3 Classical closed-loop control 8 3.1 PID feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Transfer functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 Closed-loop stability . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Gain and phase margins and robustness . . . . . . . . . . . . . . . . 12 3.5 Sensitivity function and fundamental...

closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. in this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. first, a mixed-integer linear programming formulation is developed to maximize the total profit. the main contribution...

In many practical cases, the identi cation of a system is done using data measured on the plant in closed loop with some controller. In this paper, we show that the internal stability of the resulting model, in closed loop with the same controller, cannot always be guaranteed if this controller is unstable and/or nonminimum phase, and that the direct, indirect and joint input-output approaches ...

In this paper a new fault tolerant control scheme is proposed, where only measured system outputs are assumed to be available. The scheme ensures closed-loop stability throughout the entire closed-loop response of the system even in the presence of certain actuator faults/failures. This is accomplished by incorporating ideas of integral sliding modes, unknown input observers and a fixed control...

A direct adaptive non-linear control framework for multivariable non-linear uncertain systems with exogenous bounded disturbances is developed. The adaptive non-linear controller addresses adaptive stabilization, disturbance rejection and adaptive tracking. The proposed framework is Lyapunov-based and guarantees partial asymptotic stability of the closed-loop system; that is, asymptotic stabili...

A hybrid control structure that unites bounded control with model predictive control (MPC) is proposed for the constrained stabilization of nonlinear systems. The structure consists of: (1) a finite-horizon model predictive controller, which can be linear or nonlinear, and with or without stability constraints, (2) a family of bounded nonlinear controllers for which the regions of constrained c...

Today, robots and unmanned aerial vehicles are being used extensively in modern societies. Due to a wide range of applications, it has attracted much attention among scientists over the past decades. This paper deals with the problem of the stability of a four-rotor flying robot called quadrotor, which is an under-actuated system, in the presence of operator or sensor failures. The dynamica...

The study and the determination of polyhedral regions of local stability for linear systems subject to control saturation is addressed. The analysis of the nonlinear behavior of the closed-loop saturated system is made by dividing the state space in regions of saturation. Inside each of these regions, the system evolution can be represented by a linear system with an additive disturbance. From ...

We consider the control design for a class of single-input single-output (SISO) switched linear systems of arbitrary order. Our approach is motivated by applications in which the major design objective is to achieve similar behaviour of the closed-loop system in each system mode ensuring stability for arbitrary switching. We study the stability of the resulting closed-loop system and exploit th...

This paper presents a feedback-controlled, MEMS-fabricated microaccelerometer. The microaccelerometer has received much commercial attraction, but its performance is generally limited. To improve the open-loop performance, a feedback controller is designed and experimentally evaluated. The feedback controller is applied to the x/y-axis microaccelerometer fabricated by sacrificial bulk micromach...