High Performance Control by Teng-Tiow Tay

By Teng-Tiow Tay

The engineering goal of excessive functionality regulate utilizing the instruments of optimum keep an eye on concept, powerful keep an eye on idea, and adaptive regulate thought is extra achiev­ capable now than ever sooner than, and the necessity hasn't ever been better. in fact, once we use the time period excessive peiformance keep an eye on we're taking into account attaining this within the genuine global with all its complexity, uncertainty and variability. because we don't anticipate to continually in achieving our wishes, a extra whole name for this e-book may be "Towards excessive functionality Control". to demonstrate our activity, give some thought to for example a disk force monitoring process for a transportable computing device. the higher the controller functionality within the presence of eccen­ tricity uncertainties and exterior disturbances, corresponding to vibrations while operated in a relocating car, the extra tracks can be utilized at the disk and the extra reminiscence it has. Many structures at the present time are regulate procedure restricted and the hunt is for prime functionality within the genuine world.

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6) is equivalent to the stability condition that (I - GK)-1 E RHoo, and that there be no pole/zero cancellations in the open-loop transfer function KG, or G K . 3). 3. 1 with G replaced by P and K replaced by [g ~ ]. This leads to the following. 2. 7) 32 Chapter 2. 3. 8) We remark that a necessary condition for stability is that the pair (P22, K) is stabilizing. To connect to earlier results we set P22 = G so that this condition is the familiar condition that (G, K) is stabilizing. If in addition, Pl1 E RHoo , and P21, P12 belong to RHoo or P21 and/or P12 are identical to G = P22, then this condition is also sufficient for stability.

16 Chapter 1. Performance Enhancement In Chapter 8, the direct adaptive- Q scheme is applied for optimal control of nonlinear systems by means of linearization techniques. The idea is that in the real world setting these closed-loop controllers should achieve as close as possible the performance of an optimal open-loop control for the nominal plant. The concept of a learning- Q scheme is developed. In Chapter 9, real-time controller implementation aspects are discussed, including the various hardware and software options for a controller designer.

In this context all operators have corresponding proper rational transfer function matrices. In Chapter 7, the case of time-varying systems is seen to follow much of the development here when the transfer functions are generalized to time-varying operators. The underlying stability concept of interest to us here is bounded-input, bounded-output stability (BIEO): Definition. A system is called BIEO stable if any norm bounded input yields a norm bounded output. When the class of inputs is bounded in an £2 norm sense and leads to £2 norm bounded outputs, the system is said to be BIBO stable in an £2 sense.

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