Non-fragile Observer-Based Control for Discrete-Time Systems Using Passivity Theory
- Non-fragile Observer-Based Control for Discrete-Time Systems Using Passivity Theory
- 박주현; 칼리다스마디야라간; 정호열; R. Sakthivel[R. Sakthivel]
- H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; RANDOM PACKET LOSSES; DELAY SYSTEMS; FEEDBACK CONTROL; DISSIPATIVITY; NONLINEARITIES; DESIGN
- Issue Date
- SPRINGER BIRKHAUSER
- CIRCUITS SYSTEMS AND SIGNAL PROCESSING, v.34, no.8, pp.2499 - 2516
- In this paper, non-fragile observer-based controller design is investigated for a class of discrete-time systems. The system under consideration is assumed to have random fluctuations in both the state feedback controller gain and observer gain matrices. The random fluctuations are defined using Bernoulli-distributed white sequences with time-varying probability measures. The probability-dependent controller gains are designed to guarantee the stochastic stability of the system with a prescribed mixed and passivity performance. Lyapunov stability theory, passivity theory and a linear matrix inequality (LMI) approach are used to derive sufficient conditions for the existence of the state feedback controller and observer gains. The probability-dependent gain-scheduled controllers are designed based on a convex optimization problem using a set of LMIs, which can be easily solved with standard numerical packages. Finally, a practical application is presented as an example to illustrate the effectiveness and potential of the method.
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