Although the continuous-time APC showed dramatic performance improvements in experimental studies with internal combustion engines, the full benefits could not be realized since the finite integral term in the control law had to be approximated in computer implementation. It is shown in the literature that integral approximation in time-delay compensating controllers degrades the performance if care is not taken. In this work, we present a development of the APC in the discrete-time domain, eliminating the need for approximation. In essence, this paper attempts to present a unified development of the discrete-time APC for systems that are linear with known/unknown input time-delays. Performances of the continuous-time and discrete-time APC, as well as conventional Model Reference Adaptive Controller (MRAC) for linear systems with known time-delay are compared in simulation studies. It is shown that discrete-time APC outperforms its continuoustime counterpart and MRAC. Further simulations studies are also presented to show the performance of the design for systems with uncertain time-delay.

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“…An effective way to compensate the destabilizing effect of feedback delays is the application of model predictive controllers such as the celebrated Smith predictor (Smith, 1957) and its modifications (Palmor, 2000), the prediction based on optimal control (Kleinman, 1969), the finite spectrum assignment (Manitius and Olbrot, 1979;Wang et al, 1999;Jankovic, 2009), the reduction approach (Arstein, 1982) or the predictive pole-placement control (Gawthrop and Ronco, 2002). The main idea behind model predictive controllers is that the feedback delay is eliminated from the control loop using a prediction of the actual state based on an internal model of the plant.…”

Section: Introductionmentioning

confidence: 99%

On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment

Molnár

Insperger

2014

Journal of Vibration and Control

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An application of the finite spectrum assignment (FSA) control technique is presented for unstable systems with feedback delay. The FSA controller predicts the actual state of the system over the delay period using an internal model of the real system. If the internal model is perfectly accurate then the feedback delay can be compensated. However, parameter mismatches of the internal model or implementation inaccuracies of the control law may result in an unstable control process. In this paper, stabilizability of an undamped second-order system is analyzed for different system and delay parameter mismatches. Theoretical stability and robustness to implementation inaccuracies of the control law are discussed. It is shown that, for small parameter uncertainties, the FSA controller allows stabilization for significantly larger feedback delays than conventional delayed proportional-derivative-acceleration controllers do.

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Finite-Spectrum Assignment for Time-Delay Systems

Cited by 71 publications

References 0 publications

Robustness analysis of discrete predictor-based controllers for input-delay systems

Robustness analysis of discrete predictor-based controllers for input-delay systems

On the Discrete Adaptive Posicast Controller

On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment

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