Multivariable adaptive control of instabilities arising in jet engines

Krstić, Miroslav; Banaszuk, Andrzej

doi:10.1016/j.conengprac.2005.04.006

Cited by 28 publications

(7 citation statements)

References 13 publications

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“…For this adaptive controller, the following result holds. Theorem 1: Consider the closed-loop system consisting of the plant (2)-(4), the control law (8), and the parameter update law defined through (9)- (14). Let Assumption 1 hold.…”

Section: Delay-adaptive Predictor Feedback With Full-state Measumentioning

confidence: 99%

“…In this section we prove Theorem 1. We start by considering the transformation (14), along with its inverse…”

Section: Delay-adaptive Predictor Feedback With Full-state Measumentioning

confidence: 99%

“…The importance of problems with unknown delays was highlighted in [4], where a simple scheme for delay estimation and controller gain adjustment to preserve closed-loop stability was also presented. An attempt at adaptive design for unknown delay was also made in [14] by applying the Pade approximation, however, while the design was (predictably) successful for the approximate problem, it was not successful for a model with an actual delay of significant length.…”

Section: Introductionmentioning

confidence: 99%

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Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

Krstić

Bresch‐Pietri

2009

2009 American Control Conference

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Stabilization of unstable systems with actuator delay of substantial length and of completely unknown value is an important problem that has never been attempted. We present a Lyapunov-based adaptive control design that achieves global stability, without a requirement that the delay estimate be near the true delay value. We solve the problem by employing a framework where the actuator delay is represented as a transport PDE, by estimating the delay value as the reciprocal of the convection speed in the transport PDE, and by using full state predictor-based feedback.

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Section: Delay-adaptive Predictor Feedback With Full-state Measumentioning

confidence: 99%

“…In this section we prove Theorem 1. We start by considering the transformation (14), along with its inverse…”

Section: Delay-adaptive Predictor Feedback With Full-state Measumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

Krstić

Bresch‐Pietri

2009

2009 American Control Conference

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“…Considering the drawbacks of the traditional transient control methods, various kinds of advanced algorithms have been proposed, such as sliding mode control [11], adaptive control [12], and model predictive control (MPC) [13,14]. Among them, MPC's prediction ability as well as its capability of coping with constrained optimization problems without Min-Max structure has widely interested researchers.…”

Section: Introductionmentioning

confidence: 99%

Design of Disturbance Extended State Observer (D-ESO)-Based Constrained Full-State Model Predictive Controller for the Integrated Turbo-Shaft Engine/Rotor System

Wang

Lin

2019

Energies

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In the modern helicopter design and development process, constrained full-state control technology for turbo-shaft engine/rotor systems has always been a research hotspot in academia and industry. However, relevant references have pointed out that the traditional design method with an overly complex structure (Min-Max structure and schedule-based transient controller, i.e., M-M-STC) may not be able to meet the protection requirements of engine control systems under certain circumstances and can be too conservative under other conditions. In order to address the engine limit protection problem more efficiently, a constrained full-state model predictive controller (MPC) has been designed in this paper by incorporating a linear parameter varying (LPV) predictive model. Meanwhile, disturbance extended state observer (D-ESO) (which a sufficient convergence condition is deduced for) has also been proposed as the compensator of the LPV model to alleviate the MPC model mismatch problem. Finally, we run a group of comparison simulations with the traditional M-M-STC method to verify the effectiveness of this controller by taking compressor surge prevention problems as a case study, and the results indicate the validity of the proposed method.

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“…Until recently, the only results on adaptive control of systems with input delays dealt only with uncertain parameters in the ODE part of the system (Evesque et al 2003, Ortega and Lozano 1988 but not with uncertainty in the delay value itself. The importance of designing adaptive controllers for unknown delay was recognized in (Kolmanovsky et al 2001, Krstic andBanaszuk 2006), however only approximation-based ideas for limited classes of plants were dealt with. The robustness of adaptive backstepping control for linear ODEs to dynamic perturbations that include input delay was studied in (Zhou et al 2008), however the nominal system did not involve delay and the delay was not estimated nor compensated by the controller.…”

Section: Introductionmentioning

confidence: 99%

Adaptive trajectory tracking despite unknown input delay and plant parameters

2009

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In a recent paper we presented the first adaptive control design for an ODE system with a possibly large actuator delay of unknown length. We achieved global stability under full state feedback. In this paper we generalize the design to the situation where, besides the unknown delay value, the ODE also has unknown parameters, and where trajectory tracking (rather than equilibrium regulation) is pursued.

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Multivariable adaptive control of instabilities arising in jet engines

Cited by 28 publications

References 13 publications

Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

Design of Disturbance Extended State Observer (D-ESO)-Based Constrained Full-State Model Predictive Controller for the Integrated Turbo-Shaft Engine/Rotor System

Adaptive trajectory tracking despite unknown input delay and plant parameters

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