Regional Stability and H∞ Performance Control of an Input-Saturated Induction Motor via Lmi Approach

Abstract

In this paper, the robust speed control of an induction motor is investigated, and a parameter-dependent model is addressed. The proposed scheme includes the feedback of states and the integral of the tracking error. In practice, considering the specification of the drive circuit, the saturation phenomenon of control signals is addressed. It is noted that the saturated signal is represented as a perturbed signal, which can be further investigated to determine the achieved robustness. Regional stability and H ∞ performance are discussed in this paper, where the derivations of feedback gains are formulated in terms of linear matrix inequalities (LMIs). To evaluate the control performances, a DSP-based scheme for an induction motor was set up. Experimental results, associated with versatile command profiles and load conditions, show that the proposed system achieves satisfactory performance from the viewpoint of tracking accuracy and disturbance rejection.

Adaptive Fault-Tolerant Cruise Control for a Class of High-Speed Trains with Unknown Actuator Failure and Control Input Saturation

“…Theorem 6. For HST system (37) with Assumptions 1-4 and AF (12) satisfying (56), the controller is given by the control law (41) and the adaptation laws (49) and 52; then we have the following.…”

“…where min and max are the minimum and maximum values of ( ), and ( ) is defined in (41). Saturation function sat( ( ), min , max ) is linear with unity slope between its lower and upper bound; that is,…”

“…Polycarpou et al [40] address the issue of CIS in on-line approximation based control for nonlinear systems, and a modified control design framework is presented for preventing CIS from destroying the learning capabilities and memory of an on-line approximation. In [41], the robust control of an induction motor is investigated, and a parameter-dependent model is addressed. Wu et al [42] present a method, for designing output feedback laws that stabilize a linear system subject to actuator saturation with a large domain of attraction, which applies to general linear systems including strictly unstable ones and is presented in both continuous-time and discrete-time setting.…”

Robust Saturated PI Joint Velocity Control for Robot Manipulators

“…For example, in a real motor drive, the current command is limited to a prescribed maximum value due to the converter protection, magnetic saturation, and motor overheating . As pointed out in the textbook , p. 171: “saturation is probably the most commonly encountered nonlinearity in control engineering.” See for instance the papers and for methodologies to achieve control of systems involving input saturation. An example of a robot motion controller that takes into account the input constraint of a manipulator is given in , where global output feedback tracking control is guaranteed.…”

Output Feedback Controller Design for systems with Amplitude and Rate Control Constraints

“…It is well-known that control amplitude and rate saturations may lead to performance losses, limit cycles, different equilibrium points and, in some cases, instability of the closed loop system [11,6,4,1,3]. For these reasons, the synthesis of controllers considering amplitude and rate bounds on the control inputs are worth further research.…”