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Chapter 8: Verification and Engineering Applications

From optimality conditions to defensible engineering conclusions

Theory and algorithms are valuable only when they lead to defensible engineering conclusions. This chapter begins with a verification-oriented workflow and then applies the book’s recurring ideas to three contrasting problems: fixed-time ascent steering, fuel-efficient lunar landing, and minimum-time aircraft climb through an energy-state approximation. Together they illustrate analytical structure, constrained control, reduced-order modeling, and the need to check every claimed optimum.

Chapter contents

  1. Capstone Projects, Solution Verification, and Practical Methodology

  2. Bilinear Tangent Steering Law for Fixed-Time Ascent

  3. Soft Lunar Landing on a Flat Moon

  4. Energy-State Approximation and Minimum-Time Climb

  5. Exercises

Chapter 7: Path Constraints, Dynamic Programming, and Feedback
Exercises
Chapter 8: Verification and Engineering Applications
Capstone Projects, Solution Verification, and Practical Methodology