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We consider optimal experiment design for parametric prediction error system identification of linear time-invariant multiple-input multiple-output systems in closed-loop when the true system is in the model set. The optimization is performed jointly over the controller and the spectrum of the external excitation, which can be reparametrized as a joint spectral density matrix. The optimal solution...
H∞ control design is generally performed iteratively. At each iteration, the weights constraining the desired closed-looptransfer functions are adjusted until satisfactory performance margins are obtained. The way in which the weights are adjusted is generally heuristic and based solely on past experience and engineering judgement/intuition. It is consequently important to understand and provide guidelines...
Quadruple Tank process is a multi-input-multi-output process. Mathematical modeling of the MIMO process is computed. State space model is computed from the mathematical model and is converted into transfer function matrices. Fourth order transfer function is approximated into first order plus dead time. Relative Gain Array (RGA) is computed for pairing the input and output. Steady state gain matrix...
TIn this paper, an observer based model reference adaptive iterative learning control (MRAILC) is proposed for a general class of uncertain MIMO nonlinear systems. Since the system state vector is assumed to be not measurable, a state tracking error observer is introduced for state estimation. Based on the proposed observer, we apply a model reference adaptive control technique to derive an output...
In this paper, the spectral expression of the frequency-limited ℋ2-norm, firstly presented in [18], is extended to the case of LTI dynamical systems which are not diagonalizable. This extension is achieved by considering partial fraction decomposition of the transfer function associated to a system which is in a Jordan form. Besides, examples are presented to illustrate the behaviour of the frequency-limited...
Coal will play as a major fuel source for power production due to its long term availability. Hence it is necessary to develop clean and efficient coal gasification plants also known as greenhouse power plants. One of the main components in green house power plant is gasifier. The mathematical model developed by ALSTOM for gasifier is highly coupled multivariable system with transfer function of the...
The paper explores methods for decoupled linear parameter varying (LPV) control. The proposed approach seeks to benefit the multi-variable control of multi-input multi-output (MIMO) systems with variable operating conditions, variable parameters or nonlinear behavior. The method can improve the performance and reduce the variability of such MIMO systems with significant coupling in the system dynamics...
The optimal Hankel-norm approximation problem studied in [1] is reformulated in a state-space setting. It is shown that the A-A-K Hankel approximation theory can be generalized to optimal multivariable case. The optimal Hankel approximants obtained in this way are identical to those obtained by Glover [2], however, the present approach provides a deep insight into the A-A-K approximation theory and...
All optimal solutions of the 2-block H∞ control problem are parametrized by an alternative approach in this paper. The diagonalizing matrix pair is used to connect the successive layers as well as to characterize the sub-layers. The parameter which is one of the suboptimal solutions of the sub-layers parametrizes all optimal solutions. It reflects the performance of the sub-layers simultaneously....
In this paper, we consider a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. Under the assumption of internal stability, bounded inputs produce bounded outputs. Some results on the induced operator norm of the closed loop system with L∞(i.e., peak value) norm on the input and output signals are presented.
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