Necessary and sufficient conditions for mixed H/sub 2/ and H/sub infinity / optimal control

Yeh, Hsi-Han; Banda, Siva S.; Chang, B.C.

doi:10.1109/9.119636

Cited by 50 publications

(28 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Recovery to the plant output is generally more appropriate when good command following is required, and it is essential whenever the plant model has more inputs than outputs. While the dual nature of the mixed ~2/~ optimal control problem is already well established [12,13], it is hoped that this presentation will help to clarify the design process as it relates to the theory and notation presented in [10]. Second, a significant restriction on the choice of a design parameter will be removed.…”

Section: Stability Augmentation and Attitudementioning

confidence: 99%

“…The triple (A, B, C) represents the stabilizable and detectable minimum phase nominal system. All other matrices in are taken to be "free" design parameters subject the following standard assumptions and definitions [12]: The closed-loop transfer function whose ~=-norm is to be bounded by some given constant -/ is given by…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…Making the simplification E2= = [3E2 and taking [3 = 0, then the following lemma due to Bernstein and Haddad [10] gives sufficient conditions for closed-loop stability with mixed ~2/~ optimality (see [12] for relationships to the dual development in [15]). It should be noted that the Lemma A.…”

Section: C~cr2ccmentioning

confidence: 99%

See 2 more Smart Citations

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

et al. 1992

View full text Add to dashboard Cite

This paper reports on the status of The University of Texas at Arlington student effort to design, build and fly an Autonomous Aerial Vehicle. Both the 1991 entry into the First International Aerial Robotics Competition as well as refinements being made for 1992 are described. Significant technical highlights include a real-time vision system for target objective tracking, a real-time ultrasonic locator system for position sensing, a novel mechanism for gradually moving from human to computer control, and a hierarchical control structure implemented on a 32-bit microcontroller. Detailed discussion about the design of multivariable automatic controls for stability augmentation is included. Position and attitude control loops are optimized according to a combined ~2 and 3~ criteria. We present a modification of a recently published procedure for recovering a desired open-loop transfer function shape within the framework of the mixed ~2/~ problem. This work has led to a new result that frees a design parameter related to imposing the ~-norm constraint. The additional freedom can be used to improve upon the performance and robustness characteristics of the system.

show abstract

Section: Stability Augmentation and Attitudementioning

confidence: 99%

Section: Acknowledgmentsmentioning

confidence: 99%

See 1 more Smart Citation

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

et al. 1992

View full text Add to dashboard Cite

show abstract

“…Doyle et al (1989b) considered a related output feedback mixed 2 / HH ∞ problem (also see . The two approaches have been shown in Yeh et al (1992) to be duals of one another in some sense. Also, various approaches for solving the mixed 2 / HH ∞ problem are presented Limebeer et al 1994;Sznaier ,1994;Rotstein & Sznaier, 1998 ;Sznaier et al , 2000) .…”

Section: Introductionmentioning

confidence: 99%

Discrete Time Mixed LQR/H∞ Control Problems

Xu¹

2011

Discrete Time Systems

View full text Add to dashboard Cite

“…This problem is restricted to the case Wo = w 1 =: w. Instead of minimizing II TZowll 2 , they considered the minimization of an "upper bound" for II T""wll2, subject to the constraint II Tz,wlloc < y. Recently, many papers have appeared that address this mixed ~/ ' Jeoc controller design problem, see for example, Bambang et al (1990), Doyle et al (1989a), Khargonekar and Rotea (199la,b), Mustafa and Bernstein (1991), Steinbuch and Bosgra (1991), Yeh et al (1992), Zhou et al (1990) and the references cited therein.…”

Section: Introduction Design Of Control Systems Almost Invariably Invmentioning

confidence: 99%

Mixed H₂/H_∞ control for discrete-time systems via convex optimization

Kaminer

Khargonekar

Rotea

1992

1992 American Control Conference

View full text Add to dashboard Cite

A mixed 'lei.I 'lie,, problem for discrete-time systems is solved by converting it into a convex optimization problem over a finite-dimensional space.Key Words-Robust control; multiobjective control; convex programming.Abstract-A mixed 'le.ii :Jl"' control problem for discrete-time systems is considered, where an upper bound on the 'lei norm of a closed loop transfer matrix is minimized subject to an :Jl,,, constraint on another closed loop transfer matrix. Both state-feedback and output-feedback cases are considered. It is shown that these problems are equivalent to finite-dimensional convex programming problems. In the state-feedback case, nearly optimal controllers can be chosen to be static gains. In the output feedback case, nearly optimal controllers can be chosen to have a structure similar to that of the central single objective :Jl,,, controller. In particular, the state dimension of nearly optimal outputfeedback controllers need not exceed the plant dimension.

show abstract

Necessary and sufficient conditions for mixed H/sub 2/ and H/sub infinity / optimal control

Cited by 50 publications

References 4 publications

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

Discrete Time Mixed LQR/H∞ Control Problems

Mixed H₂/H_∞ control for discrete-time systems via convex optimization

Contact Info

Product

Resources

About

Necessary and sufficient conditions for mixed H/sub 2/ and H/sub infinity / optimal control

Cited by 50 publications

References 4 publications

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

The University of Texas at Arlington Autonomous Aerial Vehicle?An overview

Discrete Time Mixed LQR/H∞ Control Problems

Mixed H2/H∞ control for discrete-time systems via convex optimization

Contact Info

Product

Resources

About

Mixed H₂/H_∞ control for discrete-time systems via convex optimization