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Robust linear controller for dynamic object with two-dimensional uncertain parameters space

Oprzedkiewicz K.

Archives of Control Sciences

2006

Vol. 16, no. 4

435-444

Robust linear controller for an uncertain param,eter linear dynamic system is presentedin this paper. Plant is described by finite dimensional linear stste-space equation with interval diagonal state matrix, know control and output matrices and two-dimensional uncertain parameters space. The controllable and observable part of the system can be described by equivqlent transfer function. To control the plant a general linear controller is used. general robustness indices and idea of robutness areas are defined for the control system. First order uncertain parameter system with the PID controller is presented as an illustrative example.

Bounding approach to parameter estimation without prior knowledge on modeling error and application to quality modeling in drinking water distribution systems

Duzinkiewicz K.

Archives of Control Sciences

2006

Vol. 16, no. 1

51-70

Parameter estimation of an autoregressive with moving average and exogenous variable ARMAX model is discussed in this paper by using bounding approach. Bounds on the model structure error are assumed unknown, or known but too conservative. To reduce this conservatism, a point-parametric model concept is proposed, where there exist a set model parameters and modeling error corresponding to each input. Feasible parameter sets are defined for point-parametric model. bounded values on the model parameters and modeling error can then be computed jointly by tightening the feasible set using observations under deliberately designed input excitations. Finally, a constantly bounded parameter model is established, which can be used for robust output prediction and control.

Decentralized adaptive output feedback stabilization for a class of interconnected systems with unknown bound of uncertainties.

Fenlin L., Yuan L., Hao W., Siying Z.

Systems Science

2001

Vol. 27, nr 3

35-48

The problem of adaptive decentralized stabilization for a class of linear time-invarying large-scale systems with nonlinear interconnectivity and uncertainties is discussed. The bounds of uncertainties are assumed to be unknown. For such uncertain dynamic systems, an adaptive decentralized controller is presented. The resulting closed-loop systems are asymptotically stable in theory. Moreover, an adaptive decentralized control scheme is given. The scheme ensures the closed-loop systems exponentially practically stable and can be used in practical engineering. Finally, simulations show that the control scheme is effective.