Abstract
The anti-disturbance output feedback tracking control problem is addressed for switched stochastic systems with multiple disturbances in this article. To deal with unknown disturbances and unmeasurable states, composite disturbance observer and state observer are designed simultaneously. Then, an output feedback tracking controller is designed based on outputs of two observers. By employing multiple Lyapunov function method, some sufficient conditions are given to analyse the mean square exponential stability with weighted H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance for the closed-loop system. Furthermore, the controller and observer gains are solved by linear matrix inequalities. At last, the validity of the presented scheme is demonstrated via two examples.
Highlights
With the demands of high control precision for complex control system, anti-disturbance control has received much attention
Several approaches and technologies have been proposed to satisfy the requirement of the expected performance, e.g., adaptive control scheme [1], sliding mode control technique [2], robust H∞ control theory [3], adaptive output regulation method [4]–[6], and disturbance observer based control (DOBC) [7], [8]
A disturbance observer based on output information is designed as follows ξ1(t) = V ω (t), ω (t) = ν(t) − Ly(t), dν(t) = {(G0 +LDpBpV )ω (t)+LDpBpu(t)}dt, p ∈ N, (6)
Summary
With the demands of high control precision for complex control system, anti-disturbance control has received much attention. Several approaches and technologies have been proposed to satisfy the requirement of the expected performance, e.g., adaptive control scheme [1], sliding mode control technique [2], robust H∞ control theory [3], adaptive output regulation method [4]–[6], and disturbance observer based control (DOBC) [7], [8]. DOBC method has many application in control systems, such as spacecraft system [9], static var compensator [10]. The disturbance was generally regarded as a single disturbance. Systems often subject to different kinds of disturbances in real engineering, e.g., internal noises and external disturbances. The composite hierarchical anti-disturbance control scheme (CHADC) was presented to reject and attenuate
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