Optimal Output Regulation of Linear Systems with Input Constraints

Control of linear systems with regulation and input constraints

Optimal linear control systems with input derivative constraints

A very significant result in modern control theory is that, for a linear. finite-dimensional, dynamical system. the state feedback law derived from a quadratic-loss-function niinimisation problem is linear. The paper applies the results of this optimal control theory to a class of problems in which the feedback law is realised by a linear dynamical system. The quadratic loss function of interes...

Maximum Output Amplitude of Linear Systems for certain Input Constraints

We determine the maximum output amplitude of a system, when the input is bounded by certain constraints. In particular, amplitude and rate of change (i.e. the first derivative) have to be bounded. We show properties of the worst case input and present an algorithm that allows construction of this input and calculates the maximum amplitude of the output. The solution of this problem is a necessa...

Stabilization of Linear Systems with Input Constraints

We consider the control of an unstable LTI system with a constraint on the control input. We show that for every compact subset of the null-controllable region of the system, we can constructively design a nonlinear state feedback controller which ensures the internal exponential stability of the closed loop system, i.e., the state and control signals go to zero exponentially, for every initial...

Numerical method for solving optimal control problem of the linear differential systems with inequality constraints

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...