In this paper a control problem for a controlled linear stochastic equation in a Hilbert space and an exponential quadratic cost functional of the state and the control is formulated and solved. The stochastic equation can model a variety of stochastic partial differential equations with the control restricted to the boundary or to discrete points in the domain. The solution method does not req...

ABSTRACT In this paper, a discrete sliding mode controller with multirate output feedback is designed to control the inverted pendulum system at the upright position. Most of the SMC control strategies are based on state feedback, however not all of the state feedbacks are available. The multirate output feedback (MROF) used output feedback, therefore the state are always available at any condi...

This paper proposes an Intelligent Linear Parameter Varying (ILPV) control approach for multivariable discrete Linear Time Varying (LTV) systems. An optimal linear quadratic closed loop control law is developed for each identified multivariable model so that the controlled system tracks a desired trajectory over the entire time interval. A gain scheduling adaptive control scheme based on neural...

Time-varying discrete-time linear systems may be temporarily uncontrollable and unreconstructable. This is vital knowledge to both control engineers and system scientists. Describing and detecting the temporal loss of controllability and reconstructability requires considering discrete-time systems with variable dimensions and the j-step, k-step Kalman decomposition. In this note for linear dis...

A method is proposed for reducing the cost of computing search directions in an interior point method for a quadratic program. The KKT system is partitioned and modified, based on the ratios of the slack variables and dual variables associated with the inequality constraints, to produce a smaller, approximate linear system. Analytical and numerical results are included that suggest the distribu...

The inverse linear-quadratic optimal control problem is a system identification whose aim to recover the quadratic cost function and hence closed-loop matrices based on observations of trajectories. In this paper, discrete-time, finite-horizon case considered, where agents are also assumed be homogeneous indistinguishable. latter means that all have same dynamics objective functions in terms “s...

A method is proposed for reducing the cost of computing search directions in an interior point method for a quadratic program. The KKT system is partitioned and modified, based on the ratios of the slack variables and dual variables associated with the inequality constraints, to produce a smaller, approximate linear system. Analytical and numerical results are included that suggest the distribu...

A control problem for a linear stochastic system with an arbitrary fractional Brownian motion and a cost functional that is quadratic in the system state and the control is solved. An optimal control is given explicitly as the sum of a prediction of the future fractional Brownian motion and the well known linear feedback control for the associated deterministic linear-quadratic control problem....

Self-triggered control is a recently proposed paradigm that abandons the more traditional periodic timetriggered execution of control tasks with the objective of reducing the utilization of communication resources, while still guaranteeing desirable closed-loop behavior. In this paper, we introduce a selftriggered strategy based on performance levels described by a quadratic discounted cost. Th...