TY - GEN

T1 - Optimal and robust control of a group of single-input linear systems using linear uncertain technique

AU - Shue, Shyh Pyng

AU - Agarwal, Ramesh K.

AU - Shi, Peng

AU - Sawan, M. E.

PY - 1998

Y1 - 1998

N2 - Optimal and robust control of a group of single-input linear systems are presented. The formulation of the optimal state feedback controller is developed for a group of linear systems derived from a nonlinear system under attractive domains. Choosing a particular linear system as the desired model, the rest of the systems are assumed to be parameter-uncertain. Selection of a suitable weighting matrix for the performance index is used as a key method to optimally control this particular system and robustly stabilize the rest of the linear systems, simultaneously. It is shown that the above problem can be solved if an algebraic Riccati equation (ARE) has a solution. The state weighting matrix of this ARE can be linearly formulated for all uncertain coefficients and factors. If the weighting matrix is selected to satisfy certain constraints, the solution of ARE is positive, and all closed loop systems are stable. Control of a group of linearized longitudinal motions of an aircraft is employed to illustrate the potential of the proposed method.

AB - Optimal and robust control of a group of single-input linear systems are presented. The formulation of the optimal state feedback controller is developed for a group of linear systems derived from a nonlinear system under attractive domains. Choosing a particular linear system as the desired model, the rest of the systems are assumed to be parameter-uncertain. Selection of a suitable weighting matrix for the performance index is used as a key method to optimally control this particular system and robustly stabilize the rest of the linear systems, simultaneously. It is shown that the above problem can be solved if an algebraic Riccati equation (ARE) has a solution. The state weighting matrix of this ARE can be linearly formulated for all uncertain coefficients and factors. If the weighting matrix is selected to satisfy certain constraints, the solution of ARE is positive, and all closed loop systems are stable. Control of a group of linearized longitudinal motions of an aircraft is employed to illustrate the potential of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=20444489131&partnerID=8YFLogxK

U2 - 10.1109/ACC.1998.703581

DO - 10.1109/ACC.1998.703581

M3 - Conference contribution

AN - SCOPUS:20444489131

SN - 0780345304

SN - 9780780345300

T3 - Proceedings of the American Control Conference

SP - 1099

EP - 1103

BT - Proceedings of the 1998 American Control Conference, ACC 1998

T2 - 1998 American Control Conference, ACC 1998

Y2 - 24 June 1998 through 26 June 1998

ER -