Stability analysis and design of uncertain discrete-time switched systems with actuator saturation using antiwindup and multiple Lyapunov functions approach. (English) Zbl 1357.93074
Summary: The stability analysis and anti-windup design problem is investigated for a class of discrete-time switched systems with saturating actuators by using the multiple Lyapunov functions approach. Firstly, we suppose that a set of linear dynamic output controllers have been designed to stabilize the switched system without input saturation. Then, we design anti-windup compensation gains and a switching law in order to enlarge the domain of attraction of the closed-loop system. Finally, the anti-windup compensation gains and the estimation of domain of attraction are presented by solving a convex optimization problem with Linear Matrix Inequality (LMI) constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93D30 | Lyapunov and storage functions |
| 93C55 | Discrete-time control/observation systems |
| 93C41 | Control/observation systems with incomplete information |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C10 | Nonlinear systems in control theory |
Keywords:
anti-windup; switched systems; saturating actuators; multiple Lyapunov functions; domain of attraction; LMIReferences:
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