Optimized methods for the pre-eminent performance of LQR control applied in a MIMO system

This paper illustrates various techniques to achieve the best optimization method under the Linear quadratic control strategy that is used for a multiple input multiple output system. The objective of the paper is to find the control criteria using the principle of extended state observer. An advanced optimized iteration method was introduced to select the weighted matrix Q from the control parameters. Another method is simulink response optimization method which also can fulfil the desired output result shown in the paper. Both the variables, the weighted matrix Q and the observer gain La, was modified after applying these optimization methods. The method responses were as per the minimal damping ratio of control logic. Among all these algorithms, the best iterative result was initiated.

[1]  William R. Perkins,et al.  Pole placement by performance criterion modification , 1988 .

[2]  P. S. Manoharan,et al.  Uncertainty modeling of nonlinear 2-DOF helicopter model , 2014, 2014 International Conference on Computer Communication and Informatics.

[3]  Panajotis Agathoklis,et al.  Optimal Steady-State Decoupling of Linear Systems with Prescribed Degree of Stability , 1979 .

[4]  Jun Yang,et al.  Generalized Extended State Observer Based Control for Systems With Mismatched Uncertainties , 2012, IEEE Transactions on Industrial Electronics.

[5]  Jili Tao,et al.  Improved control using extended non-minimal state space MPC and modified LQR for a kind of nonlinear systems. , 2016, ISA transactions.

[6]  Ferat Sahin,et al.  Optimal control of a twin rotor MIMO system using LQR with integral action , 2014, 2014 World Automation Congress (WAC).

[7]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[8]  Bernard Brogliato,et al.  Nonlinear modelling and control of helicopters , 2003, Autom..

[9]  Jovitha Jerome,et al.  Adaptive PSO for optimal LQR tracking control of 2 DoF laboratory helicopter , 2016, Appl. Soft Comput..

[10]  Chitralekha Mahanta,et al.  Second order sliding mode controller for twin rotor MIMO system , 2011, 2011 Annual IEEE India Conference.

[11]  Shubhi Purwar,et al.  To design optimally tuned FOPID controller for twin rotor MIMO system , 2014, 2014 Students Conference on Engineering and Systems.

[12]  G. Naresh Kumar,et al.  ESO Based LQR Controller for Ball and Beam System , 2016 .

[13]  Jian Fang The LQR Controller Design of Two-Wheeled Self-Balancing Robot Based on the Particle Swarm Optimization Algorithm , 2014 .

[14]  Piyali Das,et al.  Disturbance rejection using Extended State Observer for a MIMO system , 2017, 2017 IEEE International WIE Conference on Electrical and Computer Engineering (WIECON-ECE).

[15]  D. Luenberger Observers for multivariable systems , 1966 .

[16]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[17]  Yisheng Zhong,et al.  Robust Attitude Regulation of a 3-DOF Helicopter Benchmark: Theory and Experiments , 2011, IEEE Transactions on Industrial Electronics.

[18]  Kamel Kara,et al.  Type-2 fuzzy logic control of a 2-DOF helicopter (TRMS system) , 2014 .

[19]  Zhou Zhen,et al.  Semi-active control using mr dampers based on fully decentralized control strategy , 2011, 2011 International Conference on Electric Information and Control Engineering.

[20]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[21]  Ikko Matsuba,et al.  MIMO Closed-Loop Subspace Model Identification and Hovering Control of a Coaxial Mini Helicopter with 3 DOFs , 2012 .

[22]  Raman Paranjape,et al.  Model Helicopter Control Using Body-Mounted Vibro-Tactile Transducers , 2014 .

[23]  Okyay Kaynak,et al.  Trajectory tracking of a 2-DOF helicopter system using neuro-fuzzy system with parameterized conjunctors , 2014, 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[24]  Shubhi Purwar,et al.  Comparison of state feedback controller design methods for MIMO systems , 2010, 2010 International Conference on Power, Control and Embedded Systems.

[25]  Chin-Wang Tao,et al.  Design of a parallel distributed fuzzy LQR controller for the twin rotor multi-input multi-output system , 2010, Fuzzy Sets Syst..