scholarly journals Stability analysis of closed loop TRMS with observer based reliable H infinity controller using Kharitonov’s stability theorem

2018 ◽  
Vol 7 (2.21) ◽  
pp. 106
Author(s):  
Vidya S. Rao ◽  
V I. George ◽  
Surekha Kamath ◽  
C Shreesha
Keyword(s):  
Stability Analysis ◽  
Measurement Errors ◽  
Closed Loop ◽  
Multiple Input Multiple Output ◽  
Stability Theorem ◽  
H Infinity ◽  
Actuator Failures ◽  
Stability Bound ◽  
Input Multiple Output ◽  
Equipment Wear

The laboratory Twin Rotor Multiple Input Multiple Output System (TRMS) serving as a model of a helicopter has un modeled errors in its model, due to linearization, measurement errors, equipment wear, sensors or/and actuator failures. This mismatch is termed as uncertainties in the model. Due to sensor and actuator failure there would exist a large range of uncertainties. In this paper, the range of robust stability bound for closed loop TRMS along with observer based reliable H infinity controller using Kharitonov’s stability theorem is found. The variation in parameters of TRMS from its nominal values are shown. The Kharitonov’s stability analysis on TRMS proves that within the mentioned uncertainty limit the TRMS along with observer based reliable H infinity controller gives the closed loop stable response. 

scholarly journals Complex-Coefficient Frequency Domain Stability Analysis Method for a Class of Cross-Coupled Antisymmetrical Systems and Its Extension in MSR Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Yuan Ren ◽  
Jiancheng Fang
Keyword(s):  
Stability Analysis ◽  
Frequency Domain ◽  
Stability Criterion ◽  
Mimo System ◽  
Multiple Input Multiple Output ◽  
Complex Coefficient ◽  
Analysis Method ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Domain Stability

This paper develops a complex-coefficient frequency domain stability analysis method for a class of cross-coupled two-dimensional antisymmetrical systems, which can greatly simplify the stability analysis of the multiple-input multiple-output (MIMO) system. Through variable reconstruction, the multiple-input multiple-output (MIMO) system is converted into a single-input single-output (SISO) system with complex coefficients. The pole locations law of the closed-loop system after the variable reconstruction has been revealed, and the controllability as well as observability of the controlled plants before and after the variable reconstruction has been studied too, and then the classical Nyquist stability criterion is extended to the complex-coefficient frequency domain. Combined with the rigid magnetically suspended rotor (MSR) system with heavy gyroscopic effects, corresponding stability criterion has been further developed. Compared with the existing methods, the developed criterion for the rigid MSR system not only accurately predicts the absolute stability of the different whirling modes, but also directly demonstrates their relative stability, which greatly simplifies the analysis, design, and debugging of the control system.

Nondiagonal MIMO QFT Controller Design for Darwin-Type Spacecraft With Large Flimsy Appendages

2007 ◽  
Vol 130 (1) ◽  
Author(s):  
Mario Garcia-Sanz ◽  
Irene Eguinoa ◽  
Marta Barreras ◽  
Samir Bennani
Keyword(s):  
Disturbance Rejection ◽  
Controller Design ◽  
Control Strategies ◽  
Multiple Input Multiple Output ◽  
H Infinity ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Low Stiffness ◽  
Multiple Spacecraft ◽  
Mimo Model

This paper deals with the design of robust control strategies to govern the position and attitude of a Darwin-type spacecraft with large flexible appendages. The satellite is one of the flyers of a multiple spacecraft constellation for a future ESA mission. It presents a 6×6 high order multiple-input–multiple-output (MIMO) model with large uncertainty and loop interactions introduced by the flexible modes of the low-stiffness appendages. The scientific objectives of the satellite require very demanding control specifications for position and attitude accuracy, high disturbance rejection, loop-coupling attenuation, and low controller order. The paper demonstrates the feasibility of a sequential nondiagonal MIMO quantitative feedback theory (QFT) strategy controlling the Darwin spacecraft and compares the results with H-infinity and sequential diagonal MIMO QFT designs.

scholarly journals Performance Analysis of Precoded MIMO PLC System Based on Two-Sided Jacobi SVD

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Hasna Kilani ◽  
Mohamed Tlich ◽  
Rabah Attia
Keyword(s):  
Closed Loop ◽  
Multiple Input Multiple Output ◽  
Singular Value ◽  
Power Line Communication ◽  
Error Vector Magnitude ◽  
Zero Forcing ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Value Decomposition ◽  
Vector Magnitude

This paper evaluates the performance of closed loop multiple input multiple output power line communication (CL MIMO PLC) system based on enhanced zero-forcing (ZF) equalizer. In this work, the two-sided Jacobi (TSJ) algorithm has been investigated for the computation of singular value decomposition of the channel matrix. Quantized parameters are feedback from the receiver to the transmitter for precoding process. Numerous simplifications are introduced for the reduction of the algorithm complexity. The performance of the CL MIMO PLC is evaluated in terms of bit error rate (BER), constellation error vector magnitude (EVM), and mean square error (MSE) between the constructed SVD matrices and Matlab computed ones.

A Design Method for Internal Model Controllers for Multiple-Input/Multiple-Output Unstable Plant

2011 ◽  
Vol 497 ◽  
pp. 210-220
Author(s):  
Nghia Thi Mai ◽  
Kou Yamada ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
Takaaki Hagiwara ◽  
...  
Keyword(s):  
Internal Model ◽  
Closed Loop ◽  
Design Method ◽  
Multiple Input Multiple Output ◽  
Stabilizing Controllers ◽  
Multiple Input ◽  
Input Multiple Output ◽  
On Line ◽  
Output Time ◽  
Unstable Plant

In the present paper, we examine the parameterization of all stabilizing Internal Model Controllers(IMC) for multiple-input/multiple-output unstable plant. The parameterization problem is theproblem in which all stabilizing controllers for a plant are sought [1, 2, 3, 4, 5, 6, 7, 8, 9]. Since this parameterizationcan successfully search for all proper stabilizing controllers, it is used as a tool for manycontrol problems. However, there exists a problem whether or not stabilizing controllers for unstableplant can be represented by IMC structure. The IMC structure has advantages such as closed-loop stabilityis assured simply by choosing a stable IMC parameter. Additionally, closed-loop performancecharacteristics are related directly to controller parameters, which makes on-line tuning of the IMCvery convenient[6]. The solution to this problem, Morari and Zafiriou[6] examined the parameterizationof all stabilizing IMC for unstable plant. Their parameterization remains difficulties. Their internalmodel is not necessarily proper. In addition, their parameterization includes improper IMC. In order toovercome these problems, Chen et al. proposed a design method for IMC for minimum-phase unstableplant[17]. However, the method proposed by Chen et al. cannot apply for multiple-input/multipleoutputunstable plant. Because many of actual plants are multiple-input/multiple-output plants, consideringfor multiple-input/multiple-output unstable plant is important. In this paper, we propose theparameterization of all proper stabilizing IMC for multiple-input/multiple-output unstable plant suchthat the IMC and the internal model are proper. In addition, we present an application of the result forcontroller design for multiple-input/multiple-output time-delay plant.

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