2 edition of **Suboptimal design of minimal-time feedback regulators for linear, time-invariant plants.** found in the catalog.

Suboptimal design of minimal-time feedback regulators for linear, time-invariant plants.

Eliezer Shapiro

- 30 Want to read
- 30 Currently reading

Published
**1972**
in [New York?]
.

Written in English

- Control theory.,
- Mathematical optimization.,
- Feedback control systems.,
- Linear time invariant systems.

Classifications | |
---|---|

LC Classifications | QA402.3 .S48 |

The Physical Object | |

Pagination | iii, 155 l. |

Number of Pages | 155 |

ID Numbers | |

Open Library | OL5454543M |

LC Control Number | 73156733 |

techniques needed to design linear, time-invariant feedback controls for sing le - input, single - output, linear, and time - invariant s ys tems has been very well developed. to design many systems that are in operation today. has also been applied with some success to multiple input, multiple- output, time-invariant, linear systems. SIAM Journal on Control and Optimization , () Feedback design for robust tracking of linear systems with rate limited actuators. Guidance, () The optimal linear-quadratic time-invariant regulator with cheap control. IEEE Transactions on Automatic Control , Cited by:

This means that we have to design a feedback control regulator in the boundary conditions as a function of the state position ~ E IRn, where ~ is generated by the dynamic system () via the moving point of observation y(t, xo) for each t E [0, T]. Feedback Control for Discrete-Time Systems Discrete-time design for feedback controls yields Digital Controllers that can be implemented as difference equations on a digital computer. A discrete-time system is given by xkkk 1 Ax Bu with nm, xkk Ru R. The initial condition is x0. We seek to find a state-variable feedback (SVFB) controlFile Size: KB.

() Stabilizing static output feedback receding horizon controls for linear discrete time-invariant systems. International Journal of Control , () Trust region methods for solving the optimal output feedback design by: A method recently developed for solving the output regulator problem is extended to linear systems with constant disturbances. The design of static and low-order dynamic regulators for linear systems based on the use of projective controls is reviewed first. The proposed method determines through a unified procedure the order and the parameters of the compensator, together with the feedback Cited by:

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Abstract: A method is presented for designing controllers for linear time-invariant systems whose states are not all available or accessible for measurement and where the structure of the controller is constrained to be a linear time-invariant combination of the measurable states of the system.

Two types of structure constraints are considered: 1) each control channel is constrained to be a Cited by: In this paper, a time-optimal control problem is considered for plants represented by chains of integrators.

A suboptimal solution obtained by using the implicit Lyapunov function approach is proposed in the form of continuous finite-time state feedback regulator. An algorithm for optimal tuning the parameters of the controller is formulated as a finite-dimensional semidefinite by: 2.

Abstract: This paper deals with the determination of suboptimal feedback laws for the control of linear time-varying systems with quadratic performance criteria.

Easily implementable time functions are used to generate the required time-varying gains; free constant parameters in the control law description are chosen so as to minimize an "averaged" control by: A method for designing suboptimal minimal time controllers for linear, time-invariant regulator systems is presented.

An economical closed-loop controller is obtained by using Lyapunov surfaces, corresponding to a quadratic Lyapunov function, as a continuous approximation for isochronal surfaces. Systems employing this controller are obtained by minimization, with respect to parameters of the Author: Eliezer Y.

Shapiro. Abstract: A procedure for the design of optimal feedback controls for linear time-invariant systems relative to time-multiplied quadratic performance indices is presented. An iterative scheme for the computation of the optimal control law is proposed.

An example is given to demonstrate the control over transient behavior given by the design based on time-multiplied performance indices. The problem is considered of designing an optimal linear time-invariant dynamic compensator for the regulation of an n-th order linear time-invariant plant with m independent outputs.

A method is developed for the approximate design of an optimal state regulator for a linear periodically varying system with quadratic performance index.

The periodic term is taken to be a perturbation to the system. By making use of a power-series expansion in a small parameter, associated with periodic terms, a set of matrix equations is derived for determining successively a feedback by: 4.

Massachusetts Institute of Technology. Dept. of Electrical Engineering. Thesis. Ph.D. On the Design of Suboptimal Controllers for Minimal Time Feedback Regulators August IEEE Transactions on Aerospace and Electronic Systems Eliezer Y.

