PID Control of Multivariable Systems

Díaz-Rodríguez, Iván D.; Han, Sangjin; Bhattacharyya, S.P.

doi:10.1007/978-3-030-18228-1_8

Cited by 8 publications

(4 citation statements)

References 7 publications

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“…as depicted in Figure 3, the controller C SM (s) can be designed specifically for the diagonal plant P SM (s). By imposing C SM (s) to be also diagonal, the decoupling of the inputs and outputs is accomplished (see [5] for more details).…”

Section: Smith-mcmillan Form Based Decoupling Methodsmentioning

confidence: 99%

“…The transfer matrices are calculated analytically and full decoupling of the plant transfer matrix is obtained for all frequencies. In addition, in [5], [4] the conditions for the properness of the final controller (diagonal controller and decoupling compensator) are obtained. Furthermore, it is shown that if the output signals track the reference signals for the decoupled system, then reference tracking is also guaranteed for the plant with the decoupling compensator and the designed controller.…”

Section: Introductionmentioning

confidence: 99%

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On the Use of the Smith-McMillan Form in Decoupling System Dynamics

Barros

Butler

Tóth

2021

2021 American Control Conference (ACC)

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In this paper, the use of the Smith-McMillan form in decoupling multiple-input multiple-output system dynamics is analyzed. In short, from a transfer matrix plant model one can obtain a decoupling compensator which leads to a decoupled plant that contains the same transmission poles and zeros of the transfer matrix of the original system. As a result, full decoupling of the plant transfer matrix is obtained for all frequencies, which can be individually addressed by single-input single-output control. The aim of this paper is to present conditions for the decoupled system that guarantee internal stability and performance requirements for the overall control system. Performance specifications are defined in terms of magnitude limits for the maximum singular value of the closed-loop transfer matrices. The potential of the decoupling procedure is shown in a simulation study of a mechanical system.

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Section: Smith-mcmillan Form Based Decoupling Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Use of the Smith-McMillan Form in Decoupling System Dynamics

Barros

Butler

Tóth

2021

2021 American Control Conference (ACC)

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“…In order to tune this PI controller, the signature method 50 was applied to the linearized closed loop equations, leading to a stabilizing set of controller parameters, within which the controller was tuned. The PI controller parameters are listed in Table 1 .…”

Section: Cstr Modelmentioning

confidence: 99%

Model-Based Fault Diagnosis and Fault Tolerant Control for Safety-Critical Chemical Reactors: A Case Study of an Exothermic Continuous Stirred-Tank Reactor

Du,

Venkidasalapathy,

Venkateswaran

et al. 2023

Ind. Eng. Chem. Res.

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In safety-critical chemical reactors with potential hazards, reaction kinetics and heat transfer parameters are usually known, and a mathematical model is available. It is then meaningful to base fault detection and isolation algorithms on the first-principles model as opposed to statistics, so that physically meaningful residual signals are generated from material and/or energy balances not closing, leading to reliable fault diagnosis. Additionally, to maintain the safety of the entire system, it is necessary to take appropriate control action based on the mathematical model and the identified faults, to minimize their impact and thus ensure safe operation. In the present work, these ideas will be formulated and illustrated through a continuous stirred-tank reactor case study involving the liquid-phase oxidation of alkylpyridine with hydrogen peroxide. The proposed fault tolerant control strategy monitors the DSM (distance of the system state from the boundary of the dynamic safe set) and the estimate of the fault size, and when they cross a certain limit as a result of an abnormal event, the manipulated input is switched. Simulation results show the effectiveness of the proposed fault tolerant control strategy in dealing with cooling system failure.

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“…However, when there is a time-delay element in the MIMO systems, reverse decoupling cannot guarantee the system’s stability. In addition, researchers have used intelligent algorithms for MIMO systems and proposed various intelligent decoupling algorithms [ 8 , 9 , 10 , 11 , 12 ]. However, because the design of this kind of method is difficult to understand and the controller is complicated, it is difficult for engineers to adopt.…”

Section: Introductionmentioning

confidence: 99%

Robust Controller Design for Multi-Input Multi-Output Systems Using Coefficient Diagram Method

Meng

et al. 2021

Entropy

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The coupling between variables in the multi-input multi-output (MIMO) systems brings difficulties to the design of the controller. Aiming at this problem, this paper combines the particle swarm optimization (PSO) with the coefficient diagram method (CDM) and proposes a robust controller design strategy for the MIMO systems. The decoupling problem is transformed into a compensator parameter optimization problem, and PSO optimizes the compensator parameters to reduce the coupling effect in the MIMO systems. For the MIMO system with measurement noise, the effectiveness of CDM in processing measurement noise is analyzed. This paper gives the control design steps of the MIMO systems. Finally, simulation experiments of four typical MIMO systems demonstrate the effectiveness of the proposed method.

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PID Control of Multivariable Systems

Cited by 8 publications

References 7 publications

On the Use of the Smith-McMillan Form in Decoupling System Dynamics

On the Use of the Smith-McMillan Form in Decoupling System Dynamics

Model-Based Fault Diagnosis and Fault Tolerant Control for Safety-Critical Chemical Reactors: A Case Study of an Exothermic Continuous Stirred-Tank Reactor

Robust Controller Design for Multi-Input Multi-Output Systems Using Coefficient Diagram Method

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