Sliding mode control is presented as a natural tool for robust design of state feedback controllers for minimum phase input-output linearizable systems with uncertainty. An example is presented to illustrate some of the issues involved in the design of sliding mode robust controllers. The problem of too much power in detecting biases for a real chemical process. Power, which increases with the number of measurements used in a hypothesis test, represents the ability of the test to correctly conclude the existence of bias or a leak. As computer technology continues to improve, so does the ability to store large quantities of data.
Measurement bias occurs from miscalibrated instruments and equipment failures.
To some degree, most instruments will have some amount of bias at any given time. This work demonstrates the dilemma of too much power and stresses the control of power by using power functions and a controlled number of measurements. The seventh article by Victoria C.P. Chen, Maritza Melendez and Derrick K is a study conducted using real plant data provided by the Shell Development Company. Several risk analysis techniques that can be used to comply with the aformentioned requirements are discussed and a simple example is used to illustrate the use, advantages and disadvantages of the techniques. These include failure rate, fail safe fraction, diagnostics coverage and common cause.