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In this paper, a new definition of a right inverse of nonsquare parameter matrices is derived from MVC-related inverses of nonsquare polynomial matrices. The new definition is employed in a stabilizing state-space perfect control law for nonsquare LTI MIMO systems. A simulation example shows that the new inverse outperforms the classical minimum-norm right inverse.
This paper combines the fractional-order iterative learning control (FOILC) and the high-gain universal adaptive stabilizer (UAS) into a high-gain adaptive FOILC scheme, which is a feedforward-plus-feedback one. Allowing for the commonality of FOILC and UAS, the proposed scheme requires only the structural information of fractional-order systems, and the convergence condition remains the same with...
In order to get better stabilized effect while keeping course, the ship rudder/fin joint nonlinear system controller based on dynamic sliding mode is designed. Aiming at a class of multiple-input multiple-output nonlinear system such as rudder/fin joint system, the control law is designed based on dynamic sliding mode method. The mathematical model of rudder/fin joint nonlinear system with four degrees...
In this paper, a practical Identification strategy is applied to the optimal design of fractional-order iterative learning control (FOILC). The initialized fractional-order gray-box system with commensurate order or non-commensurate order is identified by using the fractional-order iterative learning Identification and the least square or instrumental variable method. The optimal Dα-type FOILC is...
This paper presents a new mathematical method to determine the control configuration for n × n multi-input-multi-output (MIMO) processes. Previously the Relative Gain Array (RGA) was employed as a classical way to determine the pairing between inputs and outputs which may not suggest the best pairing in cases where the systems are larger than 2×2. The new strategy gives suitable pairing recommendations...
A robust adaptive fuzzy control scheme is presented for a class of multiple-input-multiple-output (MIMO) nonaffine nonlinear systems with modeling uncertainties and external disturbances by using backstepping approach. The fuzzy logic systems are introduced to estimate the unknown nonlinear functions, the approximation errors of fuzzy systems are only required norm-bounded, and additional adaptive...
In multivariable processes, control structure selection represented as the pairing of manipulated variables and controlled variables is a major concern during the design of multi-loop regulatory PID control system. Each pairing method has its application scope, and it is necessary to analyze and evaluate the closed-loop application effect of the system pairing. Based on the dynamic transmission ratio...
The control of MIMO systems plays an important part in industrial process, and the uncertain coupling in MIMO systems is a key issue of control. This paper introduces an input relative gain array(IRGA) to the design of Tornambe's Controller(TC) to find a proper match between the inputs and outputs. Then use this method to deal with a ten-in ten-out nonlinear system with uncertain coupling. The result...
Proportional-Integral-Derivative (PID) controllers are undoubtedly the most employed controllers in industry. Also, since the so called exact model matching is impossible in the actual realities, the partial model matching from the lowest order term to as higher the term as possible is adopted by Kitamori. This controller has a structure which cousists of information about the controlled object and...
A multi-input/multi-output (MIMO) furnace control system based on the PID control and the fuzzy radical basis functions neural network(FRBFNN) control is presented, in this paper. In addition, the structure models and relative learning algorithms of the FRBFNN controller are gived. At last, simulation and experiment results based on an application of the MIMO furnace control system are provided to...
Three-motor variable-freqency speed-regulation synchronous system is a multi-input multi-output(MIMO), nonlinear, and coupling system. The mathematic model of the system is established in the way of analytical expression. Self-tuning PID controllers based on DRNN neural network and neuron decoupling compensator are adopted to realize the adaptive decoupling control of speed and tension. The experiment...
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