Identification of nonlinearly parameterized nonlinear models: application to mass balance systems

Liu, Xiangbin; Su, Hongye; Chu, Jian

doi:10.1109/cdc.2009.5399817

Cited by 14 publications

(9 citation statements)

References 16 publications

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“…5 and 6, the value of β i (x) +θ i (i = 1, 2) does not converge to θ i its true value since the input signal does not satisfy persistent existing condition as has been discussed in [15]. …”

Section: Simulationmentioning

confidence: 90%

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

Hong

Liu

2015

Control Theory Technol.

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An immersion and invariance (I&I) manifold based adaptive control algorithm is presented for a class of continuous stirred tank reactors (CSTR) to realize performance-oriented control in this paper. The nonlinear contraction method is combined into the control law design to render the closed-loop CSTR system globally asymptotically stable, firstly. Then, the I&I method is used to form the adaptation law such that the off-the-manifold coordinate (the parameter estimation error) converges to zero using P-monotone property enforced by selecting tuning function in manifold. As a result, the state of the closed-loop CSTR converges to its desired value asymptotically. The simulation is given to illustrate the effectiveness of the presented algorithm.

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Section: Simulationmentioning

confidence: 90%

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

Hong

Liu

2015

Control Theory Technol.

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“…Notice that Assumption 2 of Proposition 1 in [8] is conspicuous by its absence in the proposition above. This stems from the fact that, for the scalar parameter case, this Assumption is implied by the strict monotonicity condition.…”

Section: A Immersion and Invariance Parameter Estimatorsmentioning

confidence: 95%

“…A slight variation of the main result of [8]-suitable for our objective-is given below. The interested reader is referred to this reference for the proof of the proposition, and to [7], for further details and extensions of the result.…”

Section: A Immersion and Invariance Parameter Estimatorsmentioning

confidence: 99%

“…The I&I identification technique of [8] is applied here to solve the wind estimation problem. A slight variation of the main result of [8]-suitable for our objective-is given below.…”

Section: A Immersion and Invariance Parameter Estimatorsmentioning

confidence: 99%

“…In [7], [8] a new framework to design parameter estimators and adaptive controllers for nonlinearly parameterized nonlinear systems has been proposed. The key step is the construction of a monotone mapping, which explicitly depends on some of the estimator tuning parameters.…”

Section: A Immersion and Invariance Parameter Estimatorsmentioning

confidence: 99%

See 2 more Smart Citations

A globally convergent wind speed estimator for windmill systems

Ortega

Mancilla–David

Jaramillo

2011

IEEE Conference on Decision and Control and European Control Conference

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An estimator of the wind speed of a wind turbine coupled to a generator is proposed in this paper. Wind speed enters into the generator dynamics through a highly nonlinear function, hence we are confronted with a difficult problem of estimation of a nonlinearly parameterized system. To solve this problem we use the technique of immersion and invariance, recently introduced in the literature. It is assumed that the rotor speed and electrical torque of the generator are measured, which is the case for the machines typically used in this application. The result is of interest for the design of controllers of maximum power extraction, where the knowledge of the wind speed is necessary to express the control objective as a speed tracking problem. Detailed computer simulations are presented to assess the performances of the proposed estimator and a certainty equivalent proportional plus integral controller.

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A globally convergent wind speed estimator for wind turbine systems

Ortega

Mancilla–David

Jaramillo

2012

Adaptive Control & Signal

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International audienceAn estimator of the wind speed of a wind turbine coupled to a generator is proposed in this paper. Wind speed enters into the generator dynamics through a highly nonlinear function; hence, we are confronted with a difficult problem of estimation of a nonlinearly parameterized system. To solve this problem, we use the technique of immersion and invariance, recently introduced in the literature. It is assumed that the rotor speed and electrical torque of the generator are measured, which is the case for the machines typically used in this application. The result is of interest for the design of controllers of maximum power extraction, where the knowledge of the wind speed is necessary to express the control objective as a speed tracking problem. Detailed computer simulations are presented to assess the performance of the proposed estimator

show abstract

Identification of nonlinearly parameterized nonlinear models: application to mass balance systems

Cited by 14 publications

References 16 publications

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

Immersion and invariance adaptive control of a class of continuous stirred tank reactors

A globally convergent wind speed estimator for windmill systems

A globally convergent wind speed estimator for wind turbine systems

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