Controller synthesis for multivariable nonlinear nonminimum-phase processes

Niemiec, M.; Kravaris, Costas

doi:10.1109/acc.1998.702992

Cited by 11 publications

(7 citation statements)

References 9 publications

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“…To verify the effectiveness of this controller, it is applied to a nonisothermal continuous stirred tank reactor (CSTR) system [14]. The chemical reaction process is as follows:…”

Section: Application In Chemical Reaction Processmentioning

confidence: 99%

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A nonlinear control method of multi-input multi-output nonlinear non-minimum phase system

Qian

Wang

et al. 2015

2015 34th Chinese Control Conference (CCC)

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State feedback linearization control method for nonlinear systems based on differential geometry method is still an important area of research. In the process of linearizing the nonlinear system by differential homeomorphism transformation, the original nonlinear systems can be divided into two parts: the external dynamics described by linear subsystem and the internal dynamics (namely zero dynamics) described by nonlinear subsystem. For non-minimum phase systems whose zero dynamics are instable, the traditional controller is difficult to guarantee the stability of zero dynamics although it can make the external dynamics meet some performance requirements. Therefore, characters of non-minimum phase make the feedback linearization method based on differential geometry face enormous challenges. For this reason, a nonlinear control method for multi-input multi-output (M IM O) nonlinear non-minimum phase systems is provided in this paper, it can guarantee the stability of the zero dynamics while meeting the performance requirements of external dynamics. Finally, this method is applied to isothermal continuous stirred tank reactor (CSTR) non-minimum phase system, and the simulation results verify the effectiveness of the proposed method.

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“…To verify the effectiveness of this controller, it is applied to a nonisothermal continuous stirred tank reactor (CSTR) system [14]. The chemical reaction process is as follows:…”

Section: Application In Chemical Reaction Processmentioning

confidence: 99%

“…Compared to the state feedback controller using synthetic output from [14], it can shorten the regulating time a lot. Last but not least, it can be easily designed and applied to engineering process conveniently.…”

Section: Fig5 Regulation Of Input Q Hmentioning

confidence: 99%

A nonlinear control method of multi-input multi-output nonlinear non-minimum phase system

Qian

Wang

et al. 2015

2015 34th Chinese Control Conference (CCC)

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“…A widely used differential geometric control method is input-output linearization, which cannot be used to operate a process at a NMP steady state. Efforts to make input-output linearization applicable to processes with a NMP steady state include the use of equivalent output(s) for the controller design [4], coordinated control [5], controller design by inverting the minimum-phase part [6,7], and approximate input-output linearization [8,9]. This study was supported by the National Science Foundation Grant CTS-0101133.…”

Section: Introductionmentioning

confidence: 99%

Control of non-minimum-phase nonlinear systems through constrained input-output linearization

Panjapornpon

Soroush

2006

2006 American Control Conference

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This paper presents a novel control method that provides optimal output-regulation with guaranteed closedloop asymptotic stability within an assessable domain of attraction. The closed-loop stability is ensured by requiring state variables to satisfy a hard, second-order Lyapunov constraint. Whenever input-output linearization alone cannot ensure asymptotic closed-loop stability, the closed-loop system evolves while being at the hard constraint. Once the closed-loop system enters a state-space region in which input-output linearization can ensure asymptotic stability, the hard constraint becomes inactive. Consequently, the nonlinear control method is applicable to stable and unstable processes, whether non-minimum-or minimum-phase. The control method is implemented on a chemical reactor with multiple steady states, to show its application and performance.

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“…While in model-predictive control nonminimum-phase behavior is handled simply by using larger prediction horizons, in differential geometric control special treatment is necessary. In the latter, advances first made for unconstrained, minimum-phase (MP) processes have been extended to unconstrained nonminimum-phase (NMP) processes. − Those based on factorization of the process model 3,4 and equivalent outputs 5,6 are limited to single-input single-output, NMP processes. Others are applicable to multiinput multioutput (MIMO) processes, whether MP or NMP. ,− However, either sets of partial differential equations must be solved 8-10 or the process is subject to restrictions. − Furthermore, input constraints and deadtimes are not considered during controller design for these MIMO processes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Controller Design for Input-Constrained, Multivariable Processes

Kanter

Soroush

Seider

2001

Ind. Eng. Chem. Res.

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Nonlinear control laws are presented for input-constrained, multiple-input, multiple-output processes, whether their delay-free part is minimum or nonminimum phase. This study addresses the nonlinear control of input-constrained processes by exploiting the connections between modelpredictive control and input-output linearization. The continuous-time control laws involve the solution of constrained optimization problems online. They minimize the error between controlled outputs and their reference trajectories, subject to the input constraints. Their application and performance are illustrated using numerical simulation of two chemical reactors that exhibit nonminimum-phase behavior.

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Controller synthesis for multivariable nonlinear nonminimum-phase processes

Cited by 11 publications

References 9 publications

A nonlinear control method of multi-input multi-output nonlinear non-minimum phase system

A nonlinear control method of multi-input multi-output nonlinear non-minimum phase system

Control of non-minimum-phase nonlinear systems through constrained input-output linearization

Nonlinear Controller Design for Input-Constrained, Multivariable Processes

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