Many design problems, including control design problems, involve infinite dimensional constraints. Recent algorithms for solving design problems having such constraints are summarized.
Many design problems, including control design problems, involve infinite dimensional constraints. Recent algorithms for solving design problems having such constraints are summarized.
An approximate method of calculating the contributions of the gains in a feedback structure is produced. The discrete time, linear, quadratic state feedback problem is considered. By state and control augmentation dyn...
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An approximate method of calculating the contributions of the gains in a feedback structure is produced. The discrete time, linear, quadratic state feedback problem is considered. By state and control augmentation dynamic compensators with fixed and tunable parameters including decentralized and hierarchal structures can, also, be handled. An example is used to illustrate the usefulness of the approach in selecting good simplified feedback structures and to verify the reasonableness of the assumptions.
We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities a...
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We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities and a nondifferentiable optimization subalgorithm which solves these finite sets of inequalities.
The design problem of choosing a set of parameters so that inequality constraints are satisfied for a specified variation of parameter values about their nominal value, is considered. Such problems occur when systems ...
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The design problem of choosing a set of parameters so that inequality constraints are satisfied for a specified variation of parameter values about their nominal value, is considered. Such problems occur when systems must be synthesized from components whose values are only known to a certain tolerance. Simple algorithms exist for such problems when the constraints are convex. This paper presents an algorithm which is valid for the non-convex case, The algorithm utilizes concepts employed by Eaves and Zangwill in their generalized cutting plane algorithms.
This paper shows how the design of feedback controllers for nonlinear systems may be formulated as an optimization problem with infinite dimensional constraints for which known algorithms may be employed. An important...
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This paper shows how the design of feedback controllers for nonlinear systems may be formulated as an optimization problem with infinite dimensional constraints for which known algorithms may be employed. An important aspect is a method for reducing the time interval, required to insure stability, to a finite value.
The output controllability condition of the class of time-invariant multivariable linear delay-differential systems is investigated by using an algebraic approach. The controllability condition is given in terms of th...
The output controllability condition of the class of time-invariant multivariable linear delay-differential systems is investigated by using an algebraic approach. The controllability condition is given in terms of the kernel of a map, which determines the behaviour of output after time t = 0 due to input up to t = 0. This kernel is then completely characterized by a module generated by the columns of a matrix directly computable from the system transfer function. It is shown that every reachable output of the system considered can be controlled to zero in finite time. This paper is intended to form a part of the first stage in the development of an operator transfer function approach to the design of certain class of infinite dimensional systems which commonly occur in industry and other fields.
control dynamics of the T-B cell interactions and their generation of antibody to bind alien antigens are studied here. System structure, reachability, positive invariance, stability, computer simulation and compariso...
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control dynamics of the T-B cell interactions and their generation of antibody to bind alien antigens are studied here. System structure, reachability, positive invariance, stability, computer simulation and comparison of the primal model with experimental data are presented.
Many design problems, including control design problems, involve infinite dimensional constraints of the form ϕ(z, α) ≤ 0 for all α ε A where α denotes time or frequency or a parameter vector. In other design pro...
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Many design problems, including control design problems, involve infinite dimensional constraints of the form ϕ(z, α) ≤ 0 for all α ε A where α denotes time or frequency or a parameter vector. In other design problems, tuning or trimming of certain parameters, after manufacture of the system, is permitted; the corresponding constraint is that for each α in A there exists a value τ (of the tuning parameter) in a permissible set T such that φ(z,α,t) < 0. New algorithms for solving design problems having such constraints are described.
We report on some recent results, in which it is shown that the infinite time quadratic cost control problem for linear systems with state and control delays can be solved using evolution equation techniques. The basi...
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We report on some recent results, in which it is shown that the infinite time quadratic cost control problem for linear systems with state and control delays can be solved using evolution equation techniques. The basis of our approach is a delay free evolution equation with bounded input operator governing the state, which permits application of the abstract theory of quadratic cost control of linear systems defined on Hilbert spaces.
This paper collects a number of scattered results on the solution of both finite and infinite systems of inequalities into a unified whole. In particular, it presents two methods which solve finite systems of inequali...
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This paper collects a number of scattered results on the solution of both finite and infinite systems of inequalities into a unified whole. In particular, it presents two methods which solve finite systems of inequalities in a finite number of iterations and which use outer approximations techniques for infinite systems of inequalities.
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