Model Reference Robust Adaptive Control for a Class of Uncertain Switched Linear Systems
نویسندگان
چکیده
1 Abstract—Utilizing model reference adaptive control approach and multiple Lyapunov functions method, we propose a switched adaptive controller for uncertain switched linear systems in control canonical form. These systems exist naturally in many practical applications, such as variable capacity hydraulic pump involving discrete changes that are specified by the valve position. We show that the uncertain switched linear system controlled by the switched adaptive controller is uniformly bounded under arbitrary switching laws, provided a linear-matrix-inequality (LMI) based sufficient condition is satisfied. We validate the proposed model reference adaptive control approach by an application to a typical servo-hydraulic positioning system. Key words—switched systems, adaptive control, multiple Lyapunov functions, switching control, electro-hydraulic actuator
منابع مشابه
Robust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملA new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملStability analysis and feedback control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay
In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...
متن کاملEnhancement of Robust Tracking Performance via Switching Supervisory Adaptive Control
When the process is highly uncertain, even linear minimum phase systems must sacrifice desirable feedback control benefits to avoid an excessive ‘cost of feedback’, while preserving the robust stability. In this paper, the problem of supervisory based switching Quantitative Feedback Theory (QFT) control is proposed for the control of highly uncertain plants. According to this strategy, the unce...
متن کامل