Adaptive control of bilinear systems with bounded disturbances, and its application

Ye, Jin; Sun, Xi; Fang, Chuan

doi:10.1016/0967-0661(96)00072-x

Cited by 8 publications

(9 citation statements)

References 6 publications

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“…The simplified model in Section 2.2 is used for adaptive control development so as to track desired combustion timing by stabilizing the bilinear dynamics related to the combustion timing. The controller is design based on the adaptive control strategy for bilinear systems .…”

Section: Control Developmentmentioning

confidence: 99%

“…For the purpose of adaptive control law development, a simplified bilinear parametric model for a rebreathing HCCI engine is first presented. Adaptive control technique for bilinear systems is then applied for the control design and stability analysis. On the basis of the full‐order model in , we illustrate that the designed adaptive controller, despite all the simplifications being made in the control design process, is able to produce RBL commands that drive the combustion timing to the desired set point by stabilizing the bilinear dynamics when plant parameters such as exhaust runner wall temperature, cylinder charge temperature, and compositions are changing with time.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 3.1, we use the simplified parametric model in Section 2.2 for adaptive control development so as to track desired combustion timing by stabilizing the bilinear dynamics related to the combustion timing. Convergence of the tracking error is proved in Section 3.2 based on . In Section 4, we show closed‐loop simulations with the adaptive controller developed in Section 3 applied to the full‐order model in .…”

Section: Introductionmentioning

confidence: 99%

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Adaptive control of homogeneous charge compression ignition engines

Chiang

Chou

Lin

2013

Adaptive Control & Signal

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This paper presents an adaptive controller, which maintains consistent ignition timing control of a gasoline homogeneous charge compression ignition engine with high dilution in the presence of uncertainty or unknown variation in plant parameters such as exhaust runner wall temperature and cylinder charge properties. The control of the combustion timing is based on manipulating the charge temperature through internal dilution, which is achieved by controlling the lift of a secondary opening of the exhaust valves, also known as the rebreathing lift. The adaptive controller is designed on the basis of a simplified bilinear parametric model, which contains only the cycle-to-cycle combustion timing dynamics. Implementation of the designed adaptive controller involves feedforward of the injected fuel and feedback of the combustion timings CA 50 and CA 90 when 50% and 90% of energy are released, respectively, which alleviates the impact of inevitable errors in estimation of in-cylinder charge properties such as temperature, pressure, and compositions. It is shown through convergence analysis and closed-loop simulation of a full-order engine model that the adaptive controller is able to drive the combustion timing CA 50 to desired set points by stabilizing the bilinear dynamics when plant parameters are changing.

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Section: Control Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive control of homogeneous charge compression ignition engines

Chiang

Chou

Lin

2013

Adaptive Control & Signal

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“…Cho and Marcus (1987) discussed a ® rst-order bilinear adaptive controller and gave its stability proof. Jin et al (1996) put forward an adaptive controller for bilinear systems with bounded disturbances where its closed loop stability is proved and the upper bound of the control error given. He and Gibbard (1997) described an adaptive bilinear controller that incorporates the inherent nonlinearities of the system in its control law and gave its theoretical proof of convergence.…”

Section: Introductionmentioning

confidence: 99%

Design of an adaptive control of bilinear system with guaranteed stability

Jiya¹,

Shao²,

Chai³

1999

International Journal of Systems Science

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The design of an adaptive bilinear control system and its application to a class of combustion process is described. Its closed loop stability is guaranteed and proved with respect to bounded disturbances and modelling errors. The adaptive controller is applied to control a class of combustion process with one input (¯ow of air) and one output (oxygen content), which is di cult to control due to its nonlinearity.Numerical simulation results show that the bilinear adaptive controller has satisfactory performance.

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“…The main difference between this kind of model and the Volterra approach is that crossed products between inputs and outputs appear in the model. Bilinear models have been successfully used to model and control heat exchangers, distillation columns, chemical reactors, waste treatment plants, and pH neutralisation reactors [16]. It has been demonstrated that this type of model can be represented by a Volterra series [23].…”

Section: Volterra Modelsmentioning

confidence: 99%

Nonlinear Model Predictive Control: An Introductory Review

Camacho

Bordons

Lecture Notes in Control and Information Sciences

102

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Linear and Nonlinear Model Predictive ControlModel Predictive Control (mpc) originated in the late seventies and has developed considerably since then. The term Model Predictive Control does not designate a specific control strategy but rather an ample range of control methods which make explicit use of a model of the process to obtain the control signal by minimizing an objective function. The ideas, appearing in greater or lesser degree in the predictive control family, are basically the explicit use of a model to predict the process output at future time instants (horizon), the calculation of a control sequence minimizing an objective function and the use of a receding strategy, so that at each instant the horizon is displaced towards the future, which involves the application of the first control signal of the sequence calculated at each step.The success of mpc is due to the fact that it is perhaps the most general way of posing the control problem in the time domain. The use a finite-horizon strategy allows the explicit handling of process and operational constraints by the mpc. . A dynamic process model is explicitly used in both algorithms (impulse response in the first and step response in the second) to predict the effect of the future control actions at the output; these are determined by minimizing the predicted error subject to operational restrictions. The optimization is repeated at each sampling period with up-to-date information about the process. These formulations were heuristic and algorithmic and took advantage of the increasing potential of digital computers at the time.mpc quickly became popular, particularly in chemical process industries, due to the simplicity of the algorithm and to the use of the impulse or step response model which, although possessing many more parameters than the formulations

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Adaptive control of bilinear systems with bounded disturbances, and its application

Cited by 8 publications

References 6 publications

Adaptive control of homogeneous charge compression ignition engines

Adaptive control of homogeneous charge compression ignition engines

Design of an adaptive control of bilinear system with guaranteed stability

Nonlinear Model Predictive Control: An Introductory Review

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