State-space solutions to Hadamard weighted ℋ_∞and ℋ₂control problems

Decomposition Via QP

“…For example while Chughtai and Munro [11] extend their static formulation to dynamic designs [13], the pre-compensator order will be very high. The same is true for the method proposed in [14] which allows design of decoupling controllers through Hadamard weighted and optimization. One of the more versatile recent approaches has been with the use of Evolutionary Algorithms [9].…”

H∞Optimization-based robust decoupling control algorithm in linear parameter varying systems using Hadamard weighting

“…The third point can be fulfilled by redefining the plant output. The last two points in Assumption 3 are necessary to build the controlled plant such that the sensor noise weighting is non-singular and to avoid unreasonably easy (singular) and unreasonably hard (tough) optimization setup in optimal control law design (Diggelen et al, 1994).…”

“…Another draw back in traditional H ∞ /robust control problem is that weight matrices are diagonal, therefore certain specifications for each diagonal elements of closed loop transfer function matrices cannot be achieved simultaneously (Loh and Quek, 1995). The Hadamard weighting have been applied on the closed loop systems (Ahmed et al, 2009; Diggelen and Glover, 1994; Watanabe, 1999) to enforce approximate decoupling while maintaining stability robustness. The major problem in these works is that the control law design using Hadamard weight works only for linear dynamic systems.…”

“…In this paper, we propose a multi objective robust gain scheduled control technique by extending the Hadamard weighted H ' LTI control technique of Ahmed et al (2009) and Diggelen et al (1994) to achieve multivariable gain scheduled control of a LPV system.…”

Multiobjective control for multivariable systems with mixed-sensitivity specifications

“…By applying a multiobjective design method, it will be possible to remove or reduce the conservatism due to the cross-coupling terms. Recently, some results in this direction have been published by van Diggelen and Glover (1994) which addresses some of the problems treated in this paper. In comparison, the approach taken below is more simple minded and sometimes more restrictive, but the results are also more intuitive and easier to customize to speci® c applications.…”