TY - JOUR
T1 - Multiobjective ℋ∞ problems
T2 - Linear and nonlinear control
AU - Rangan, S.
N1 - Funding Information:
The basic block diagram for the multiobjective ~o~ problem is shown in Fig. 1. In this diagram, P is a linear time-invariant (LTI) plant, K is the controller, the signals w~ are a set of exogenous disturbances, and tke signals z~ are a set of outputs to be regulated. The multiobjective 9ffo~ problem is: given a ~ > 0 to find a controller K (if one exists) * Tel.: + 15106421891; e-mail: [email protected],e du. 1Supported in part by the National Science Foundation under Grant ECS 95-09539.
PY - 1997/11/17
Y1 - 1997/11/17
N2 - In this note, we compare the value of nonlinear and linear control for a multiobjective ℋ∞ control problem with a linear time-invariant (LTI) plant. We show that if the ℋ∞ performance of a nonlinear feedback controller is measured by the maximum incremental gain, the optimal achievable performance with nonlinear, time-varying control is identical to that achievable by LTI control.
AB - In this note, we compare the value of nonlinear and linear control for a multiobjective ℋ∞ control problem with a linear time-invariant (LTI) plant. We show that if the ℋ∞ performance of a nonlinear feedback controller is measured by the maximum incremental gain, the optimal achievable performance with nonlinear, time-varying control is identical to that achievable by LTI control.
KW - Interpolation theory
KW - Multiobjective optimization
KW - Nonlinear control
KW - Structured uncertainty
KW - ℋ control
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U2 - 10.1016/S0167-6911(97)00065-0
DO - 10.1016/S0167-6911(97)00065-0
M3 - Article
AN - SCOPUS:0346676853
SN - 0167-6911
VL - 32
SP - 135
EP - 141
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 3
ER -