PID Stabilization of MIMO Plants

Gündeş, A.N.; Özgüler, A.B.

doi:10.1109/tac.2007.902763

Cited by 24 publications

(11 citation statements)

References 11 publications

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“…What's more, as the lemma-2 mentioned in Gundes and Ozguler 17 if plant G can admit a subset of a PID controller where at least one of the three constants K p , K d , and K i is nonzero as in equation ( 2), then G can also admit a PID controller so that any two or all of the three constants are nonzero, where the integral constant K i can be nonzero only if G has no transmission zeros at s ¼ 0. As an extreme form of MIMO, the servo plant which is strongly stabilizable and has no transmission zeros at s ¼ 0, can admit the above lemma.…”

Section: Pid Parameter's Role In Control Processmentioning

confidence: 92%

“…Cubic equivalent using real coefficient can also be expressed using roots as (I) and (II) of equation (17).…”

Section: Feedback Gains Of Imposed Axesmentioning

confidence: 99%

“…There are many new methods and attempts made in the field of MIMO PID controller parameter tuning, such as closed-pole assignment method, 5 dynamics relative iterative method, 13 IMC method, 14 direct synthesis method, 15 loop transfer recovery method, 16 intelligent methods, etc. Gu¨ndesa nd Ozguler 17 gave sufficient conditions for PID stabilizability of MIMO plant. Nie et al 18 developed a single-iteration strategy to design controllers loop by loop for a two-input and two-output process.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A new method using pole placement technique to tune multi-axis PID parameter for matched servo dynamics

Gao

Tao

Mei

et al. 2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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A new method which employs pole placement technique of modern control theory to tune proportional-integralderivative parameter for simultaneously achieving multi-axis matched dynamics and single axis stability is addressed in this article. This method has the advantage of simplicity in tuning, intuition in principle, and easy in program. Four different cascade proportional-integral-derivative control structures are investigated for applying the matching method appropriately and better understanding of its limitation. The deduction that the feedback gain ratios of position to speed loop of the same type interpolation axes imposed with the same desired poles are approximately equal is obtained. Experimental results show that the servo feed system designed or tuned by the proposed method can easily achieve matched dynamics. Furthermore, this method can be also employed to multi-axis motion system which is composed with both linear and rotating axes.

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Section: Pid Parameter's Role In Control Processmentioning

confidence: 92%

“…Cubic equivalent using real coefficient can also be expressed using roots as (I) and (II) of equation (17).…”

Section: Feedback Gains Of Imposed Axesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A new method using pole placement technique to tune multi-axis PID parameter for matched servo dynamics

Gao

Tao

Mei

et al. 2012

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Besides, Su et al [ 15 ] applied the method of Han proposed for controlling of manipulator successfully. Gundes and Ozguler [ 16 ] investigated the problem of closed-loop stabilization using PID controller for MIMO plants to show the existence of stabilizing PID controllers for MIMO plants. Alvarez-Ramirez et al [ 17 ] addressed the position regulation problem of robot manipulators under control input constraints and experiment results showed that the saturated linear PID control was semiglobally asymptotically stable.…”

Section: Literature Reviewmentioning

confidence: 99%

Development of a GA-Fuzzy-Immune PID Controller with Incomplete Derivation for Robot Dexterous Hand

Xin-hua

Chen

Zheng

et al. 2014

The Scientific World Journal

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In order to improve the performance of robot dexterous hand, a controller based on GA-fuzzy-immune PID was designed. The control system of a robot dexterous hand and mathematical model of an index finger were presented. Moreover, immune mechanism was applied to the controller design and an improved approach through integration of GA and fuzzy inference was proposed to realize parameters' optimization. Finally, a simulation example was provided and the designed controller was proved ideal.

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“…Proportional integral derivative (PID) control is one of the most commonly used control methods in various fields. Since 1942, researchers have put forward many PID control methods [21,22]. However, the controlled object generally has great uncertainty or complex nonlinearity in practical applications.…”

Section: Introductionmentioning

confidence: 99%

Design of a Predictive RBF Compensation Fuzzy PID Controller for 3D Laser Scanning System

Zhao

Yang

et al. 2020

Applied Sciences

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A new proportional integral derivative (PID) control method is proposed for the 3D laser scanning system converted from 2D Lidar with a pitching motion device. It combines the advantages of a fuzzy algorithm, a radial basis function (RBF) neural network and a predictive algorithm to control the pitching motion of 2D Lidar quickly and accurately. The proposed method adopts the RBF neural network and feedback compensation to eliminate the unknown nonlinear part in the Lidar pitching motion, adaptively adjusting the PID parameter by a fuzzy algorithm. Then, the predictive control algorithm is adopted to optimize the overall controller output in real time. Finally, the simulation results show that the step response time of the Lidar pitching motion system using the control method is reduced from 15.298 s to 1.957 s with a steady-state error of 0.07°. Meanwhile, the system still has favorable response performance for the sinusoidal and step inputs under model mismatch and large disturbance. Therefore, the control method proposed above can improve the system performance and control the pitching motion of the 2D Lidar effectively.

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PID Stabilization of MIMO Plants

Cited by 24 publications

References 11 publications

A new method using pole placement technique to tune multi-axis PID parameter for matched servo dynamics

A new method using pole placement technique to tune multi-axis PID parameter for matched servo dynamics

Development of a GA-Fuzzy-Immune PID Controller with Incomplete Derivation for Robot Dexterous Hand

Design of a Predictive RBF Compensation Fuzzy PID Controller for 3D Laser Scanning System

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