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The convergence evaluation of the discrete linear quadratic regulator (DLQR) to map the Z-stable plane, is the main target of this research that is oriented to the development of tuning method for multivariable systems. The tuning procedures is based on strategies to select the weighting matrices and dynamic programming. The solutions of DLQR are presented, since Bellman formulations until Riccati...
Iterative learning control (ILC) is a technique to make use of the repetitiveness of the tasks, a system is commanded to execute in a fixed finite time interval. In this paper, we assume that the system to be controlled is discrete time and described by linear state space equations. We present a proportional, integral, derivative (PID) type ILC updating law with variable coefficients. An optimal procedure...
An iterative algorithm for solving coupled algebraic Lyapunov equations appearing in continuous-time linear systems with Markovian transitions is established. The algorithm is computationally efficient since it can obtain the solution within finite steps in absence of round-off errors.
This paper proposes a lifted domain ILC design technique for repetitive processes with significant non-repetitive disturbances. The learning law is based on the minimization of the expected value of a cost function (i.e., error norm) at each iteration. The derived learning law is iteration-varying and depends on the ratio of the covariance of non-repetitive component of the error to the covariance...
In this paper we present a gradient method to iteratively update local controllers of a distributed linear system driven by stochastic disturbances. The control objective is to minimize the sum of the variances of states and inputs in all nodes. We show that the gradients of this objective can be estimated distributively using data from a forward simulation of the system model and a backward simulation...
An approach is given for designing feedback controllers for unit memory discrete repetitive processes subject to iteration-varying reference signals. Using a lifting technique and defining an iteration-domain complex frequency operator, the two-dimensional single-input, single-output plant is changed into a one-dimensional multivariable system. Then, an internal model principle is given that ensures...
This paper presents an Iterative Learning Controller (ILC) design for Self-Servowriting (SSW) process in Hard Disk Drives (HDDs). In SSW, the position and timing information are written onto the disk surface by referring to the previously written servo information. This process is repeated until the whole disk is completely written. The main issue in this process is Radial Error Propagation (REP),...
Optimal control of infinite dimensional systems is one of the central problems in the control of distributed parameter systems. With the development of high performance computers, numerical methods for optimal control design have regained attention and achieved significant progress, mostly in the form of open-loop solutions. We consider in this work an optimal control problem for a bilinear parabolic...
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