Shapiro. CAD of Suboptimal Linear Regulators T LP = 0*5 T LPo T LP LP LP, 2 Low pressure spool speed (x,) responses illustrating state dispersion with varying T L P for a) b) c) original output feedback controller design desensitized output feedback controller design, and desensitized dynamic compensator design.

1 3 4 t Sampled data design Author: P.J. Fleming, S.J. Brown. These features have been Three design applications are described. incorporated in a CAD program package For a helicopter r egul a t ion prob l em output (Fleming ) which presents the user with feedback and dynamic compensation techniques a number of design options, all of which can are emp loyed wi th the mode I-following option be solved Author: P.J.

Fleming, S.J. Brown. CHAPTER IV THE FEEDBACK IMPLEMENTATION STRUCTURES Introduction The S(M, N, K) Structures The S(M, N, K) Design Procedure Gradient Projection on S(M, N, K) CHAPTER V SUBOPTIMAL DESIGN TECHNIQUES Introduction Criteria For Suboptimal Design 5,3 The SDPl Algorithm 10 10 11 18 25 25 26 31 37 42 48 50 54 60 60 60 66 A new form is presented for the transient solution of the matrix Riccati equation associated with the linear optimal regulator and filter problems for time-invariant plants.

An alternative method to construct an optimal memoryless regulator of systems with time-delay in the states is proposed. A feedback law is constructed with a solution of a linear matrix : Tomohiro KUBO.

SUBOPTIMAL LINEAR REGULATOR DESIGN OPTIONS The basic linear optimal regulator problem may be stated thus: P. Fleming Problem:Given the linear time-invariant plant description x = A x +B u -p p -p p -p y =C x *P P "P performance index (PI) J= T T {x Q x + u x R u } dt.

* p p -p -p p -p,x(0)=x -p v -p Q (1) (2) second and third terms Cited by: 3. Some new results on optimal and suboptimal regulators of the LQ problem with output feedback Abstract: The LQ (linear quadratic) regulator problem with output feedback is considered. In the problem studies an output feedback control is determined such that the cost is J*, the optimal cost for the LQ problem with state feedback, or beta j* with Cited by: sideration when designing optimal linear regulator systems is investi-gated.

The study is conducted by prespecifying the structural form of time-varying feedback gains, while leaving various free parameters to be chosen optimally.

In this manner, a suboptimal linear regulator problem is precisely formulated. Hartmann I., Lange W., Poltmann R. () Design of Linear Time-Invariant Feedback Systems with Minimized Comparison Sensitivity Function.

In: Robust and Insensitive Design of Multivariable Feedback Systems — Multimodel Design —. Advances in Control Systems and Signal Processing, vol 6. Vieweg+Teubner Verlag, WiesbadenAuthor: Irmfried Hartmann, Werner Lange, Rainer Poltmann. A design oriented methodology is presented for the construction of low-order, suboptimal, output feedback compensators.

The design is suboptimal in the sense that it retains an l-dimensional eigenspace from a reference optimal state-feedback linear quadratic regulator r is the number of outputs, then for fixed l > r, it is known that the design requires a dynamic Cited by: The design problem of optimal output feedback controller for discrete-time linear time-invariant systems is investigated with a class of time-multiplied quadratic performance indexes.

Necessary. Control and Dynamic Systems Optimal Low-Order Feedback Controllers for Linear Discrete-Time Systems JOHN O'REILLY D epartm ent o f Electrical Engineering and Electronics UniversitCited by: Automatica, Vol.

22, No. 5, pp.Printed in Great Britain. /86 $ + 0,00 Pergamon Journals Ltd. i' International Federation of Automatic Control A Linear Programming Regulator Applied to Hydroelectric Reservoir Level Control* PER-OLOF GUTMANt For linear systems with linear state and control constraints, the regulator problem can be formulated as a linear Cited by: B.A.

Francis and M. Vidyasagar, Algebraic and topological aspects of the regulator problem for lumped linear systems, Automatica, 19, 87–90 () zbMATH CrossRef MathSciNet Google Scholar [3] M. Fujita, F. Matsumura and M. Shimizu: H ∞ robust control design for a magnetic suspension system; Proc.

of 2nd Int. Sympo. on Magnetic Bearing, pp Cited by: 2.