<p style='text-indent:20px;'>In this paper, an optimal control model ruled by a class of linear discrete-time stochastic descriptor systems is considered under quadratic index performance. Employing dynamic programming method, recurrence equation to simplify the problem presented provided that are both regular and impulse-free. When objective function quadratic, according equation, linear...

This paper deals with an iterative learning control law for multivariable systems. The desired inputs are supposed to be known and periodic. The principle of the control is to make outputs as close as possible to desired inputs at each new period. After the design of multivariable repetitive controller, we give the stability condition of the algorithm and some simulation results.

We consider the (sub)optimal H∞-control problem for discrete time descriptor systems. Necessary and su cient optimality conditions are derived in terms of de ating subspaces of palindromic matrix pencils. This approach allows the use of structure preserving matrix techniques which lead to a more robust method compared with currently used algorithms. The approach is suitable for standard systems...

This paper is devoted to the study of the connections among risk-sensitive stochastic optimal control, dynamic game optimal control, risk-neutral stochastic optimal control and deterministic optimal control in a nonlinear, discrete-time context with complete state information. The analysis worked out sheds light on the profound links among these control strategies, which remain hidden in the li...

Discrete-Time H2 Guaranteed Cost Control by Richard Anthony Conway Doctor of Philosophy in Engineering – Mechanical Engineering University of California, Berkeley Professor Roberto Horowitz, Chair In this dissertation, we first use the techniques of guaranteed cost control [28] to derive an upper bound on the worst-case H2 performance of a discrete-time LTI system with causal unstructured norm-...

Rectangular hybrid automatamodel digital control programs of analog plant environments. We study rectangular hybrid automata where the plant state evolves continuously in real-numbered time, and the controller samples the plant state and changes the control state discretely, only at the integer points in time. We prove that rectangular hybrid automata have nite bisimilarity quotients when all c...

An adaptive discrete-time LQG control with loop transfer recovery (LTR) is considered. The control problem is analyzed using state-space model and the parameter estimation problem is implemented for corresponding discrete-time model in transfer function form obtained via ZOH. Thus the direct estimation of model parameters is possible by means of standard RLS or ERLS procedure and the adaptive c...