Design of a Backstepping Tracking Controller for a Class of Linear Systems with Actuator Delay

Liao, Yonglong; Liao, Fang

doi:10.1155/2015/160542

Cited by 6 publications

(6 citation statements)

References 21 publications

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“…The non‐linear dynamical system can be stabilised by applying the back‐stepping control mechanism through the reduction of higher order system to low‐order system in a recursive fashion. The major advantage of the back‐stepping controller is its ability to handle the useful non‐linearities of the system, but such mechanisms are not immune to structural variations and plant disturbances during the regulation of hypnosis in a closed‐loop pattern [ 19 ]. The main challenges faced during the regulation of hypnosis to ensure safe surgery are inter‐patient variability and intra‐patient variability in automated anaesthesia infusion.…”

Section: Introductionmentioning

confidence: 99%

Hypnosis regulation in propofol anaesthesia employing super‐twisting sliding mode control to compensate variability dynamics

et al. 2020

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Regulation of hypnosis level on bi‐spectral index monitor (BIS) during a surgical procedure in propofol anaesthesia administration is a challenging task for an anaesthesiologist in multi‐tasking environment of the operation theater. Automation in anaesthesia has the potential to solve issues arising from manual administration. Automation in anaesthesia is based on developing the three‐compartmental model including pharmacokinetics and pharmacodynamic of the silico patients. This study focuses on regulation of the hypnosis level in the presence of surgical stimulus including skin incision, surgical diathermy and laryngoscopy as well as inter‐patient variability by designing super‐twisting sliding mode control (STSMC). The depth of the hypnosis level is maintained to 50 on the BIS level in the maintenance phase after improving the induction phase to 60 s using the conventional sliding mode control and 30 s with STSMC. The proposed scheme also compensates the inter‐patient variability dynamics including height, age and weight of the different silico patients. Moreover, the surgical stimuli direct the hypnosis level towards the state of consciousness and stimulate the controller to provide continuous drug infusion during the interval 80–90 s. Simulation results witness that the oscillatory behaviour is observed in drug infusion to ensure the moderate level of hypnosis (40–60) for general surgery.

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Section: Introductionmentioning

confidence: 99%

Hypnosis regulation in propofol anaesthesia employing super‐twisting sliding mode control to compensate variability dynamics

et al. 2020

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“…It is a recursive control algorithm used for stabilizing nonlinear dynamical system. Here, the high-order system is reduced to lower-order system [ 49 ]. This method shows that output tracks the desired reference level of hypnosis during surgery.…”

Section: Propofol Infusion With Linear and Nonlinear Control Schemmentioning

confidence: 99%

A Review of Modern Control Strategies for Clinical Evaluation of Propofol Anesthesia Administration Employing Hypnosis Level Regulation

Ilyas

Butt

Bilal

et al. 2017

BioMed Research International

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Regulating the depth of hypnosis during surgery is one of the major objectives of an anesthesia infusion system. Continuous administration of Propofol infusion during surgical procedures is essential but it unduly increases the load of an anesthetist working in a multitasking scenario in the operation theatre. Manual and target controlled infusion systems are not appropriate to handle instabilities like blood pressure and heart rate changes arising due to interpatient and intrapatient variability. Patient safety, large interindividual variability, and less postoperative effects are the main factors motivating automation in anesthesia administration. The idea of automated system for Propofol infusion excites control engineers to come up with more sophisticated systems that can handle optimum delivery of anesthetic drugs during surgery and avoid postoperative effects. A linear control technique is applied initially using three compartmental pharmacokinetic and pharmacodynamic models. Later on, sliding mode control and model predicative control achieve considerable results with nonlinear sigmoid model. Chattering and uncertainties are further improved by employing adaptive fuzzy control and H∞ control. The proposed sliding mode control scheme can easily handle the nonlinearities and achieve an optimum hypnosis level as compared to linear control schemes, hence preventing mishaps such as underdosing and overdosing of anesthesia.

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“…This design procedure proves to be a powerful and effective tool which can be applied to a wide class of nonlinear systems operating in uncertain environment. It is a systematic Lyapunov method to design control algorithms which stabilize nonlinear systems [ 22 ].…”

Section: Pharmacokinetics-pharmacodynamics Modelingmentioning

confidence: 99%

“…Backstepping is a recursive design procedure used for designing stabilizing control for the class of nonlinear dynamical systems. This nonlinear control strategy consists of dividing a whole design problem into sequence of small problems of lower order [ 22 ]. This method ensures that the output tracks the desired reference signal during surgery to avoid complexities.…”

Section: Control Law Designmentioning

confidence: 99%

Control Law Design for Propofol Infusion to Regulate Depth of Hypnosis: A Nonlinear Control Strategy

Khaqan

Bilal

Ilyas

et al. 2016

Computational and Mathematical Methods in Medicine

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Maintaining the depth of hypnosis (DOH) during surgery is one of the major objectives of anesthesia infusion system. Continuous administration of Propofol infusion during surgical procedures is essential but increases the undue load of an anesthetist in operating room working in a multitasking setup. Manual and target controlled infusion (TCI) systems are not good at handling instabilities like blood pressure changes and heart rate variability arising due to interpatient variability. Patient safety, large interindividual variability, and less postoperative effects are the main factors to motivate automation in anesthesia. The idea of automated system for Propofol infusion excites the control engineers to come up with a more sophisticated and safe system that handles optimum delivery of drug during surgery and avoids postoperative effects. In contrast to most of the investigations with linear control strategies, the originality of this research work lies in employing a nonlinear control technique, backstepping, to track the desired hypnosis level of patients during surgery. This effort is envisioned to unleash the true capabilities of this nonlinear control technique for anesthesia systems used today in biomedical field. The working of the designed controller is studied on the real dataset of five patients undergoing surgery. The controller tracks the desired hypnosis level within the acceptable range for surgery.

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Design of a Backstepping Tracking Controller for a Class of Linear Systems with Actuator Delay

Cited by 6 publications

References 21 publications

Hypnosis regulation in propofol anaesthesia employing super‐twisting sliding mode control to compensate variability dynamics

Hypnosis regulation in propofol anaesthesia employing super‐twisting sliding mode control to compensate variability dynamics

A Review of Modern Control Strategies for Clinical Evaluation of Propofol Anesthesia Administration Employing Hypnosis Level Regulation

Control Law Design for Propofol Infusion to Regulate Depth of Hypnosis: A Nonlinear Control Strategy

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