Output Feedback Stabilization of Linear Systems With Actuator Saturation

Abstract

Abstract-The paper presents a method for designing output feedback laws that stabilize a linear system subject to actuator saturation with a large domain of attraction. This method applies to general linear systems including strictly unstable ones, and is presented in both continuous-time and discrete-time setting. A nonlinear output feedback controller is first expressed in the form of a quasi-LPV system. Conditions under which the closed-loop system is locally asymptotically stable are then established in terms of the coefficient matrices of the controller. The design of the controller (coefficient matrices) that achieves a large domain of attraction is then formulated and solved as an optimization problem with LMI constraints.

Control Synthesis of Discrete-Time Switched Linear Systems with Input Saturation Based on Minimum Dwell Time Approach

“…Then by (14) it follows that (25). Using the similar discussion, for all t ∈ [t k , t k+1 ), k = 1, 2, .…”

“…The quasi-LPV dynamic system (40) is motivated by the idea in [25,31], in which the gain matrices are time-varying and dependent on y(t) and z(t) in real time.…”

“…Generally speaking, it is difficult to obtain the global or semi-global stability of closed-loop system. Therefore, it is of interest to obtain the local stabilization conditions and maximize the attractive regions, see [5,8,9,25,31,[33][34][35]. Recently, control for linear and nonlinear switched systems with actuator saturation were also investigated, see [1-3, 14-16, 18, 21, 29].…”

Entwurf von modellbasierten Anti-Windup-Methoden für Systeme mit Stellbegrenzungen

“…Die Arbeiten [120,143,203] verfolgen diesen Ansatz und beschreiben Ausgangsrück-führungen mit garantierter lokaler Stabilität der Ruhelage für beliebige lineare Strecken. Globale Stabilität für stabile Strecken wird mit dem Ansatz in [140] erreicht.…”

Robust ${\cal H}_{\infty}$ Finite-Horizon Control for a Class of Stochastic Nonlinear Time-Varying Systems Subject to Sensor and Actuator Saturations

“…On the other hand, in practical control systems, sensors and actuators cannot provide unlimited amplitude signal due primarily to the physical, safety or technological constraints. Because of their theoretical significance and practical importance, the problems of filtering and control with actuator saturation have been extensively studied, see, e.g., [5], [9], [14], [21]. Comparing to the vast literature with respect to actuator saturation, the associated results for sensor saturation have been relatively few probably because of the technical difficulty, see [4], [22], [28].…”