Abstract
In this paper, a sojourn-probability-dependent method is proposed to investigate the robust∞control for a class of switched systems with input delays. The considered system has the following characteristics: (1) it is a switched system consisting of a set of subsystems; (2) sojourn probabilities (i.e. the probability of switched systems staying in each subsystem) are assumed to be known (or partly known) a prior; and (3) there are input delays and parameter uncertainties in each subsystem. By using the sojourn probability information, a new type of switched system model is built. By using the Lyapunov functional method, the robust mean square stability criteria are obtained for switched systems under two conditions: (A) all sojourn probabilities of the subsystems are known; (B) only partly sojourn probabilities are known. Then the robust∞controller feedback gains are derived by using the cone complement linearization method. An inverted pendulum system and a numerical example are given to demonstrate the effectiveness and applicability of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 22-35 |
| Number of pages | 14 |
| Journal | Information Sciences |
| Volume | 283 |
| DOIs | |
| Publication status | Published - 1 Nov 2014 |
Keywords
- Robust mean square stability
- Sojourn probability
- Stochastic control
- Switched systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Theoretical Computer Science
- Software
- Computer Science Applications
- Information Systems and Management
- Artificial Intelligence