Energy Optimization of the Continuous-Time Perfect Control Algorithm

Krok, Marek; Majewski, Paweł; Hunek, Wojciech P.; Feliks, Tomasz

doi:10.3390/en15041555

Cited by 3 publications

(8 citation statements)

References 35 publications

(40 reference statements)

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“…One of the considered approaches is the Continuous-Time Perfect Control (CTPC), which fits into the paradigm of the Inverse Model Control (IMC) systems [ 15 ]. The aforementioned perfect algorithm, developed for both discrete- and continuous-time systems, has already been supported by numerous publications, which confirms its significant implementation potential [ 15 , 16 , 17 , 18 ]. The significant merit involves obtaining a reference value in an extremely short time.…”

Section: Introductionmentioning

confidence: 85%

“…Although the CTP control allows for the use of various generalized inverses for non-square matrices, it is suggested to use the previously mentioned σ-inverse, which by implementing the degrees of freedom matrix β makes it possible, e.g., to reduce the energy of the control signal [ 18 ].…”

Section: Preliminariesmentioning

confidence: 99%

“…One of the approaches to achieve this is the selection of appropriate values of the degrees of freedom in some inverse process (see Remark 2). In some cases, it is possible to reduce the control energy even by 80% according to the following performance index [ 18 ]:

…”

Section: The Real Continuous-time Perfect Controlmentioning

confidence: 99%

“…On the other hand, it requires high-energy injection, which means that it may not be feasible for some class of systems, especially those with high inertia. Nevertheless, studies have shown that, in non-square plants, it is possible to reduce the said energy injection even up to 80% in the context of an appropriate choice of so-called degrees of freedom emerging in a properly selected inverse [ 18 ]. Moreover, it is possible to select good control parameters for the selected operating point while maintaining low energy consumption and high accuracy [ 9 , 15 , 18 , 19 , 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, studies have shown that, in non-square plants, it is possible to reduce the said energy injection even up to 80% in the context of an appropriate choice of so-called degrees of freedom emerging in a properly selected inverse [ 18 ]. Moreover, it is possible to select good control parameters for the selected operating point while maintaining low energy consumption and high accuracy [ 9 , 15 , 18 , 19 , 20 , 21 , 22 ]. However, the reduction mentioned here, even at the level of ten percent, may not be sufficient for some systems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain

Majewski

Hunek

Pawuś

et al. 2023

Sensors

Self Cite

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The recently introduced continuous-time perfect control algorithm has revealed a great potential in terms of the maximum-speed and maximum-accuracy behaviors. However, the discussed inverse model-originated control strategy is associated with considerable energy consumption, which has exceeded a technological limitation in a number of industrial cases. In order to prevent such an important drawback, several solutions could be considered. Therefore, an innovative perfect control scheme devoted to the multivariable real-life objects is investigated in this paper. Henceforth, the new IMC-related approach, strongly supported by the vital sensor-aided system, can successfully be employed in every real-time engineering task, where the precision of conducted processes plays an important role. Theoretical and practical examples strictly confirm the big implementation potential of the new established method over existing ones. It has been seen that the new perfect control algorithm outperforms the classical control law in the form of LQR (considered in two separate ways), which is clearly manifested by almost all simulation examples. For instance, in the case of the multi-tank system, the performance indices ISE, RT, and MOE for LQR without an integration action have been equal to 2.431, 2.4×102, and 3.655×10−6, respectively, whilst the respective values 1.638, 1.58×102, and 1.514×10−7 have been received for the proposed approach.

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Section: Introductionmentioning

confidence: 85%

Section: Preliminariesmentioning

confidence: 99%

…”

Section: The Real Continuous-time Perfect Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain

Majewski

Hunek

Pawuś

et al. 2023

Sensors

Self Cite

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Application of Generalized Inverses in the Minimum-Energy Perfect Control Theory

Feliks

Hunek

Stanimirović

2023

IEEE Trans. Syst. Man Cybern, Syst.

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Application of generalized inverses in solving the inverse model control (IMC)-oriented minimum-energy perfect control design (PCD) problem for linear time-invariant multi-input/multi-output systems governed by the discrete-time d-state-space structure is presented in this article. For this reason, an appropriate class of polynomial generalized inverses is investigated. Moreover, it can be stated that the nonunique right σ -inverse, based on properly selected so-called degrees of freedom (DOFs), outperforms the well-known unique Moore-Penrose (MP) minimum-norm right T-inverse in terms of the energy consumption of perfect control (PC) input signals. However, the analytical confirmation of such an intriguing statement has only been established for the special class of the single-delayed plants with a zero reference value. Moreover, because of the complexity of the IMC, the objects with a time delay d > 1 having a nonzero setpoint have never been analytically explored in regard to the PC energy context until now. Thus, the newly introduced analytical methods defined in this article allow us to designate the proper forms of σ -inverse-related DOFs that guarantee the minimum-energy PCD for the entire set of LTI multivariable nonsquare systems with the delay d ≥ 1. Moreover, the new original results, supported by numerical examples, strongly contest the well-established control and systems theory canons related to the optimal minimum-energy-originated peculiarity of the MP pseudoinverse.

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Energy-Aware Multicriteria Control Performance Assessment

Domański

2024

Energies

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Generally, control system design and the associated assessment of control system quality focuses on cutting-edge performance. Most of the approaches and applied indicators aim for this goal. However, the current times increasingly indicate the need to consider, at least on an equal level, the issue of the resistance of the control system and the energy that it consumes. Indicators for the assessment of the quality of control system operation should take these aspects into account. This study focuses on energy issues. It should be noted that, very often, an actuator device, such as a pump, motor, or actuator, consumes energy. In small single-loop systems, the share of this energy is usually negligible, but in large installations, it begins to reach significant values. This work proposes a multi-criteria assessment of the operation of control systems using information about the control signal. The energy factor can be considered in the form of a quadratic relationship or using the valve travel and valve stroke indicators known in other contexts. The index ratio diagram (IRD) approach is utilized as an energy assessment tool. At the same time, an analysis is carried out showing the impact of energy on other known indicators based on the control error. Finally, a methodology incorporating energy consumed by the control system is proposed.

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Energy Optimization of the Continuous-Time Perfect Control Algorithm

Cited by 3 publications

References 35 publications

A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain

A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain

Application of Generalized Inverses in the Minimum-Energy Perfect Control Theory

Energy-Aware Multicriteria Control Performance Assessment

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