Static and low order anti-windup synthesis for cascade control systems with actuator saturation: An application to temperature-based process control

Rehan, Muhammad; Ahmed, Aftab; Iqbal, Naeem

doi:10.1016/j.isatra.2010.03.003

Cited by 22 publications

(11 citation statements)

References 13 publications

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“…For this purpose, again consider system (20), but in an alternative form given by

\begin{matrix} \frac{d e}{d t} = A e + A_{1} e (t - τ) + [\begin{matrix} I & I & I \end{matrix}] d, \\ with d = {[\begin{matrix} {normalΨ}^{T} & {normalΘ}^{T} & {normalΦ}^{T} \end{matrix}]}^{T}, \end{matrix}

where I represents the identity matrix of appropriate dimensions. Although the asymptotic convergence of error e to zero under parametric uncertainties can be ensured by Theorem 10, the performance of the synchronization control can be improved for robustness with the help of additional constraints addressing the minimization of the effects of uncertainties in d at error e (see also [33–35]). To that end, we provide a sufficient condition for robust asymptotic synchronization of FHN neurons with robustness bound γ in terms of the L 2 gain from the uncertain nonlinearities to the error.…”

Section: Local Nonlinear Controlmentioning

confidence: 99%

Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

Rehan

Hong

2012

Computational and Mathematical Methods in Medicine

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Synchronization of chaotic neurons under external electrical stimulation (EES) is studied in order to understand information processing in the brain and to improve the methodologies employed in the treatment of cognitive diseases. This paper investigates the dynamics of uncertain coupled chaotic delayed FitzHugh-Nagumo (FHN) neurons under EES for incorporated parametric variations. A global nonlinear control law for synchronization of delayed neurons with known parameters is developed. Based on local and global Lipschitz conditions, knowledge of the bounds on the neuronal states, the Lyapunov-Krasovskii functional, and the L 2 gain reduction, a less conservative local robust nonlinear control law is formulated to address the problem of robust asymptotic synchronization of delayed FHN neurons under parametric uncertainties. The proposed local control law guarantees both robust stability and robust performance and provides the L 2 bound for uncertainty rejection in the synchronization error dynamics. Separate conditions for single-input and multiple-input control schemes for synchronization of a wide class of FHN systems are provided. The results of the proposed techniques are verified through numerical simulations.

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“…For this purpose, again consider system (20), but in an alternative form given by

\begin{matrix} \frac{d e}{d t} = A e + A_{1} e (t - τ) + [\begin{matrix} I & I & I \end{matrix}] d, \\ with d = {[\begin{matrix} {normalΨ}^{T} & {normalΘ}^{T} & {normalΦ}^{T} \end{matrix}]}^{T}, \end{matrix}

Section: Local Nonlinear Controlmentioning

confidence: 99%

Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

Rehan

Hong

2012

Computational and Mathematical Methods in Medicine

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“…The plant model is identified using an identification technique of uniformly distributed numbers similar to that in [11,12]. For system identification, uniform random numbers (at every 30 sec) are applied at the plant input and output is recorded with a sampling time of 0.1 sec as shown in Fig.…”

Section: System Description Identification and Conditioningmentioning

confidence: 99%

“…2. This input-output plot can be used to obtain the magnitude plot for system identification in a similar way described in [11,12]. Fig.…”

Section: System Description Identification and Conditioningmentioning

confidence: 99%

“…The main issues of anti-windup design and implementation are robustness, local and global stability, amplitude and rate saturation, performance, computation reduction, architecture compactness and feasibility of solution [5]. Anti-windup techniques have also been implemented for experimental setups and practical applications (see [10][11][12]). AWC designs for time-delay systems under actuator saturation are rare.…”

Section: Introductionmentioning

confidence: 99%

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Constrained control of hot air blower system under output delay using globally stable performance-based anti-windup approach

et al. 2010

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This paper describes the design and implementation of a linear controller with an Anti-Windup Compensator (AWC) for a hot air blower system having output delays, under actuator saturation constraint and noise. Traditional Anti-Windup (AW) schemes for timedelay systems are based on either local stability or global stability with performance restrictions. We modify an existing AWC architecture using a time-delay term in the compensator in order to ensure global stability and performance. It is also shown that the existing Linear Matrix Inequalities (LMIs) based optimization schemes for AWC, which are derived using the decoupled architecture and coprime factorization, can be applied to the modified AWC architecture. This modified delay independent AWC scheme is applied to a hot air blower system and practical results are discussed. This paper aims to support the industrial application of the modified AWC ensuring global stability and performance, by applying it to a hot air blower system under actuator situation and output delay as well as electrical and thermal noises.

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“…Temperature control systems are generally non-linear in nature. Such systems are controlled by both linear and nonlinear controllers [1][2][3][4]. Linear controllers are easy to design but their performance cannot be very good.…”

Section: Introductionmentioning

confidence: 99%

Regional System Identification and Computer Based Switchable Control of a Nonlinear Hot Air Blower System

Hussain¹,

Riaz²,

Rehan³

et al. 2012

2012 10th International Conference on Frontiers of Information Technology

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This paper describes the design and implementation of linear controllers with a switching condition for a nonlinear hot air blower system (HABS) process trainer PT326. The system is interfaced with a computer through a USB based data acquisition module and interfacing circuitry. A calibration equation is implemented through computer in order to convert the amplified output of the sensor to temperature. Overall plant is nonlinear; therefore, system identification is performed in three different regions depending upon the plant input. For these three regions, three linear controllers are designed with closed-loop system having small rise time, settling time and overshoot. Switching of controllers is based on regions defined by plant input. In order to avoid the effect of discontinuity, due to switching of linear controllers, parameters of all linear controllers are taken closer to each other. Finally, discretized controllers along with switching condition are implemented for the plant through computer and practical results are demonstrated. Regional System Identification; Linear Control; SwitchableControllers; Hot Air Blower System. I.

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Static and low order anti-windup synthesis for cascade control systems with actuator saturation: An application to temperature-based process control

Cited by 22 publications

References 13 publications

Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

Constrained control of hot air blower system under output delay using globally stable performance-based anti-windup approach

Regional System Identification and Computer Based Switchable Control of a Nonlinear Hot Air Blower System

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